Please show your work thanks 1 Consider the following hypoth

Please show your work. thanks

1.

Consider the following hypothesis test.

H_o: 14

H_a: < 14

A sample of 64 provides a sample mean of 13 and a sample standard deviation of 4.

Determine the standard error of the mean (to 1 decimal).
Compute the value of the test statistic.

2.

consider the following hypothesis test.

H_o: 38

H_a: >; 38

You are given the following information obtained from a random sample of six observations. Assume the population has a normal distribution.

38  40  42  32  46  42

Compute the mean of the sample
Determine the standard deviation of the sample (to 2 decimals).

Determine the standard error of the mean (to 2 decimals).

Compute the value of the test statistic (to 3 decimals).

Solution

1) t statisttic = -2.0

Std error = 4/8 =0.5

df =63

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2)

Std error = 1.9318

t statistic = 1.03507

df =5

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