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 sland 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 44 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 = 44; = 40.76 pounds; s = 5.12 pounds a) Identify the null and alternative hypotheses? Ho: H.:? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Ornight-tailed O two-tailed c) identify the appropriate significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Question
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 44 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 Jlohn H. Kerr Reservoir is greater than 40 pounds,
n = 44; = 40.76 pounds; s = 5.12 pounds
a) Identify the null and alternative hypotheses?
Ho:
H.:? v
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
O left-tailed
Oright-tailed
O two-tailed
c) Identify the appropriate significance level.
d) Calculate your test statistic. (Round your final answer to two decimal places.)
e) Calculate your p-value. (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.
OWe reject the null hypothesis, since the p-value is not less than the significance level.
O We do not reject the null hypothesis, since the p-value is less than the significance level.
O We do not 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.
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.
The sample data support the claim that the mean weight
greater than 40 pounds.
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.
the fish in the John H. Kerr Reservoir is
Transcribed Image Text: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 44 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 Jlohn H. Kerr Reservoir is greater than 40 pounds, n = 44; = 40.76 pounds; s = 5.12 pounds a) Identify the null and alternative hypotheses? Ho: H.:? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. (Round your final answer to two decimal places.) e) Calculate your p-value. (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. OWe reject the null hypothesis, since the p-value is not less than the significance level. O We do not reject the null hypothesis, since the p-value is less than the significance level. O We do not 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. 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. The sample data support the claim that the mean weight greater than 40 pounds. 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. the fish in the John H. Kerr Reservoir is
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL