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. From a sample of 39 blue catfish caught in the reservoir, the sample mean weight and sample standard deviation are determined. Use a .05 significance level and the data below to test the claim that the average weight is greater than 40 pounds. n=39; 40.36 pounds; s=2.55 pounds a) Identify the null and alternative hypotheses? Ho: H₁: 7 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 to two decimal places. t= e) Calculate your p-value. Round to four decimal places. p-value= f) Do you reject the null hypothesis? Owe 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. Owe 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.
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. From a sample of 39 blue catfish caught in the reservoir, the sample mean weight and sample standard deviation are determined. Use a .05 significance level and the data below to test the claim that the average weight is greater than 40 pounds. n=39; 40.36 pounds; s=2.55 pounds a) Identify the null and alternative hypotheses? Ho: H₁: 7 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 to two decimal places. t= e) Calculate your p-value. Round to four decimal places. p-value= f) Do you reject the null hypothesis? Owe 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. Owe 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.
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
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