Note:Please see attachment for more clarification
TQES2
Question 1
You want to use t-test to check if Serena Williams’ average first-serve speed is equal to 161.0 km/hour. You’ve decided to find the following:
a. What is your estimate for the standard deviation of A?
b. For the t-test you know that the distribution of the test statistic should be t-distribution with 19 degrees of freedom. The observed value of the test statistic is -1.95. How would you find the
p-value?
c. How would you find the 95% confidence interval using the numbers you have?
d. You have constructed a 93 % CI and 80 % CI. Which one is wider?
Question 2
You’ve discovered a new cold remedy that removes all symptoms in 15 minutes. To verify the findings, you conducted a sequence of randomized trials, which provided you with the following data.
a. If the drug works as well as placebo, what is the probability to obtain the given table?
b. How many such tables are possible?
c. Find the p-value in the Fisher’s test.
d. What is the null hypothesis for this test?
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TQES2 Question 1 You want to use t-test to check if Serena Williams’ average first-serve speed is equal to 161.0 km/hour. You’ve decided to find the following: a. What is your estimate for the standard deviation of A? b. For the t-test you know that the distribution of the test statistic should be t-distribution with 19 degrees of freedom. The observed value of the test statistic is -1.95. How would you find the p-value? c. How would you find the 95% confidence interval using the numbers you have? d. You have constructed a 93 % CI and 80 % CI. Which one is wider? Question 2 You’ve discovered a new cold remedy that removes all symptoms in 15 minutes. To verify the findings, you conducted a sequence of randomized trials, which provided you with the following data. a. If the drug works as well as placebo, what is the probability to obtain the given table? b. How many such tables are possible? c. Find the p-value in the Fisher’s test. d. What is the null hypothesis for this test?