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STA302H1 Lecture Notes - Lecture 5: Sample Size Determination

65 views12 pages
yellowdog520
22 Feb 2016
School
UTSG
Department
Statistical Sciences
Course
STA302H1
Professor
Craig Burkett

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Document Summary

1 l l l l l l l. Sample size = 5 l l l l. Theoretical quantiles l l l l l l. Theoretical quantiles l l l l l l l l l l. Sample size = 10 l l l l l l l. 2 l l l l s a u d s e r i i d e z d r a d n a. 1 l l l l l l l s a u d s e r i i d e z d r a d n a. 1 l l l l l i l s a u d s e r d e z d r a d n a. 2 l l l i l s a u d s e r d e z d r a d n a.

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Related Questions

1. In its standardized form, the normal distribution 

(a) has a mean of 0 and a standard deviation of 1.

(b) has a mean of 1 and a variance of 0.

(c) has an area equal to 0.5.

(d) cannot be used to approximate discrete probability distributions.

 

2. For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770.

The value of Z is

(a) 0.18

(b) 0.81

(c) 1.16

(d) 1.47

 

3. For some value of z, the probability that a standard normal variable is below z is 0.2090. The value of Z is 

(a) -0.81

(b) -0.31

(c) 0.31

(d) 1.96

 

4. For some positive value of X, the probability that a standard normal variable is between 0 and +2x is 0.1255.

The value of X is 

(a)  0.99

(b) 0.40

(c) 0.32

(d) 0.16

 

5. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 35. minutes and a standard deviation of minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

(a) 0.3551

(b) 0.3085

(c) 0.2674

(d) 0.1915 

Using the Raosoft Sample Size calculator, a survey project with a final N of 777 subjects where the population size is estimated to be   the margin of error (+/-) at 95% confidence level would be:

  1. 1%
  2. 3.5%
  3. 7%
  4. 5%
  5. 382

 

A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3. Find the probability that the sample mean computed from the 25 measurements will exceed the sample mean computed from the 36 measurements by at least 3.4 but less than 5.9. Assume the difference of the means to be measured to the nearest tenth.