Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint. Complete parts (a) through (d).
55 55 7 31 136 31 30 151 2 119
77 76 22 15 10 128 107 111 19 85
91 40 31 30 10 15 6 162 33 37
25 29 22 5 11 10 15 18 10 12
22 58 40 26 33 25 26 24 32 66
The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is days. At the level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 20)?
State the null and alternative hypotheses.
Determine the test statistic.
Find the p-value.
State the conclusion.
b. What assumption about the population distribution is needed in order to conduct the t test in (a)?
Construct a normal probability plot to evaluate the assumption made in (b). Choose the correct graph below.
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