Use the p-value method to make all of your conclusions on Experiment #3 and #4.

Two random samples (n=8) are selected from each of two packaging methods and the times for completion are given in the table below.

Method 1

70

83

86

78

92

81

72

78

Experiment 3:Conduct a hypothesis test to test the claim that the time needed for packaging using method 1 is significantly different from 90 seconds.

H_O: = 90

H_a: 90

Calculate the test statistic for the third experiment:

Click on cell I2.Type =average(C2:C9).This calculates the sample mean of the third experiment.Record this value rounded to the three places = _________.

Click on cell I3.Type=stdev(C2:C9).This calculates the sample standard deviation of the third experiment.Record this value rounded to three places = _________.

Next, click on cell I4 and enter the formula =I3/SQRT(COUNT(C2:C9)).This value is the standard deviation of the sample means (this is called the standard error of the mean), and can be calculated by hand using formula . Record this value rounded to three places = ______.

Click on the cell I5.Then click Formulas More Functions Statistical Standardize.A menu called Function Arguments should appear.

oX is the value you want to standardize.This is the sample mean.Enter I2.

oMean is the mean of the sampling distribution.This is the hypothesized mean from your hypotheses in part a.

oStandard deviation is the standard deviation of the sample means (standard error).Enter I4.

Record the Test Statistic from cell I5.t = _________.

Calculate the p-value:

Click on the cell I7.Then click Formulas More Functions Statistical T.Dist.2T.This function is calculating the p-value for a two-tailed t-test.A menu called Function Arguments should appear.

oX is the Test Statistic calculated in part b. Enter this value from cell I5. (Note:If the test statistic is negative, change the sign to a positive when entering the test statistic for X).

oDeg_freedom is the degrees of freedom.Recall df = n-1.

Record the p-value from cell I7:p-value = .

Use the p-value and a .20 level of significance to determine if you should reject or not reject the null hypothesis.Hint:Reject H_o only if p

answer:______________

Use the p-value and a .02 level of significance to determine if you should reject or fail to reject the null hypothesis. Interpret in context.

answer:______________