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.
i need help with (c), sketching the distribution, (d) and (e)
Extracted 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.
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="" "/="">
Extracted 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>