39. Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses. Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action? -41, 76, -25, -70, -44, 11, 16, 51,-8, -51, 109, 109 (1) equal to less than between greater than should not should (2) reject fail to reject insufficient (4) sufficient What are the null and alternative hypotheses? OA. Ho: a =32.2 ft H₁: o <32.2 ft OC. Ho: o> 32.2 ft H₁: G = 32.2 ft O E. Ho: #32.2 ft H₁: a = 32.2 ft O B. Find the test statistic. x² = (Round to two decimal places as needed.) Determine the critical value(s). The variation appears to be (4). method appears to be (5). O D. Ho: a =32.2 ft H₁: o #32.2 ft greater about the same O less Ho: a =32.2 ft H₁: o>32.2 ft OF. Ho: 32.2 ft H₁: o = 32.2 ft The critical value(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Since the test statistic is (1). (2) Ho. There is (3). evidence to support the claim that the new production method has errors with a standard deviation greater than 32.2 ft. (5) similar (6) better worse the critical value(s), than in the past, so the new , because there will be altimeters that have errors. Therefore, the company take immediate action to reduce the variation. fewer the same number of O more

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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Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses.

Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action?

−41, 76, −25, −70, −44, 11, 16, 51, −8,−51, −109, −109

39. Test the given claim. Assume that a simple random sample is selected from a
normally distributed population. Use either the P-value method or the traditional
method of testing hypotheses.
Company A uses a new production method to manufacture aircraft altimeters. A
simple random sample of new altimeters resulted in errors listed below. Use a
0.05 level of significance to test the claim that the new production method has
errors with a standard deviation greater than 32.2 ft, which was the standard
deviation for the old production method. If it appears that the standard deviation
is greater, does the new production method appear to be better or worse than the
old method? Should the company take any action?
-41, 76, -25, -70, -44, 11, 16, 51,-8, -51, 109, 109
(1)
equal to
less than
between
greater than
should not
should
(2)
reject
fail to reject
insufficient (4)
sufficient
What are the null and alternative hypotheses?
OA. Ho: a =32.2 ft
H₁: o <32.2 ft
OC. Ho: > 32.2 ft
H₁: G = 32.2 ft
O E. Ho: #32.2 ft
H₁: o = 32.2 ft
O B.
Find the test statistic.
x² =
(Round to two decimal places as needed.)
Determine the critical value(s).
The variation appears to be (4).
method appears to be (5).
O D. Ho: a =32.2 ft
H₁: &#32.2 ft
greater
about the same
O less
Ho: a =32.2 ft
H₁: o>32.2 ft
OF. Ho: 32.2 ft
H₁: o = 32.2 ft
The critical value(s) is/are
(Use a comma to separate answers as needed. Round to two decimal places
as needed.)
Since the test statistic is (1).
(2)
Ho. There is (3).
evidence to support the
claim that the new production method has errors with a standard deviation greater
than 32.2 ft.
(5) similar (6)
better
worse
the critical value(s),
than in the past, so the new
, because there will be
altimeters that have errors. Therefore, the company
take immediate action to reduce the variation.
fewer
the same number of
O more

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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