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For each variable, find the data point farthest from the mean (it could be either above or below the mean). Find the z-score for each of these points. Based on the z-score, is either of these points considered an outlier by this definition? If so, was it also an outlier based on the fences for that variable
 
The first variable is "# of family" it is that whole row

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

 find the data point farthest from the mean (it could be either above or below the mean). Find the z-score for each of these points. 

 

 

Module 4 Minitab Assignment

Instructions:

Below you will find questions. Please use the provided data to complete the tasks and to answer the questions.

For the standard normal distribution, Z, find the proportion (percentage) of observations that satisfies each of the following statements. In each case, use a graph of the Normal curve and shade the area under the curve that is the answer to the question. 


Values of z larger than 2.33.

Between z = −1.50 and z = 1.18. 

Values of z less than 1.19. 

A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 77 and a standard deviation of 8. For each of the following produce a normal distribution plot showing the appropriate shaded area.

What percentage of students scored lower than 70 on this exam? 

What percentage of students scored between 81 and 89? 

What percentage of students scored higher than 90 on this exam? 

What is the 80th percentile of scores? 

What is the 95th percentile of scores?

(14 marks) Fortune magazine publishes a list of the world’s billionaires each year. We will examine the top 97 of the 1992 list. Their wealth, age, and geographic location (Asia, Europe, Middle East, United States, and Other) are reported. Wealth is a right-skewed variable, so we will consider the natural logarithm log wealth to be the response and will see if age and geographic location are predictors.
(a) (2 marks) Let
Ebe a variable that is 1 if the person is from Europe and 0 otherwise,
Mbe a variable that is 1 if the person is from the Middle East and 0 otherwise,
Obe a variable that is 1 if the person is from the “Other” region and 0 otherwise,
and
Ube a variable that is 1 if the person is from the United States and 0 otherwise.
State a linear model for the mean of log wealth that includes age and the above 4
geographic variables. Call this the full model.
(b) (5 marks) The SSY for these data is 28.3351 and the SSE from fitting the full model
is 27.0461. Use this information to construct an ANOVA table. Your table should
include columns for Source, df, SS, MS and F, and should include rows for the model
(full model), residual and total.
(c) (2 marks) In addition to the full model, the reduced model that includes only an
intercept and age is fit. What is the null hypothesis being considered by fitting these
two models? (Refer to quantities defined in your model.)
(d) (3 marks) The SSM from the reduced model is 59.7. Calculate an F-statistic to test the hypothesis of part (c). State the degrees of freedom for the F-distribution
you would compare this statistic to. (You do not need to calculate the p-value or actually test the hypothesis.)
(e) (1 mark) Using terminology from class, name the kind of Ftest that the statistic in part (d) corresponds to.
(f) (1 mark) If the null model for these data is compared to the model that includes an
intercept and age, what are the results?

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