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1. Suppose that you are testing the hypotheses H0: = 16 vs. HA: 6 16. A sample of size 25 results in a sample mean of 16.5 and a standard deviation of 2.0.

a) What is the standard error of the mean?

b) What is the critical value of t* for a 90% confidence interval?

c) Construct a 90% confidence interval for m.

d) Based on the confidence interval, at = 0.05 can you reject H0? Explain.

2. Suppose that you are testing the hypotheses H0: = 80 vs. HA: Z 80. A sample of size 61 results in a sample mean of 75 and a standard deviation of 1.5.

a) What is the standard error of the mean?

b) What is the critical value of t* for a 95% confidence in- terval?

c) Construct a 95% confidence interval for m.

d) Based on the confidence interval, at = 0.05 can you reject H0? Explain.

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  • Reference No.:- M91724262

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