A marketing researcher wants to estimate the mean amount spent per year (5) on a web site by membership member shoppers. Suppose a random sample of 130 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $54. Complete parts (a) and (D) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is diferent from S497 (Use a 0.05 level of significance.) State the null and alternative hypotheses. H, (Type integers or decimals. Do not round. Do not include the S symbol in your answer.) Identify the critical value(s). The critical value(s) islare (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, tyTAT. isO (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. H. There is evidence that the population mean spent by membership member customers is dferent from S49. b. Determine the p-value and interpret its meaning The p-value isO (Type an integer or a decimal. Round to three decimal places as needed) Interpret the meaning of the p-value. Select the correct answer below. OA. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 away from S49 ir the null hypothesis is true. OB. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 below S49 the null hypothesis is false O. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 above S49 he null hypothesis is false. OD. The p-value is the probability of not rejecting the null hypothesis when it is false.
A marketing researcher wants to estimate the mean amount spent per year (5) on a web site by membership member shoppers. Suppose a random sample of 130 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $54. Complete parts (a) and (D) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is diferent from S497 (Use a 0.05 level of significance.) State the null and alternative hypotheses. H, (Type integers or decimals. Do not round. Do not include the S symbol in your answer.) Identify the critical value(s). The critical value(s) islare (Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic The test statistic, tyTAT. isO (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. H. There is evidence that the population mean spent by membership member customers is dferent from S49. b. Determine the p-value and interpret its meaning The p-value isO (Type an integer or a decimal. Round to three decimal places as needed) Interpret the meaning of the p-value. Select the correct answer below. OA. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 away from S49 ir the null hypothesis is true. OB. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 below S49 the null hypothesis is false O. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than S6 above S49 he null hypothesis is false. OD. The p-value is the probability of not rejecting the null hypothesis when it is false.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 130 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $54. 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 $49? (Use a 0.05 level of significance.)
State the null and alternative hypotheses.
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, teTAT, is
(Type an integer or a decimal. Round to two decimal places as needed.)
State the conclusion.
Hn. There is
V evidence that the population mean spent by membership member customers is different from $49.
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.)
Interpret the meaning of the p-value. Select the correct answer below.
O A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $6 away from $49 if the null hypothesis is true.
O B. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $6 below $49 if the null hypothesis is false.
O C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than $6 above $49 if the null hypothesis is false.
O D. The p-value is the probability of not rejecting the null hypothesis when it is false.
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