The following measurements were made in inches, for the inside diameter of steel
ID: 3301009 • Letter: T
Question
The following measurements were made in inches, for the inside diameter of steel pipe to be used to make a Rally Car frame: 0.61, 0.62, 0.61, 0.58, 0.60, 0.61, 0.61, 0.61, 0.40, 0.51. For this sample, which of the following statements are true?
The 95% Confidence Interval of the Mean, for the sampling distribution for n= 10 observations is 0.54 inches to 0.62 inches.
The probability of drawing a .40 from a population with the same mean and standard deviation as this sample is about 0.005
To make the claim in b, you have to assume independence of each measurement.
A only
B only
A, B, & C
A.The 95% Confidence Interval of the Mean, for the sampling distribution for n= 10 observations is 0.54 inches to 0.62 inches.
B.The probability of drawing a .40 from a population with the same mean and standard deviation as this sample is about 0.005
C.To make the claim in b, you have to assume independence of each measurement.
D.A only
E.B only
G.A, B, & C
Explanation / Answer
Since the variance is not known, we need to use the t-distribution.
Here, the mean is 0.576 and the standard deviation is 0.0696. The 95% confidence interval based on t-distribution with 9 df is hence (0.4185,0.7335). Thus, the answer A is wrong.
B. The probability of drawing 0.4 from a normal distribution with sample mean and standard deviation is about 0.005.
C. The assumption of independence of each measurement is not necessary to obtain the probability in B
E. Thus, only B is correct.
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