students of the author estimated the length of one minute without reference to a watch or clock, and the times

(seconds) are listed below. Uses a 0.05 significance level to test the claim that these times are from a population with

mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? Assume times

are normally distributed.

69 81 39 65 42 21 60 63 66 48 64 70 96 91 65

a.

State the null and alternative hypotheses.

b.

Use technology to calculate the test statistic and P - Value. [Put the values in L1 (say). Then go to STAT ----

TESTS ----

T-Test ---

Input: select

Data

, and complete the rest]

c.

The test statistic of Z = - 1.94 is obtained when testing the claim that p = 0.375

2.

Students of the author estimated the length of one minute without reference to a watch or clock, and the times

(seconds) are listed below. Uses a 0.05 significance level to test the claim that these times are from a population with

mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? Assume times

are normally distributed.

69 81 39 65 42 21 60 63 66 48 64 70 96 91 65

a.

State the null and alternative hypotheses.

b.

Use technology to calculate the test statistic and P - Value. [Put the values in L1 (say). Then go to STAT ----

TESTS ----T-Test --- Input: select Data, and complete the rest]

c.

Use Critical - Value Method to do the test. Find the critical value and use the Test Statistic you calculated from (b)

d.

Use P -Value Method to do the test. The P - Value you calculated from (b).