We have a large sample from an unspecified distribution. Sample size

is 64. Sample mean is 9.8, and sample standard deviation is

2.6. Test the null hypothesis H0: u = 9 vs. the alternative hypothesis

Ha: u > 9 . You can use the percentiles from previous problems.

Some critical T percentiles. t_{0.95,5}=2.015,

t_{0.975,5}=2.571, t_{0.95,6}= 1.943, t_{0.975,6}=2.447,

t_{0.95,7}=1.895, t_{0.975,7}= 2.365

(a) Compute the test statistic

(b) Compute the rejection region at 0.01 significance level

(c) Compute the rejection region at 0.05 significance level

(d) At 0.05 significance level, what is your conclusion about

the test?