H0 : μ =60.00 H1 : μ ≠ 60.00 Level of significance: α =0.01 Sample size: n=1,000 Test statistic: z=−2.43 Unknown population standard deviation Standard Normal Distribution Table a. Determine the critical value(s) for the proposed hypothesis test. = ?+ Round to two decimal places if necessary b. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject c. State the decision error type that is possible. Type I Error Type II Error

H0 : μ =60.00 H1 : μ ≠ 60.00 Level of significance: α =0.01 Sample size: n=1,000 Test statistic: z=−2.43 Unknown population standard deviation Standard Normal Distribution Table a. Determine the critical value(s) for the proposed hypothesis test. = ?+ Round to two decimal places if necessary b. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject c. State the decision error type that is possible. Type I Error Type II Error

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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Question

H0 :  μ =60.00
H1 :  μ  ≠ 60.00
Level of significance:  α =0.01
Sample size: n=1,000
Test statistic: z=−2.43
Unknown population standard deviation

Standard Normal Distribution Table

a. Determine the critical value(s) for the proposed hypothesis test.

= ?+

Round to two decimal places if necessary

b. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

c. State the decision error type that is possible.

Type I Error

Type II Error

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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