A quality control technician wanted to construct a confidence interval for the average weight of tablets of a nutritional supplement being produced at a company's manufacturing facility. The technician selected a simple random sample of 1500 tablets, and a 90% confidence interval for the average weight of all tablets was determined to be (3412 mg., 3454 mg.). Which of the following is a correct interpretation of this interval? O We can be 90% confident that 90% of all tablets have weights between 3412 and 3454 milligrams. O We can be 90% confident that the average weight of the tablets in this sample is between 3412 and 3454 milligrams. O 90% of all tablets have weights between 3412 and 3454 milligrams. O We can be 90% confident that the average weight of all tablets is between 3412 and 3454 milligrams.

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A quality control technician wanted to construct a confidence interval for the average weight of
tablets of a nutritional supplement being produced at a company's manufacturing facility. The
technician selected a simple random sample of 1500 tablets, and a 90% confidence interval for the
average weight of all tablets was determined to be (3412 mg., 3454 mg.). Which of the following is a
correct interpretation of this interval?
O We can be 90% confident that 90% of all tablets have weights between 3412 and 3454
milligrams.
O We can be 90% confident that the average weight of the tablets in this sample is between
3412 and 3454 milligrams.
O 90% of all tablets have weights between 3412 and 3454 milligrams.
O We can be 90% confident that the average weight of all tablets is between 3412 and 3454
milligrams.
Transcribed Image Text:A quality control technician wanted to construct a confidence interval for the average weight of tablets of a nutritional supplement being produced at a company's manufacturing facility. The technician selected a simple random sample of 1500 tablets, and a 90% confidence interval for the average weight of all tablets was determined to be (3412 mg., 3454 mg.). Which of the following is a correct interpretation of this interval? O We can be 90% confident that 90% of all tablets have weights between 3412 and 3454 milligrams. O We can be 90% confident that the average weight of the tablets in this sample is between 3412 and 3454 milligrams. O 90% of all tablets have weights between 3412 and 3454 milligrams. O We can be 90% confident that the average weight of all tablets is between 3412 and 3454 milligrams.
Expert Solution
Step 1

Here is given that average weight interval of 1500 students is (3412, 3454).

we know that confidence interval tells us about all the population.

when we find confidence interval then we get information about population mean.

 

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