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Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row 8 represent per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April. B: Shore A: Boat USE SALT Oct Nov Dec Jan Feb March 1.4 1.8 2.0 3.2 3.9 3.6 1.4 1.3 1.6 2.2 3.3 3.0 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d-B-A.) (a) What is the level of significance? April 3.3 3.8 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H0; H₁: Hg 0; two-tailed O Ho: Hd=0; H₁: Hg < 0; left-tailed O Ho Hd=0; H₁: >0; right-tailed O Ho: H0; H₁: Hg = 0; two-tailed (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. OP-value> 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010

Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row 8 represent per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April. B: Shore A: Boat USE SALT Oct Nov Dec Jan Feb March 1.4 1.8 2.0 3.2 3.9 3.6 1.4 1.3 1.6 2.2 3.3 3.0 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d-B-A.) (a) What is the level of significance? April 3.3 3.8 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H0; H₁: Hg 0; two-tailed O Ho: Hd=0; H₁: Hg < 0; left-tailed O Ho Hd=0; H₁: >0; right-tailed O Ho: H0; H₁: Hg = 0; two-tailed (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. OP-value> 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the 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 O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. level a? (e) State your conclusion in the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing. O Reject the null hypothesis, there is insufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing. O Reject the null hypothesis, there is sufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing. O Fail to reject the null hypothesis, there is sufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing.
Transcribed Image Text:O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the 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 O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. level a? (e) State your conclusion in the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing. O Reject the null hypothesis, there is insufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing. O Reject the null hypothesis, there is sufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing. O Fail to reject the null hypothesis, there is sufficient evidence to claim a difference in population mean hours per fish between boat fishing and shore fishing.
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. Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours. per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April. B: Shore A: Boat USE SALT Oct Nov Dec Jan Feb 1.4 1.8 2.0 3.2 3.9 1.4 1.3 1.6 2.2 3.3 March 3.6 3.0 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d = B - A.) (a) What is the level of significance? April 3.3 3.8 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho Hd=0; H₁: H0; two-tailed O Ho: Hd=0; H₁: Hg < 0; left-tailed O Ho: Hg = 0; H₁: >0; right-tailed O Ho: H0; H₁: Hg = 0; two-tailed (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approximately uniform distribution. (c) Find (or estimate) the P-value. OP-value> 0.500 O 0.250 < P-value < 0.500 What is the value of the sample test statistic? (Round your answer to three decimal places.) O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 OP-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value.
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. Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours. per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April. B: Shore A: Boat USE SALT Oct Nov Dec Jan Feb 1.4 1.8 2.0 3.2 3.9 1.4 1.3 1.6 2.2 3.3 March 3.6 3.0 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d = B - A.) (a) What is the level of significance? April 3.3 3.8 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho Hd=0; H₁: H0; two-tailed O Ho: Hd=0; H₁: Hg < 0; left-tailed O Ho: Hg = 0; H₁: >0; right-tailed O Ho: H0; H₁: Hg = 0; two-tailed (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approximately uniform distribution. (c) Find (or estimate) the P-value. OP-value> 0.500 O 0.250 < P-value < 0.500 What is the value of the sample test statistic? (Round your answer to three decimal places.) O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 OP-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value.
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