Q1. The number of points TEDU basketball team scores against Stanford basketball team is normally distributed. Suppose that over the last 10 games between the two teams TEDU scored the points given below: 74, 59, 62, 61, 70, 62, 66, 62, 75, 59 a) Construct a 95% two-sided confidence interval for the mean of the number of points scored by TEDU. b) The coach of the TEDU team finds out that the variance of the number of points scored is 25. Given this new information, construct a 95% two-sided confidence interval for the mean of the number of points scored by TEDU. c) Compare the confidence intervals found in part (a) and (b). Explain the reason behind the difference. Solve part (d), (e) and (f) given the information on variance in part (b). d) How many previous game points do you have to sample to ensure that the error of the estimate for the mean score would not exceed 30? e) The coach of the TEDU team claims that on the average the point scored against Stanford team is 70. Construct a hypothesis test that can be used to help the coach test his claim. That is, state your null hypothesis and alternative hypothesis in terms of the relevant population parameter. f) Test the hypotheses constructed in part (e) using a significance level of 0.01. State your conclusion also in words.
Q1. The number of points TEDU basketball team scores against Stanford basketball team is
scored the points given below:
74, 59, 62, 61, 70, 62, 66, 62, 75, 59
a) Construct a 95% two-sided confidence interval for the mean of the number
of points scored by TEDU.
b) The coach of the TEDU team finds out that the variance of the number of
points scored is 25. Given this new information, construct a 95% two-sided
confidence interval for the mean of the number of points scored by TEDU.
c) Compare the confidence intervals found in part (a) and (b). Explain the
reason behind the difference.
Solve part (d), (e) and (f) given the information on variance in part (b).
d) How many previous game points do you have to sample to ensure that the
error of the estimate for the mean score would not exceed 30?
e) The coach of the TEDU team claims that on the average the point scored
against Stanford team is 70. Construct a hypothesis test that can be used to help the
coach test his claim. That is, state your null hypothesis and alternative hypothesis in
terms of the relevant population parameter.
f) Test the hypotheses constructed in part (e) using a significance level of
0.01. State your conclusion also in words.
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