Students checked several pairs of jeans to see if the size on the label matched the actual size of the pants. They inspected 6 pairs of jeans that were labeled to have a waist size of 34.0 inches. The average size they measured was 34.42 inches, with a standard deviation of .7 inches. Make 95% confidence interval for the population mean. Group of answer choices 33.685 to 35.154 33.721 to 35.119
Students checked several pairs of jeans to see if the size on the label matched the actual size of the pants. They inspected 6 pairs of jeans that were labeled to have a waist size of 34.0 inches. The average size they measured was 34.42 inches, with a standard deviation of .7 inches.
Make 95% confidence interval for the population mean.
33.685 to 35.154
33.721 to 35.119
33.265 to 34.735
34.420 to 35.119
What conclusion can you make?
The interval contains 34.42. We do not conclude that the pant size is different from the label.
The interval does not contain 34.42. We conclude that the pant size is different from the label.
The interval contains 34. We do not conclude that the pant size is different from the label.
The interval does not contain 34. We conclude that the pant size is different from the label.
If we had made a 99% CI instead of a 95% CI with the same data, how would our interval change?
The 99% CI would be wider than the 95% CI.
The 99% CI would be narrower than the 95% CI.
The 99% CI would correspond to a higher significance level.
The question cannot be answered with the information provided.
Let's say we gathered data from more than 6 pairs of pants (n is not specified, but bigger than 6). The sample coincidentally still has mean 34.42 and sd = 0.7 inches. We make another 95% CI. How would this 95% CI compare to the 95% CI you made based on only 6 pairs of pants?
The new interval would be wider than the interval based on 6 pairs of pants.
The new interval would be narrower than the interval based on 6 pairs of pants.
The question cannot be answered with the information provided.
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