Follow the steps in Test of Hypothesis (pic) including your conclusion and round off the critical value and test statistic 4 decimal places 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.

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Follow the steps in Test of Hypothesis (pic) including your conclusion and round off the critical value and test statistic 4 decimal places 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.
A certain printing press is known to turn out an average of
45 copies a minute. In an attempt to increase its output,
an alteration is made to the machine, and then in 3 short
test runs it turns out 46, 47, and 48 copies a minute. Is
this increase statically significant, or is it likely to be
simply the result of chance of variation? Use a significance
level of 0.05
Transcribed Image Text:A certain printing press is known to turn out an average of 45 copies a minute. In an attempt to increase its output, an alteration is made to the machine, and then in 3 short test runs it turns out 46, 47, and 48 copies a minute. Is this increase statically significant, or is it likely to be simply the result of chance of variation? Use a significance level of 0.05
1.
Ho u = 45, there is no increase in copies
> 45, there is an increase in copies
H,
2.
a = 0.05
3.
One tailed test
4.
Critical region t = +2.92, df = 2
5.
Test Statistic
47-45
T =
= 3.47
www.com
1 √3
6.
Decision: Reject Ho
7.
Conclusion: The increase in copies in our samples is statistically
significant. It is not the result of chance of variation.
Transcribed Image Text:1. Ho u = 45, there is no increase in copies > 45, there is an increase in copies H, 2. a = 0.05 3. One tailed test 4. Critical region t = +2.92, df = 2 5. Test Statistic 47-45 T = = 3.47 www.com 1 √3 6. Decision: Reject Ho 7. Conclusion: The increase in copies in our samples is statistically significant. It is not the result of chance of variation.
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