A research institute examined the number of smart phones and tablets in American households and reported a mean () of 5 devices per household and a standard deviation () of 1.5 devices. I would like to perform a Z test to see if the numbers of mobile devices in Chandler households (represented by the sample of 16 households) are significantly different from the numbers of mobile devices in the national households. The significance level for my Z test was set at = .05. The hypotheses should be nondirectional because I am not predicting any specific direction of difference, so the test should be two-tailed.

Number of Devices

6,8,6,6,5,7,5,8,7,4,4,6,5,7,6,6

a. What is the dependent variable in this study?

b. What should be my null and alternative hypotheses?

c. Calculate the sample mean.

d. Calculate standard error using the population standard deviation given in the research scenario

e. Calculate the Z statistic

f. Determine the critical Z value(s).

g. Compare the Z statistic with the appropriate critical Z value and then draw a conclusion about the result of the hypothesis test

h. Calculate the standardized effect size