A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using = .05. H0 : 2 50 Ha : 2 > 50 Calculate the value of the test statistic (to 2 decimals).

We conclude that the population standard deviation is greater than 50.

Step-by-step explanation:

We are given that a sample of 16 items provides a sample standard deviation of 9.5.

Let = population standard deviation

So, Null Hypothesis, : 50     {means that the population standard deviation is less than or equal to 50}

Alternate Hypothesis, : > 50      {means that the population standard deviation is greater than 50}

The test statistics that will be used here is One-sample chi-square test statistics;

                        T.S.  =    ~

where, s = sample standard deviation = 9.5

           n = sample of items = 16

So, the test statistics =    ~

                                    =  27.08

The value of chi-square test statistics is 27.08.

Now, at 5% level of significance the chi-square table gives a critical value of 25.00 at 15 degrees of freedom for the right-tailed test.

Since the value of our test statistics is more than the critical value of chi as 27.08 > 25.00, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the population standard deviation is greater than 50.

about 0.75 hours

step-by-step explanation:

answer: group b.

step-by-step explanation: