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Use the following information to answer Questions 1 and 2 In order to estimate the time...

Use the following information to answer Questions 1 and 2

In order to estimate the time taken by students to solve a problem in a particular statistics class, the teacher observes, randomly, the time taken by 5 students. The mean and standard deviation of the sample are 12.2 minutes and 2.7 minutes. Assume that the times are normally distributed.

1)Find the number tα/2 needed in construction of a 95% confidence interval.

a. 2.015

b. 2.132

c. 2.571

d. 2.576

e. 2.776

2) Construct the 95% confidence interval for the mean time taken by all the students in this statistics class.

a. [8.85, 15.55]

b. [9.09, 15.31]

c. [9.10, 15.30]

d .[9.63, 14.77]

e .[9.77, 14.63]

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