In volleyball, a libero is a defensive specialist who can substitute for any bac
ID: 3230487 • Letter: I
Question
In volleyball, a libero is a defensive specialist who can substitute for any back-row player but cannot attack or block the ball when it is above the net. Because of this restriction, liberos are often some of the shortest players on a team. Suppose that Jasmine wants to play volleyball in college but is worried she is too short to be seriously considered. She read online that the average libero on a college team is 67 inches tall, but she suspects that this is too low. Jasmine selects a random sample of 15 liberos on college volleyball teams. Their heights, in inches, are listed below. Assume that the height of all female liberos on college volleyball teams is normally distributed.
69,70,66,67,69,68,68,64,69,67,68,69,68,67,65
Jasmine decides to use a righttailed onesample ttest to determine whether the average height of liberos on college volleyball teams is greater than 67 in.
Have the requirements for a onesample ttest been met? If they have not been met, leave the remaining questions blank.
No, Jasmine selected a normally distributed random sample, but she does not know the population standard deviation. No, Jasmine selected a random sample from a normally distributed population, but her sample is too small. Yes, Jasmine selected a random sample from a normally distributed population, and her sample contains no outliers. Yes, Jasmine selected a random sample that is normally distributed and contains no outliers.
Choose the appropriate null and alternative hypotheses for this test.
Calculate the value of the one-sample tstatistic. Give your answer precise to three decimal places.
Use a tdistribution table such as this one to find a range of possible pvalues for this test.
Complete the conclusion of this test. Use a significance level of =0.05 Jasmine should_____ her null hypothesis. There is_________ evidence that the mean height of liberos on college volleyball teams is______ 67in.
Explanation / Answer
Yes, Jasmine selected a random sample from a normally distributed population, and her sample contains no outliers
null hypothesis: mean<=67
alternate hypothesis: mean>67
Jasmine should not reject her null hypothesis. There is insufficient evidence that the mean height of liberos on college volleyball teams is greater then 67 in
X 69 70 66 67 69 68 68 64 69 67 68 69 68 67 65 mean(X) 67.600 std deviation(S) 1.639 std error =S/(n)1/2 0.4231 t=(X-mean)/std error 1.4180 p value 0.0890Related Questions
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