Homework Help for Probability

You want to test the claim that, on average, it takes more than 6060 minutes for the caffeine in a cup of coffee to take effect on the body. So you take a random sample of 25 people and record the time, in minutes, that it takes for the amount of caffeine in a cup of coffee to have a physiological effect on each person. Does the sample provide sufficient evidence to support your claim at the 0.01 level of significance? (You have good reason to believe that, for a substance like caffeine, the population standard deviation is approximately 6 minutes.)

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1. What are the null and alternative hypotheses?
   H0�0:  Select an answer   n   s   μ   x̄   σ  Correct  ?   ≠   >   =   ≤   <   ≥  Correct Correct
   Ha��:  Select an answer   x̄   s   μ   n   σ  Correct  ?   ≥   <   ≠   ≤   =   >  Correct Correct
   
   
2. What type of tailed test should we run?  Select an answer   left-tailed   right-tailed   two-tailed  Correct
   
   
3. What type of test should we run in terms of the distribution?  Select an answer   F-test   p-test   t-test   z-test  Correct
   
   
4. Enter in your critical value(s) rounded to four decimal places. If there is more than one critical value, enter them separated by a comma.
   Correct2.3263
   
   
5. The rejection region consists of all  Select an answer   z-values   p-values   F-values   t-values   that are  Select an answer   less than or equal to   greater than or equal to   outside of   . (If you chose the outside of option, enter in the two values separated by a comma.)
   
   
6. The sample mean ¯x=�¯= minutes. (rounded to four decimal places)
   The test statistic is . (rounded to four decimal places)
   
   
7. The correct decision is to  Select an answer   Fail to reject the null hypothesis H_0.   Reject the null hypothesis H_0.   .
   
   
8. At the given significance level, the correct conclusion is:
   • At the 0.010.01 significance level, the sample data does not provide sufficient evidence to support the claim that on average, at the population level, it takes more than 6060 minutes for the caffeine in a cup of coffee to take effect on the body.
   • At the 0.010.01 significance level, the sample data provides sufficient evidence to support the claim that on average, at the population level, it takes more than 6060 minutes for the caffeine in a cup of coffee to take effect on the body.
   
   
   
9. Given your decision above, you run the risk of having made a  Select an answer   Type II error   Type I error   .

Day One - Collecing DC Housing Date

Objective

You will collect housing data from two DC neighborhoods of your chole.

Directions

You will be collecting statistical data in order to study neighborhoods of your own choosing veltineed to collect quantitative and tact corical data for at least 5 DC houses in which you are interested in two different neighborhoods. Use zillow.com and complete the table below.

Neighborhood 1:,

Neighborhood 2:

Address

2005 Tax assessment,

2015 Tax

Assessment, square

Footage,year built, Type of

House, Exterior

Day Two - Visualizing Your Data

Objective

You will develop visual tools to represent your data. These visual tools may include pie charts, histograms, and frequency tables.

Directions

Objective

You will develop visual tools to represent your data. These visual tools may include pie charts, histograms, and frequency tables.

Directions

Now that you have gathered a reasonable amount of data on two DC neighborhoods, it is time to engage , it is time to engage in some analysis. You will develop frequency tables, bar graphs, and pie charts for one of the qualitative variables of your choice (House Type or Exterior Material).

A. Creating Histograms
You will need to create 6 histograms, 3 for each neighborhood. https://www.meta-chart.com/
Neighborhood #1:

2005 Tax Assessment

2015 Tax Assessment

Square Footage.

Neighborhood #2:

2005 Tax Assessment

2015 Tax Assessment

Square Footage.

[Neichborhood 1

Histogram 1: 2005 Tax.

Assessment

Histogram 2: 2015 Tax

Assessment

Histogram 3: Square Footage

Neighborhood

Histogram 4: 2005 Tax

Assessment

Histogram 5: 2015 Tax

Assessment

Histogram 6: Square Footage

NOTE: For each histogram, determine the shape of the distribution and explain your reasoning. The distribution can be normal, left skewed, right skewed, bi-modal, or flat. Add descriptions in table above.

4 boxes each

Calculating Frequencies

Frequency Table Neighborhood #1:.

House Typ

Frequency

Relative Frequency

Percent

Frequency Table Neighborhood #2:

Frequency

House Type

Relative Frequency

Percent

A frequency is the number of times a given data point occurs in a data set. According to the table above, you are looking for the frequency of each house type (e.g., single family home, condo, multifamily). The total of the frequency column represents the total number of homes included in the sample.

A relative frequencyis the fraction or proportion of times an answer occurs. To find the relative

frequencies, divide each frequency by the total number of homes in the sample. You will write your relative frequencies as percentages.

C.

Creating Bar Graphs single.html

Bar graph

Neighborhood #1:

Multi family,condo,single family

Neighborhood #2:

Multi family,condo,single family

Create Pie Chart https://www.meta-chart.com/pie

Pie Chart

Neighborhood #1:

Neighborhood #2:

Analysis

write an explanation of what you see in the data. One paragraph should discuss the purpose of the projectand the process it took to complete it. Next 2 paragraphs should compare and contrast the two neighborhoods, make sure to reference the visuals from above. Final paragraph should provide a summary of where you would

live and why.

Day Four - Create Neighborhood Comparison Report

Objective

Today you will compile your housing data and results and design a multimedia presentation of your neighborhood

comparison project.

Directions

You spent the last few days collecting and analyzing qualitative and quantitative data from two neighborhoods of your choice.

Now you will have the chance to construct a refined mathematical report thatdetails the differences and similarities between the two neighborhoods. To do so, you will need to revisit the charts, graphs and calculations you developed and use them to complete you neighborhood project template.

Outline of Report

You will need the following sections in your report.

Section

Details

Title Page

• Title

• Picture of both neighborhoods

• Name, Period, and Date

Introduction

• Purpose of the Project

• Briefly explain how you completed the project and outline the rest of this paper -

• Summarize your conclusion or recommendation

* It is recommended that you complete this section last

Study Methods

• Identify the two neighborhoods

• Identify the locations

• Explain why you chose to study these neighborhoods

• Explain where you found your data

• How did you select the houses in your sample

• What quantitative and categorical data you collected

• Explain your Google Sheet Calculations

Neighborhood #I

Introduction

Describe your neighborhood (Give history on the neighborhood)

• Qualitative Data

• House Type

• Exterior Material

• Include graphs that show exterior material and house types

Keighborhood #1: Analysis

Analyze your quanticative data usingy our histograms, measuresof center and spread:

• Quantitative Data

-House Price

-House Age

-Distribution of Tax Assessment

• Price Differences

-Price per Square Foot

• Include histograms for all quantitative data

Neighborhood #2:

Introduction

Describe your neighborhood (Give history on the neighborhood)

Qualitative Data

• House Type

-Exterior Material

Include graphs that show exterior material and house types

• Include graphs that show exterior material and house types

_ Neighborhood #1: Analysis

Analyze your quantitative data using your histograms, measures of center andspread:

Quantitative Data o House Price.

• House Age

O Distribution of Tax Assessment

• Price Differences

• Price per Square Foot

• Include histograms for all quantitative data

Neighborhood Comparison-

• Explain the similarities between thetwo neighborhoods

Explain how the neighborhoods are similar

Explain the differences between the two neighborhoods

Explain how the neighborhoods are different

Conclusion

• Summarize the results of your data analysis

• How do you feel about the data?

• How can your analysis help change the neighborhoods? I

Day One - Collecing DC Housing Date

Objective

You will collect housing data from two DC neighborhoods of your chole.

Directions

You will be collecting statistical data in order to study neighborhoods of your own choosing veltineed to collect quantitative and tact corical data for at least 5 DC houses in which you are interested in two different neighborhoods. Use zillow.com and complete the table below.

Neighborhood 1:,

Neighborhood 2:

Address

2005 Tax assessment,

2015 Tax

Assessment, square

Footage,year built, Type of

House, Exterior

Day Two - Visualizing Your Data

Objective

You will develop visual tools to represent your data. These visual tools may include pie charts, histograms, and frequency tables.

Directions

Objective

You will develop visual tools to represent your data. These visual tools may include pie charts, histograms, and frequency tables.

Directions

Now that you have gathered a reasonable amount of data on two DC neighborhoods, it is time to engage , it is time to engage in some analysis. You will develop frequency tables, bar graphs, and pie charts for one of the qualitative variables of your choice (House Type or Exterior Material).

A. Creating Histograms
You will need to create 6 histograms, 3 for each neighborhood. https://www.meta-chart.com/
Neighborhood #1:

2005 Tax Assessment

2015 Tax Assessment

Square Footage.

Neighborhood #2:

2005 Tax Assessment

2015 Tax Assessment

Square Footage.

[Neichborhood 1

Histogram 1: 2005 Tax.

Assessment

Histogram 2: 2015 Tax

Assessment

Histogram 3: Square Footage

Neighborhood

Histogram 4: 2005 Tax

Assessment

Histogram 5: 2015 Tax

Assessment

Histogram 6: Square Footage

NOTE: For each histogram, determine the shape of the distribution and explain your reasoning. The distribution can be normal, left skewed, right skewed, bi-modal, or flat. Add descriptions in table above.

Watch the CNN 10 video: https://www.youtube.com/watch?v=sHp-cobXmrk

Three things I learned :

Two things I found interesting :

One question I have:

2. We toss a fair six-sided die twice, and record the number that is showing on each toss.
(a) How many outcomes are there in the sample space?

(b) What is the probability that the die shows 5 at least once?

(c) What is the probability that the die does not show 5?

IMPORTANT ELEMENTS

• Brief explanation on how to perform Leg Curl

• Muscle/Muscles worked by performing the Leg Curl

• What sports/activities benefit from doing the Leg Curl

• How to modify the Leg Curl to either make it easier or more challenging

RUBRIC

Required Elements:

The poster includes all required elements as well as additional information.

All required elements are included on the poster.

All but 1 of the required elements are included on the poster.

Several required elements were missing.

Labels:

All items of importance on the poster are clearly labeled with labels that can be read from at least 3 feet away.

Almost all items of importance on the poster are clearly labeled with labels that can be read from at least 3 feet away.

Many items of importance on the poster are clearly labeled with labels that can be read from at least 3 feet away.

Labels are too small to view OR no important items were labeled.

Graphics - Relevance:

All graphics are related to the topic and make it easier to understand. 

All graphics are related to the topic and most make it easier to understand. 

All graphics relate to the topic. 

Graphics do not relate to the topic.

Attractiveness:

The poster is exceptionally attractive in terms of design, layout, and neatness.

The poster is attractive in terms of design, layout, and neatness.

The poster is acceptably attractive though it may be a bit messy.

The poster is distractingly messy or very poorly designed. It is not attractive.

Grammar:

There are no grammatical/mechanical mistakes on the poster.

There are 1-2 grammatical/mechanical mistakes on the poster.

There are 3-4 grammatical/mechanical mistakes on the poster.

There are more than 4 grammatical/mechanical mistakes on the poster.

There are 1-2 grammatical/mechanical mistakes on the poster.

There are 3-4 grammatical/mechanical mistakes on the poster.

There are more than 4 grammatical/mechanical mistakes on the poster

IMPORTANT ELEMENTS

• Brief explanation on how to perform the exercise

• Muscle/Muscles worked by performing the exercise

• What sports/activities benefit from doing the exercise

• How to modify the exercise to either make it easier or more challenging

RUBRIC

Required Elements:

The poster includes all required elements as well as additional information.

All required elements are included on the poster.

All but 1 of the required elements are included on the poster.

Several required elements were missing.

Labels:

All items of importance on the poster are clearly labeled with labels that can be read from at least 3 feet away.

Almost all items of importance on the poster are clearly labeled with labels that can be read from at least 3 feet away.

Many items of importance on the poster are clearly labeled with labels that can be read from at least 3 feet away.

Labels are too small to view OR no important items were labeled.

Graphics - Relevance:

All graphics are related to the topic and make it easier to understand. 

All graphics are related to the topic and most make it easier to understand. 

All graphics relate to the topic. 

Graphics do not relate to the topic.

Attractiveness:

The poster is exceptionally attractive in terms of design, layout, and neatness.

The poster is attractive in terms of design, layout, and neatness.

The poster is acceptably attractive though it may be a bit messy.

The poster is distractingly messy or very poorly designed. It is not attractive.

Grammar:

There are no grammatical/mechanical mistakes on the poster.

There are 1-2 grammatical/mechanical mistakes on the poster.

There are 3-4 grammatical/mechanical mistakes on the poster.

There are more than 4 grammatical/mechanical mistakes on the poster.

There are 1-2 grammatical/mechanical mistakes on the poster.

There are 3-4 grammatical/mechanical mistakes on the poster.

There are more than 4 grammatical/mechanical mistakes on the poster

Using the graph below, create a scatter plot comparing the number of minutes played to the number of points scored. Number of minutes played should go on the x-axis and points scored should be plotted on the y axis After completing your scatterplot, please find the line of best-fit and graph it in the coordinate plane

7 students randomly select one topic among A, B and C topics for a homework. What is the probabilitythat topic A is selected by exactly 2 students?

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.

Compute the probability of each of the following events.

Event A: The sum is greater than 5.

Event B: The sum is an odd number.

Write your answers as fractions.

4th one????

3rd one????

2nd oneee????

First one…..

Application 1.3 How can we check the health of a stream?

Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off into streams, the nitrates can have a toxic effect on fish. An ecologist studying nitrate pollution in two streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots below display the data.

1. Explain what the dot above 12 in the Stony Brook graph represents.

2. What percent of the nitrate concentration measurements for each stream exceeded 10 mg/L?

Compare the centers of these two distributions.