Question 1010299: A garment manufacturing company recorded the amount of time that it took to make a pair of jeans on 8 different occasions. The times in minutes are listed below. Assume these measurements were taken from a population with a normal distribution. It is of interest to know if the sample data suggest that the average time it takes this company to make a pair of jeans is less than 13.5 minutes. 12.5, 13.0, 11.9, 10.2, 13.1, 13.6, 13.8, 14.0 1. State the appropriate hypothese. 2. Compute the test statistic for the hypotheses in Part (1). 3. Does the sample data support the alternative hypothesis at the .10 level of significance? 4. Construct a 95% confidence interval for the mean amount of time it takes this company to make a pair of jeans
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Ho=Takes 13.5 or more minutes.
Ha=takes <13.5 minutes
alpha =0.10
one way t-test with df=7
critical value is t <-1.415
t=(xbar-13.5)/s/sqrt(n)
=12.7625-13.5/(1.2454)/sqrt(7)
t=-1.67; p=0.07
95% CI is (11.72,13.80)
Note that with higher confidence, the critical point of 13.5 is within the confidence interval. This is consistent with a p-value between 0.05-0.10.
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