Answered: Follow the steps in Test of Hypothesis…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3BGP

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Question

(Follow the steps in Test of Hypothesis and include your conclusion)

Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measures in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x₁ = 290 and s₁ = 12 while another random sample of 16 gears from the second supplier results in x₂ = 321 and s₂ = 22.

Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength. Use a =0.04, and assume that both populations are normally distributed with equal variances.

CLAIM: (state the claim of the problem)
1. H, : H1 - H2 = 0 , (describe Ho)there's no significant difference
H, : H1 - H2 < 0, (describe H,)there's a significant difference
Level Of significance:
Туре of Test:
Critical Value(s)
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Test Statistic
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Decision:
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Conclusion:

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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