# Differences in mean allowance nationally and for Ohio

In a recent national survey, the mean weekly allowance for a nine-year-old child from his parents was $3.65. A random sample of 45 nien-year-old in northwestern Ohio revealed the mean allowance to be $3.69 with standard deviation of .24. At the .05 level of significance, is there a difference in the mean allowance nationally and the mean allowance in northwestern Ohio for nine-year-olds?

© BrainMass Inc. brainmass.com June 3, 2020, 6:59 pm ad1c9bdddfhttps://brainmass.com/statistics/hypothesis-testing/differences-mean-allowance-nationally-ohio-82421

#### Solution Preview

Solution:

µ = 3.65

n = 45

xbar = 3.69

s = 0.24

Ho: There is no difference in the mean allowance nationally and the mean allowance in northwestern Ohio ...

#### Solution Summary

This solution uses hypothesis testing, computing the Z test statistic at the .05 level of significance to determine if there is a difference in the mean allowance nationally and the mean allowance in northwestern Ohio for nine-year-olds.