est each of the following by performing the steps in hypothesis testing. 1. JR Carpetech, Inc claims that the average cost of carpet installation and repairs is P8,760. A sample of 50 repairs has an average of P8,600. The standard deviation of the sample is P300. At a = 0.05, is there enough evidence to reject the company’s claim? 2. Esther Grey, the manager of EG Manufacturing Company believes that the average daily wages of the employees is below P400. A sample of 22 employees has a mean daily wage of P385. The standard deviation of all the salary is P40. Assume the variable is normally distributed. At a = 0.01, is there enough evidence to support the manager’s claim?

est each of the following by performing the steps in hypothesis testing. 1. JR Carpetech, Inc claims that the average cost of carpet installation and repairs is P8,760. A sample of 50 repairs has an average of P8,600. The standard deviation of the sample is P300. At a = 0.05, is there enough evidence to reject the company’s claim? 2. Esther Grey, the manager of EG Manufacturing Company believes that the average daily wages of the employees is below P400. A sample of 22 employees has a mean daily wage of P385. The standard deviation of all the salary is P40. Assume the variable is normally distributed. At a = 0.01, is there enough evidence to support the manager’s claim?

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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Question

Test each of the following by performing the steps in hypothesis testing.

1. JR Carpetech, Inc claims that the average cost of carpet installation and repairs is P8,760. A sample of 50 repairs has an average of P8,600. The standard deviation of the sample is P300. At a = 0.05, is there enough evidence to reject the company’s claim?

2. Esther Grey, the manager of EG Manufacturing Company believes that the average daily wages of the employees is below P400. A sample of 22 employees has a mean daily wage of P385. The standard deviation of all the salary is P40. Assume the variable is normally distributed. At a = 0.01, is there enough evidence to support the manager’s claim?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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