Question

Asked Oct 14, 2019

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A test is made of H0: u= 50 versus H1: u is greater than 50. A sample of size n=75 is drawn, and mean = 56. The population deviation is"q"=20.

a. Compute the value of the test statistic z.

b. Is H0 rejected at the a=0.05 level?

c. Is H0 rejected at the a=0.01 level?

Step 1

a)

The value of the test statistic is ** 2.598** and it is obtained below:

From the given information, the sample size is 75, mean is 56 and the population standard deviation is 20.

** **

**Null Hypothesis: ***H*_{0}: µ=50.

**Alternative Hypothesis: ***H*_{1}: µ>50.

Step 2

b)

** **

**Decision Rule:**

If *p*-value ≤ α, then reject the null hypothesis.

If *p*-value > α, then do not reject the null hypothesis.

The *p*-value for the hypothesis testing is ** 0.0047** and it is obtained below:

Step 3

**Conclusion:**

From the given information, the level of significance is α=0.05

The *p*-value is 0.0047.

Here, the *p*-value is less than the level of significance.

That is, *p*(=0.0047) < α=0.05.

From the rejecti...

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