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 13 blue catfish caught at this reservoir, and a 0.03 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 = 13; ī = 41.28 pounds; 8 = 4.77 pounds Part 1: Identify the null and alternative hypotheses? Ho: p= Vo 40 H1: P> o 40 Part 2 of 5 Part 2: The correct hypotheses that we are testing are • Ho:µ = 40 • H:µ > 40 a) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed right-tailed O two-tailed b) Identify the appropriate significance level. c) Calculate your test statistic. Write the result below, and be sure to round your final answer to three decimal places.

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Chapter10: Statistics
Section10.3: Measures Of Spread
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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 13 blue catfish caught at this reservoir,
and a 0.03 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 = 13; ī = 41.28 pounds; s =
4.77 pounds
Part 1:
Identify the null and alternative hypotheses?
Но:
o 40
H1: u> v
o 40
Part 2 of 5
Part 2:
The correct hypotheses that we are testing are
. Η,: μ 40
H1:µ > 40
a) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
O left-tailed
right-tailed
O two-tailed
b) Identify the appropriate significance level.
c) Calculate your test statistic. Write the result below, and be sure to round your final answer to three
decimal places.
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 13 blue catfish caught at this reservoir, and a 0.03 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 = 13; ī = 41.28 pounds; s = 4.77 pounds Part 1: Identify the null and alternative hypotheses? Но: o 40 H1: u> v o 40 Part 2 of 5 Part 2: The correct hypotheses that we are testing are . Η,: μ 40 H1:µ > 40 a) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed right-tailed O two-tailed b) Identify the appropriate significance level. c) Calculate your test statistic. Write the result below, and be sure to round your final answer to three decimal places.
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