Answered: Use technology to help you test the…

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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Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed.

Claim: μ>1300; α=0.05; σ=213.28. Sample statistics: x=1327.37, n=250

Part 1

Identify the null and alternative hypotheses. Choose the correct answer below.

A.) H0: μ>1327.37

Ha: μ≤1327.37

B.) H0: μ≥1300

Ha: μ<1300

C.) H0: μ≤1300

Ha: μ>1300

D.) H0: μ≤1327.37

Ha: μ>1327.37

E.) H0: μ≥1327.37

Ha: μ<1327.37

F.) H0: μ>1300

Ha:μ≤ 1300

Calculate the standardized test statistic.

The standardized test statistic is ____

Determine the P-value.

P=_____

Determine the outcome and conclusion of the test.

___ H0. At the 8% significance level, the ____ enough evidence to ____ the 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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