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by a typical American has changed since the original report was published. The researcher collecte from a random sample of 63 Americans and found that the mean amount of ice cream consumed ea by the sample was 27.78 pounds with a standard deviation of 1.92 pounds. Using a significance level of 1%, test the hypothesis that the mean amount of ice cream consumed year by a typical American is different than 27 pounds. Use the p-value method. State the null and alternative hypothesis for this test. Ho:? H₁: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Oleft-tailed right-tailed two-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? should be used

by a typical American has changed since the original report was published. The researcher collecte from a random sample of 63 Americans and found that the mean amount of ice cream consumed ea by the sample was 27.78 pounds with a standard deviation of 1.92 pounds. Using a significance level of 1%, test the hypothesis that the mean amount of ice cream consumed year by a typical American is different than 27 pounds. Use the p-value method. State the null and alternative hypothesis for this test. Ho:? H₁: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Oleft-tailed right-tailed two-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? should be used

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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#29). This is 1 question. Need help with test statistic and p value.
According to a report published by the USDA 3 years ago, a typical American consumes an average of 27 pounds of ice cream per year. A researcher at the USDA would like to determine if the average amount of ice cream consumed each year by a typical American has changed since the original report was published. The researcher collected data from a random sample of 63 Americans and found that the mean amount of ice cream consumed each year by the sample was 27.78 pounds with a standard deviation of 1.92 pounds. Using a significance level of 1%, test the hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 27 pounds. Use the p-value method. State the null and alternative hypothesis for this test. Ho: ? H₁: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Oleft-tailed Oright-tailed O two-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used O The standard normal (2) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to four decimal places. Determine the p-value (range) for the hypothesis test. Op-value < 0.001 O 0.001 < p-value < 0.01 O 0.01 < p-value < 0.02 O 0.02 p-value < 0.05 0.05 p-value < 0.10
Transcribed Image Text:According to a report published by the USDA 3 years ago, a typical American consumes an average of 27 pounds of ice cream per year. A researcher at the USDA would like to determine if the average amount of ice cream consumed each year by a typical American has changed since the original report was published. The researcher collected data from a random sample of 63 Americans and found that the mean amount of ice cream consumed each year by the sample was 27.78 pounds with a standard deviation of 1.92 pounds. Using a significance level of 1%, test the hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 27 pounds. Use the p-value method. State the null and alternative hypothesis for this test. Ho: ? H₁: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Oleft-tailed Oright-tailed O two-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used O The standard normal (2) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to four decimal places. Determine the p-value (range) for the hypothesis test. Op-value < 0.001 O 0.001 < p-value < 0.01 O 0.01 < p-value < 0.02 O 0.02 p-value < 0.05 0.05 p-value < 0.10
Otwo-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used The standard normal (2) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to four decimal places. Determine the p-value (range) for the hypothesis test. Op-value < 0.001 O 0.001 p-value < 0.01 O 0.01 < p-value < 0.02 O 0.02 < p-value < 0.05 O 0.05 < p-value < 0.10 O 0.10 < p-value < 0.20 Op-value > 0.20 Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean amount of ice cream consumed each year by a typical American is 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by a typical American is likely 27 pounds. O The sample data provide sufficient evidence to reject the null hypothesis that the mean amount of ice cream consumed each year by a typical American is 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by a typical American is likely different than 27 pounds. The sample data provide sufficient evidence to reject the alternative hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by the typical American is likely 27 pounds. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by the typical American is likely different than 27 pounds.
Transcribed Image Text:Otwo-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used The standard normal (2) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to four decimal places. Determine the p-value (range) for the hypothesis test. Op-value < 0.001 O 0.001 p-value < 0.01 O 0.01 < p-value < 0.02 O 0.02 < p-value < 0.05 O 0.05 < p-value < 0.10 O 0.10 < p-value < 0.20 Op-value > 0.20 Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean amount of ice cream consumed each year by a typical American is 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by a typical American is likely 27 pounds. O The sample data provide sufficient evidence to reject the null hypothesis that the mean amount of ice cream consumed each year by a typical American is 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by a typical American is likely different than 27 pounds. The sample data provide sufficient evidence to reject the alternative hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by the typical American is likely 27 pounds. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 27 pounds and thus we conclude that the mean amount of ice cream consumed each year by the typical American is likely different than 27 pounds.
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