Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below Population12Sample Size4957Sample Mean10 28 3Sample Variance9 7815 42 A 90 confidence interval for 1 2 is0 77to3 03and a 99 confidence interval for 1 2 is0 13to3 67 Use these confidence intervals to answer the questions Can you conclude with 99 confidence that there is a difference in the means for the two populations Yes The value 1 2 0is not in the interval which suggests that there is likely a difference between 1 and 2 Yes The value 1 2 0is in the interval which suggests that there is likely a difference between 1 and 2 No The value 1 2 0is in the interval which does not suggest that there is a difference between 1 and 2 No The value 1 2 0is not in the interval which does not suggest that there is a difference between 1 and 2 Can you conclude with 99 confidence that there is a difference in the means for the two populations Yes The value 1 2 0is not in the interval which suggests that there is likely a difference between 1 and 2 Yes The value 1 2 0is in the interval which suggests that there is likely a difference between 1 and 2 No The value 1 2 0is in the interval which does not suggest that there is a difference between 1 and 2 No The value 1 2 0is not in the interval which does not suggest that there is a difference between 1 and 2

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Question: Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population12Sample Size4957Sample Mean10.28.3Sample Variance9.7815.42 A 90% confidence interval

Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.

Population12Sample Size4957Sample Mean10.28.3Sample Variance9.7815.42

A 90% confidence interval for₁₂is0.77to3.03and a 99% confidence interval for₁₂is0.13to3.67. Use these confidence intervals to answer the questions.

Can you conclude with 99% confidence that there is a difference in the means for the two populations?

Yes. The value₁₂= 0is not in the interval which suggests that there is likely a difference between₁and₂.
Yes. The value₁₂= 0is in the interval which suggests that there is likely a difference between₁and₂.
No. The value₁₂= 0is in the interval which does not suggest that there is a difference between₁and₂.
No. The value₁₂= 0is not in the interval which does not suggest that there is a difference between₁and₂.

Can you conclude with 99% confidence that there is a difference in the means for the two populations?

Yes. The value₁₂= 0is not in the interval which suggests that there is likely a difference between₁and₂.
Yes. The value₁₂= 0is in the interval which suggests that there is likely a difference between₁and₂.
No. The value₁₂= 0is in the interval which does not suggest that there is a difference between₁and₂.
No. The value₁₂= 0is not in the interval which does not suggest that there is a difference between₁and₂.

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