Suppose that you are testing the hypotheses H0​: μ=17   HA​: μ>17. A sample of size 25 results in a sample mean of 17.5 and a sample standard deviation of 2.2. ​a) What is the standard error of the​ mean? ​b) What is the critical value of​ t* for a 95​% confidence​ interval? ​c) Construct a 95​% confidence interval for μ. ​d) Based on the confidence​ interval, at α=0.025 can you reject H0​? Explain

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Suppose that you are testing the hypotheses

H0​:

μ=17

  1.  

HA​:

μ>17.

A sample of size

25

results in a sample mean of

17.5

and a sample standard deviation of

2.2.

​a) What is the standard error of the​ mean?

​b) What is the critical value of​ t* for a

95​%

confidence​ interval?

​c) Construct a

95​%

confidence interval for

μ.

​d) Based on the confidence​ interval, at

α=0.025

can you reject

H0​?

Explain

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