Question

A simple random sample generated 12 male and 18 female adults identified by their primary care physicians as being over-weight. These adults were fed a special high protein diet for a month and had a sample mean weight loss of 10 pounds with a sample standard deviation of 3.2 pounds. We would like to conduct a test to determine whether the average weight loss for all adults is less than 11 pounds at a 1% level of significance.

What would be the appropriate test statistic?

Select one:

a. confidence interval using z

b. confidence interval using t      

c. one-sample t-test   

d. one-sample z-test

e. matched paired test

A sprinter runs the 100 yard dash on four separate occasions. The times (in seconds) are:

11.0 10.8 10.9 11.3

What is the value of the standard error of the mean for the runners time (in seconds)?

Select one:

a. 0.05

b. 0.25

c. 0.11

d. 0.23

e. 0.19

Assume that you are conducting a test with the following hypothesis

Ho: μ = 11 vs Ha: μ < 11. The test statistic for the test is t = -2.96 with a sample size of 30.

What is the p-value for this test?

Select one:

a. between 0.02 and 0.01

b. between 0.05 and 0.025        

c. between 0.005 and 0.01  

d. between 0.0025 and 0.005

e. between 0.100 and 0.050.

We would like to test the claim that less than 8% of Winnipeg driver receive a ticket for not stopping at a red light. A simple random sample of 300 drivers contained 15 who received a red light ticket. The value of the test statistic is:

Select one:

a. -1.92

b. 1.93

c. 2.38

d. 2.91

e. 1.56

The proportion of right-handed students in a university population is 0.20, the probability of obtaining exactly 2 right handed people in a random sample of 4 is

Select one:

a. 0.154

b. 0.051

c. 0.432

d. 0.381

e. 0.563

Answer 1

1.

Here, number of males = 12 and number of females = 18

So, total number of adults = 12+18 = 30

Given sample mean weight loss = 10 pounds and sample standard deviation = 3.2 pounds

We would like to test whether the average weight loss for all adults is less than 11 pounds.

So, the appropriate test statistic would be (c) one sample t-test.

2.

3.