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(sample mean) = 290 and s, = 12 while another random sample of 16 gears from the second supplier results in x2(sample mean) = 321 and s2 = 22. Construct a 96% confidence interval and assume that both populations are normally distributed with equal variances. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Explain your answer

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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(sample mean) = 290 and s, = 12 while another
random sample of 16 gears from the second supplier results in x2(sample mean) = 321 and s2 = 22.
Construct a 96% confidence interval and assume that both populations are normally distributed with equal variances.
Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Explain your answer
Transcribed Image Text: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(sample mean) = 290 and s, = 12 while another random sample of 16 gears from the second supplier results in x2(sample mean) = 321 and s2 = 22. Construct a 96% confidence interval and assume that both populations are normally distributed with equal variances. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Explain your answer
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