Experiment 4:Conduct a hypothesis test to test the claim that the time needed for packaging using method 2 is significantly different from 90 seconds.

Method 2

86

90

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86

91

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89

91

1. H_O:
2. H_a:

b.Calculate the test statistic for the fourth experiment:

Click on cell J2.Type =average(D2:D9).This calculates the sample mean of the fourth experiment.Record this value rounded to the three places __________.

Click on cell J3.Type=stdev(D2:D9).This calculates the sample standard deviation of the fourth experiment.Record this value rounded to three places ________.

Next, click on cell J4 and enter the formula =J3/SQRT(COUNT(D2:D9)).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 J5.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 J2.

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 J4.

Record the Test Statistic from cell J5.t = ___________.

1. Calculate the p-value:

Click on the cell J7.Then click Formulas More Functions Statistical T.Dist.2T.A menu called Function Arguments should appear.

oX is the Test Statistic calculated in part b. Enter this value from cell J5. (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 J7:p-value = .

1. 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

1. 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.