According to the United States Census Bureau, the average single-family home constructed in 2016 was 2,438 square feet. Carmen wondered if families in her area still want a smaller home in comparison to the average. She randomly selected 42 people and asked what the ideal square footage of a home is for them. From the responses, she calculated the sample mean equals 1,350 square feet with a sample standard deviation of 44 square feet. Calculate the value of the test statistic.Multiple Choice Options:1. −159.122. 160.113. −160.254. 159.12Explanation:This problem is asking you to calculate the test statistic for the sample data provided. The options suggest different possible values for the test statistic. To find the correct value, you would typically use the formula for the test statistic in a one-sample t-test, which is:\[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \]where:- $\bar{x}$ is the sample mean (1,350),- $\mu$ is the population mean (2,438),- $s$ is the sample standard deviation (44),- $n$ is the sample size (42).Plug in the values to calculate the test statistic.

Answered: According to the United States Census…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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