The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n = 50; 40.35 pounds; 8= 2.8 pounds %3D a) Identify the null and alternative hypotheses? Но: (2 H1: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two
decimal places.
e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal
places.
f) Do you reject the null hypothesis?
O We reject the null hypothesis, since the p-value is less than the significance level.
O We reject the null hypothesis, since the p-value is not less than the significance level.
O we fail to reject the null hypothesis, since the p-value is less than the significance level.
O We fail to reject the null hypothesis, since the p-value is not less than the significance level.
g) Select the statement below that best represents the conclusion that can be made.
O There is sufficient evidence to warrant rejection of the claim that the mean weight of the fish in the
John H. Kerr Reservoir is greater than 40 pounds.
O There is not sufficient evidence to warrant rejection of the claim that the mean weight of the fish in
the John H. Kerr Reservoir is greater than 40 pounds.
O The sample data support the claim that the mean weight of the fish in the John H. Kerr Reservoir is
greater than 40 pounds.
O There is not sufficient sample evidence to support the claim that the mean weight of the fish in the
John H. Kerr Reservoir is greater than 40 pounds.
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Transcribed Image Text:d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis, since the p-value is not less than the significance level. O we fail to reject the null hypothesis, since the p-value is less than the significance level. O We fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. O There is sufficient evidence to warrant rejection of the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. O There is not sufficient evidence to warrant rejection of the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. O The sample data support the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. O There is not sufficient sample evidence to support the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. Question Help: Video D Post to forum Submit Question
6979687#/Skip//
The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world
record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in
Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40
pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that
the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which
represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level
to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds.
n = 50; = 40.35 pounds; 8 = 2.8 pounds
a) Identify the null and alternative hypotheses?
Ho: ? v
H1: ? v
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
O left-tailed
O right-tailed
O two-tailed
c) Identify the appropriate significance level.
d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two
decimal places.
e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal
places.
f) Do you reject the null hypothesis?
O We reject the null hypothesis, since the p-value is less than the significance level.
O We reject the null hypothesis, since the p-value is not less than the significance level.
O We fail to reject the null hypothesis, since the p-value is less than the significance level.
O We fail to reject the null hypothesis, since the p-value is not less than the significance level.
Transcribed Image Text:6979687#/Skip// The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n = 50; = 40.35 pounds; 8 = 2.8 pounds a) Identify the null and alternative hypotheses? Ho: ? v H1: ? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis, since the p-value is not less than the significance level. O We fail to reject the null hypothesis, since the p-value is less than the significance level. O We fail to reject the null hypothesis, since the p-value is not less than the significance level.
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