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

; ¯x=40.49 pounds; s=3.49

pounds

a) Identify the null and alternative hypotheses?

H0:

H1:

b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?

left-tailed

right-tailed

two-tailed

c) Identify the appropriate significance level as a decimal.

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?

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 fail to reject the null hypothesis, since the p-value is less than the significance level.

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.

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.

There is sufficient evidence to 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 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: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 tha 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 th fish in the John H. Kerr Reservoir is greater than 40 pounds. n = 50; a = 40.49 pounds; s = 3.49 pounds a) Identify the null and alternative hypotheses? Ho: Select an answer H1: Select an answer b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? Oleft-tailed Oright-tailed two-tailed c) Identify the appropriate significance level as a decimal. 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. OWe fail to reject the null hypothesis, since the p-value is less than the significance level. OWe 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 There is sufficient evidence to 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 evidence to support the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds.

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 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

; ¯x=40.49 pounds; s=3.49

pounds

a) Identify the null and alternative hypotheses?

H0:

H1:

b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?

left-tailed
right-tailed
two-tailed

c) Identify the appropriate significance level as a decimal.

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?

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 fail to reject the null hypothesis, since the p-value is less than the significance level.
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.

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.
There is sufficient evidence to 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 evidence to support the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds.

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 tha
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 th
fish in the John H. Kerr Reservoir is greater than 40 pounds.
n = 50; a = 40.49 pounds; s = 3.49 pounds
a) Identify the null and alternative hypotheses?
Ho: Select an answer
H1: Select an answer
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
Oleft-tailed
Oright-tailed
two-tailed
c) Identify the appropriate significance level as a decimal.
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.
OWe fail to reject the null hypothesis, since the p-value is less than the significance level.
OWe 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 There is sufficient evidence to 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 evidence to support the claim that the mean weight of the fish in the John H. Kerr
Reservoir is greater than 40 pounds.

Accepted Answer

Answered: Image /qna-images/answer/df8c4269-a35b-44df-b927-a7c131d30739.jpg