Suppose that you are testing the hypotheses H0: =15 vs. HA: <15. A sample of size 64 results in a sample mean of 14.5 and a sample standard deviation of 2.2.

a) What is the standard error of themean?

b) What is the critical value oft* for a 95% confidenceinterval?

c) Construct a 95% confidence interval for .

d) Based on the confidenceinterval, at =0.025 can you reject H0? Explain.

a) The standard error of the mean is __. (Answer is an integer or adecimal.)

b) The critical value is t*= __. (Round to three decimal places asneeded.)

c) The 95% confidence interval for is (__,__) (Round to two decimal places asneeded.)

d) Since the hypothesized mean __, (drop-down: is less than, is one of, is greater than, the values contained in the confidenceinterval) (drop-down: do not reject, reject H0.). (Type an integer or adecimal.)

Please show all work. Thanks!