In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
Transcribed Image Text:Sketch the sampling distribution and show the area corresponding to the P-value.
b
a
P-value
P-value
d
P-value
P-value
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
(e) State your conclusion in the context of the application.
O Fail to reject the null hypothesis, there is sufficient evidence to claim that the average number of flaked stone tools is higher.
O Fail to reject the null hypothesis, there is insufficient evidence to claim that the average number of flaked stone tools is higher.
O Reject the null hypothesis, there is sufficient evidence to claim that the average number of flaked stone tools is higher.
O Reject the null hypothesis, there is insufficient evidence to claim that the average number of flaked stone tools is higher.
Transcribed Image Text:In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore
produce a slightly more "conservative" answer.
The artifact frequency for an excavation of a kiva in Bandelier National Monument gave the following information.
Stratum
Flaked Stone Tools
Nonflaked Stone Tools
1
9
2
1
3
1
3
5
4
6.
38
32
51
30
8.
25
12
Does this information indicate that there tend to be more flaked stone tools than nonflaked stone tools at this excavation site? Use a 5% 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?
O Ho: H = 0; H,: H> 0; right-tailed
O Ho: Hd = 0; H,: Hg# 0; two-tailed
OHo: Hd> 0; H,: H= 0; right-tailed
O Ho: Hd = 0; H: Hd < 0; left-tailed
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t. We assume that d has an approximately normal distribution.
O The Student's t. We assume that d has an approximately uniform distribution.
O The standard normal. We assume that d has an approximately uniform distribution.
O The standard normal. We assume that d has an approximately normal distribution.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(C) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < Pp-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
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