rovide an appropriate response. 7) A local tennis pro-shop 7) strings tennis rac
ID: 3312239 • Letter: R
Question
rovide an appropriate response. 7) A local tennis pro-shop 7) strings tennis rackets at the tension (pounds per square inch) requested by ackets at the customer. Recently a customer made a claim that the pro-shop consistently strings r lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 6 new rackets at 42 psi. (obtained from a computer printout) is 0.07.Give the proper conclusion for the test. Use a Suppose the two-tailed P-value for the test described above A) Reject H0 and conclude that , the true mean tension of the rackets, equals 42 ps. B) There is sufficient evidence to conclude that u, the true mean tension of the rackets, is less than 42 psi. C There is insufficient evidence to conclude that , the true mean tension of the rackets is less D) Accept Ho and conclude that , the true mean tension of the rackets, equals 42 psi. than 42 psi.Explanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: > 42
Alternative hypothesis: < 42
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
Thus the P-value in this analysis is 0.07
p-value = 0.035(For one tail test)
Interpret results. Since the P-value (0.035) is less than the significance level (0.05), we have to reject the null hypothesis.
(B) There is sufficient evidnce to conclude that u, the true mean tension of the rackets, is less than 42 psi.
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