# Test for a single sample but who is unfamiliar with

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test for a single sample but who is unfamiliar with the t test for independent means.
\$17.79 \$17.96 \$16.22 \$23.92 \$15.82 \$15.87 \$15.40 \$16.47 \$15.86 \$15.96 \$11.82 \$16.79 \$15.85 \$16.74 \$21.40 \$20.57 \$19.79 \$14.83 x-bar = \$15.87 \$18.29 s = \$2.33 \$2.55 Data: n1 10 n2 14 x1-bar 15.87 x2-bar 18.29 s1 2.33 s2 2.55 (A) Formulate the hypotheses: Ho: μ1 = μ2 Ha: μ1 ≠ μ2
(B) Decide the test statistic and the level of significance:
(C) State the decision Rule:
(D) Calculate the value of test statistic:
(E) Compare with the critical value and decide: Ho
(F) Calculate the p- value for the test and interpret it:
3. Fry Brothers Heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. Assume the population standard deviation for Larry Clark is 1.05 calls per day, and 1.23 calls per day for George Murnen. A random sample of 40 days last year showed that Larry Clark made an average of 4.77 calls per day. For a sample of 50 days, George Murnen made an average of 5.02 calls per day. At the .05 significance level, is there a difference in the mean number of calls per day between the two