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Suppose that a 90% confidence interval for a population mean is given to be from

ID: 3134575 • Letter: S

Question

Suppose that a 90% confidence interval for a population mean is given to be from 550 to 650. The 90% value in this statement indicates that: (choose the one best answer) A. P ( 550 < < 650 ) = 0.90 B. There is a 10% chance that falls between 550 and 650. C. When the statistical techniques in this unit are applied to build a 90% confidence interval around the mean of any randomly collected sample, we can only expect 90% of such calculated intervals to contain the true value of . D. There is only a 10% chance that the collected sample mean will be between 550 and 650. Suppose that a 90% confidence interval for a population mean is constructed from a sample, resulting in the interval from 250 to 550. What was the value of the sample mean that was collected? What was the size of the margin of error? A sample of size n = 50 is taken. What is the appropriate critical t-value for each of the following confidence levels? (a) 95% confidence level: (b) 98% confidence level: Suppose that a 90% confidence interval for a population mean is given to be from 550 to 650. The 90% value in this statement indicates that: (choose the one best answer) A. P ( 550 < < 650 ) = 0.90 B. There is a 10% chance that falls between 550 and 650. C. When the statistical techniques in this unit are applied to build a 90% confidence interval around the mean of any randomly collected sample, we can only expect 90% of such calculated intervals to contain the true value of . D. There is only a 10% chance that the collected sample mean will be between 550 and 650. Suppose that a 90% confidence interval for a population mean is constructed from a sample, resulting in the interval from 250 to 550. What was the value of the sample mean that was collected? What was the size of the margin of error? A sample of size n = 50 is taken. What is the appropriate critical t-value for each of the following confidence levels? (a) 95% confidence level: (b) 98% confidence level:

Explanation / Answer

One can be 90% confident that true population will hold a men value between 550 and 650. Option C.

Value of sample mean is 250 as formula says Xbar+-zME.

Margin of error is half the width of C.i.=300/2=150

90% c.i. critical t is 1.68 (df=49)

98% c.i. critical t is 2.68 (df=49)

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