In this problem, assume that the distribution of differences is approximately no

Question

In this problem, assume that the distribution of differences is approximately normal. The artifact frequency for an excavation of a kiva in Bandelier National Monument gave the following information. Does this information indicate that there tend to be more flaked stone tools than nonflaked stone tools at this excavation site? Use a 10% level of significance. (Let d = flaked - nonflaked.) (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that d has an approximately uniform distribution. The Student's t. We assume that d has an approximately normal distribution. The standard normal. We assume that d has an approximately normal distribution. The standard normal. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Explanation / Answer

From the given data

Descriptive Statistics: Difference

Total Sum of
Variable Count Mean SE Mean StDev Variance Sum Squares
Difference 8 5.00 3.07 8.68 75.43 40.00 728.00

Test statistic

t = d-bar / (sd / sqrt(n)) = 5 / (8.68 /sqrt(8)) = 1.6283

P-Value: 0.0737

Here P-value < alpha 0.10, So we reject H0

Thus we conclude that The difference of means is greater than 0

   

Flaked Nonflaked Difference 2 3 -1 4 6 -2 9 1 8 1 3 -2 4 7 -3 38 32 6 51 30 21 25 12 13

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