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A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a me amount spent of $55 and a standard deviation of $52. Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses

A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a me amount spent of $55 and a standard deviation of $52. Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Interpret the meaning of the p-value. Select the correct answer below. A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $4 below $51 if the null hypothesis is false. B. The p-value is the probability of not rejecting the null hypothesis when it is false. OC. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $4 away from $51 if the null hypothesis is true. O D. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $4 above $51 if the null hypothesis is false.
Transcribed Image Text:Interpret the meaning of the p-value. Select the correct answer below. A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $4 below $51 if the null hypothesis is false. B. The p-value is the probability of not rejecting the null hypothesis when it is false. OC. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $4 away from $51 if the null hypothesis is true. O D. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $4 above $51 if the null hypothesis is false.
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $52. Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) Identify the critical value(s). The critical value(s) is/are (Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic, 1STAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. Ho. There is evidence that the population mean spent by membership member customers is different from $51. b. Determine the p-value and interpret its meaning. The p-value is (Type an integer or a decimal. Round to three decimal places as needed.)
Transcribed Image Text:A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $52. Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) Identify the critical value(s). The critical value(s) is/are (Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic, 1STAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. Ho. There is evidence that the population mean spent by membership member customers is different from $51. b. Determine the p-value and interpret its meaning. The p-value is (Type an integer or a decimal. Round to three decimal places as needed.)
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