Question

Grand Slam ~ An ESPN reporter wants to use statistical inference to determine if the average viewership of Wimbledon finals is more than the French Open finals. He randomly select a sample of 12 Wimbledon finals and 12 French Open finals. The summary statistics are given in the table below in millions of viewers.

Population/Group	Grand Slam Final	Mean number of viewers	Standard deviation
1	Wimbledon	21.47	4.543
2	French Open	20.54	4.191

The ESPN reporter uses an appropriate hypothesis test.

Note: Numbers are randomized in each instance of this question. Pay attention to the numbers given above.

What is the test statistic for this hypothesis test?

Answer 1

Answer:

As per the given problem  ESPN reporter wants to determine the average viewership of Wimbledon finals is more than the French Open finals that is his claim which we taken as alternative hypothesis. He randomly select a sample of 12 Wimbledon finals and 12 French Open finals. Both the sample are independent since we applied t -test for two independent sample.

suppose Wimbledon denotes by Sample 1 having mean   and French open denotes by Sample 2 having mean  .

Now begin the analysis for test statistic:

*since the required of test statistics in step(3) = 0.521

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