Answered: Consider the test of hypothesis H0:…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Consider the test of hypothesis H0: mu=1150 against the alternative Ha: mu > 1150. Suppose n = 100 samples X₁, ... , X_n were selected from a normal distribution with mean mu and variance 900. Determine the rejection region for this test at the level of significance alpha=0.025

Let T = (bar{X} - 1150) / (30/sqrt{n} )

where

bar{X} = (X₁, ... , X_n)/n is the sample mean

sqrt{n} is the square root of n.

Answer choice

A. T > -1.645

B. T < -1.96

C. T > 1.96

D. T < -1.645

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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