20 points the number of houms of overlime worked in a wcek by random sample 0f 5 employees given

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Question

The number of hours of overtime worked in a week by a random sample of 5 employees is given below: Use these data to calculate a 95% confidence interval for the mean number of hours of overtime worked in a week. Suppose the bacteria count per milliliter of raw milk has a mean of 25 and a standard deviation of 3. If 46 samples of raw milk are randomly chosen, what is the probability that the mean bacteria count will be greater than 25807? A company wishes to estimate the mean monthly electric bill, with a standard deviation of $100. How large of a sample is required to estimate the mean electric bill to within $60 with 90% confidence? A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 15 ounces, the company wants the packages to contain a mean of 8.17 ounces, with virtually none of the packages containing less than 8 ounces. A sample of 20 packages is selected periodically and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 20 packages, the mean amount dispensed is 8.15 ounces, with a sample standard deviation of 0.06 ounce. Is there evidence that the population mean amount is different from 8.17 ounces? A group of researchers conducted a study of pregnant cocaine-dependent women. The women in the study used cocaine on a regular basis (at least three times a week) for more than a year. One of the many variables measured was the birth weight (in grams) of the baby delivered. Suppose a random sample of 36 cocaine-dependent women had a mean birth weight of 2,950 grams with a standard deviation of 400 grams. Test, using a 5% significance level, whether the mean birth weight is less than 3100 grams for cocaine-dependent women. Find the value required for a large sample confidence interval using 99.26% confidence. (Do not construct the interval - just give the z-value)

The number of hours of overtime worked in a week by a random sample of 5 employees is given below:

Use these data to calculate a 95% confidence interval for the mean number of hours of overtime worked in a week.

Suppose the bacteria count per milliliter of raw milk has a mean of 25 and a standard deviation of 3. If 46 samples of raw milk are randomly chosen, what is the probability that the mean bacteria count will be greater than 25807?

A company wishes to estimate the mean monthly electric bill, with a standard deviation of $100. How large of a sample is required to estimate the mean electric bill to within $60 with 90% confidence?

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 15 ounces, the company wants the packages to contain a mean of 8.17 ounces, with virtually none of the packages containing less than 8 ounces. A sample of 20 packages is selected periodically and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 20 packages, the mean amount dispensed is 8.15 ounces, with a sample standard deviation of 0.06 ounce. Is there evidence that the population mean amount is different from 8.17 ounces?

A group of researchers conducted a study of pregnant cocaine-dependent women. The women in the study used cocaine on a regular basis (at least three times a week) for more than a year. One of the many variables measured was the birth weight (in grams) of the baby delivered. Suppose a random sample of 36 cocaine-dependent women had a mean birth weight of 2,950 grams with a standard deviation of 400 grams. Test, using a 5% significance level, whether the mean birth weight is less than 3100 grams for cocaine-dependent women.

Find the value required for a large sample confidence interval using 99.26% confidence. (Do not construct the interval - just give the z-value)