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 42 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 = 42; a = 40.51 pounds; s = 2.99 pounds a) Identify the null and alternative hypotheses? Но: ? На: ?

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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 42 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 = 42; a = 40.51 pounds; s = 2.99 pounds
a) Identify the null and alternative hypotheses?
Но: ?
На: ?
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 42 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 = 42; a = 40.51 pounds; s = 2.99 pounds a) Identify the null and alternative hypotheses? Но: ? На: ?
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?
We reject the null hypothesis, since the p-value is
less than the significance level.
We reject the null hypothesis, since the p-value is
not less than the significance level.
We do not reject the null hypothesis, since the p-
value is less than the significance level.
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.
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 of the fish in the John H. Kerr Reservoir is
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.
Transcribed Image Text: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? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We do not reject the null hypothesis, since the p- value is less than the significance level. 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. 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 of the fish in the John H. Kerr Reservoir is 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.
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