Question: 4- Consider the following hypothesis test. Given that n = 76, = 9, x = 50.7, and = 0.02, complete parts a through d below.

4- Consider the following hypothesis test. Given that n = 76, = 9, x = 50.7, and = 0.02, complete parts a through d below.

H : 0 49

H : A > 49

A-State the decision rule in terms of the critical value(s) of the test statistic.

B-State the calculated value of the test statistic.

C. State the appropriate p-value.

d. State the conclusion

5- Suppose nine items are sampled from a normally distributed population with a mean of 116 and a standard deviation of 17. The nine randomly sampled values are shown in the table.

122 115 94 107 114

115 121 76 104

Calculate the probability of getting a sample mean that is smaller than the mean for these nine sampled values.

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