Answer:
We fail to reject the null hypothesis at the significance level of 0.05.
Step-by-step explanation:
We have a larga sample size of n = 80, and s = 2.29. We want to test
vs (two-tailed alternative)
Because we have a large sample, our test statistic is
which is normal standard approximately. We have the observed value
.
The p-value is given by 2P(Z < -0.4296) = (2)(0.3337) = 0.6674 (because of the simmetry of the normal density)
With the significance level , we fail to reject the null hypothesis because the p-value is greater than 0.05.