### Investigating Customer Spending with and without a SaleA sales manager for a large department store believes that customer spending per visit with a sale is lower than customer spending without a sale and would like to test that claim. A simple random sample of customer spending is taken from without a sale and with a sale. The results are shown below.#### Statistical Summary:| Statistic Description | Without Sale | With Sale ||-------------------------------------------------|--------------|-----------|| Mean | 82.904 | 71.316 || Variance | 1984.96 | 1826.41 || Observations | 200 | 150 || Hypothesized Mean Difference | 0 | || Degrees of Freedom (df) | 328 | || t Stat | -2.465 | || P(T <= t) one-tail | 0.0071 | || t Critical one-tail | -1.65 | || P(T <= t) two-tail | 0.0142 | || t Critical two-tail | -1.967 | || Confidence Level | 99% | |#### Explanation of the Data:- **Mean**: Average customer spending.- **Variance**: Measure of the spread between numbers in the data set.- **Observations**: Number of customers sampled.- **Hypothesized Mean Difference**: The expected difference in means under the null hypothesis.- **Degrees of Freedom (df)**: The number of independent values that can vary in the calculation.- **t Stat**: The calculated t-statistic value.- **P(T <= t) one-tail**: The p-value for the one-tail hypothesis.- **t Critical one-tail**: The threshold t-value for a one-tail test at the 99% confidence level.- **P(T <= t) two-tail**: The p-value for the two-tail hypothesis.- **t Critical two-tail**: The threshold t-value for a two-tail test at the 99% confidence level.#### Graphical Representation:- The graph displayed is a standard normal distribution curve with labeled t-score axis ranging from -3 to 3.- The p-value (probability value) and the t-value (t-statistic) are to be inserted into separate fields indicated next

A sales manager for a large department store believes that customer spending per visit with a sale is lower than customer spending without a sale, and would like to test that claim. A simple random sample of customer spen taken from without a sale and with a sale. The results are shown below. Without sale With sale

A sales manager for a large department store believes that customer spending per visit with a sale is lower than customer spending without a sale, and would like to test that claim. A simple random sample of customer spen taken from without a sale and with a sale. The results are shown below. Without sale With sale

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 20PFA

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