Question

Taste Buds – Top Chefs: Assume the mean number of taste buds from the general population...

Taste Buds – Top Chefs: Assume the mean number of taste buds from the general population is 10,000 with a standard deviation of 950. You take a sample of 10 top chefs and find the mean number of taste buds is 10,900. Assume that the number of taste buds in top chefs is a normally distributed variable and assume the standard deviation is the same as for the general population.

(a) What is the point estimate for the mean number of taste buds for all top chefs? ____ taste buds

(b) What is the critical value of z (denoted zα/2) for a 95% confidence interval? Use the value from the table or, if using software, round to 2 decimal places. zα/2 =

(c) What is the margin of error (E) for the mean number of taste buds for top chefs in a 95% confidence interval? Round your answer to the nearest whole number. E = ___ taste buds

(d) Construct the 95% confidence interval for the mean number of taste buds for all top chefs. Round your answers to the nearest whole number. < μ <

(e) Based on your answer to part (d), are you 95% confident that top chefs have, on average, more taste buds than the general population and why?

Yes, because the population mean of 10,000 is below the upper limit of the confidence interval for the mean for top chefs.

Yes, because the general population mean of 10,000 is below the lower limit of the confidence interval for the mean for top chefs. No, because the population mean of 10,000 is below the upper limit of the confidence interval for the mean for top chefs.

No, because the general population mean of 10,000 is below the lower limit of the confidence interval for the mean for top chefs.

(f) Why were we able to use the methods of this chapter despite such a small sample?

Because we are assuming the number of taste buds in top chefs is a normally distributed variable.

Because σ is greater than 100.

Because the number of taste buds represents a discrete variable.

Because the sample mean is sufficiently large.

Homework Answers

Answer #1

please rate if it is helpfull

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Taste Buds – Top Chefs: Assume the mean number of taste buds from the general...
1. Taste Buds – Top Chefs: Assume the mean number of taste buds from the general population is 10,000 with a standard deviation of 850. You take a sample of 10 top chefs and find the mean number of taste buds is 10,900. Assume that the number of taste buds in top chefs is a normally distributed variable and assume the standard deviation is the same as for the general population. (a) What is the point estimate for the mean...
Assume the mean number of taste buds from the general population is 10,000 with a standard...
Assume the mean number of taste buds from the general population is 10,000 with a standard deviation of 900. You take a sample of 10 top chefs and find the mean number of taste buds is 11,200. Assume that the number of taste buds in top chefs is a normally distributed variable and assume the standard deviation is the same as for the general population. (a) What is the point estimate for the mean number of taste buds for all...
You want to construct a confidence interval for the mean number of taste buds in top...
You want to construct a confidence interval for the mean number of taste buds in top chefs. Assume the population standard deviation is 900. (a) Calculate the minimum required sample size if you want a margin of error no greater than 300 at the 95% confidence level.   The minimum sample size is ___ chefs. (b) What will cause the minimum required sample size to increase? increasing the confidence level increasing the acceptable margin of error decreasing the acceptable margin of...
We have a sample of size n = 36 with mean x with bar on top...
We have a sample of size n = 36 with mean x with bar on top space equals 12. If population standard deviation, sigma equals 2, what is the upper limit of 95% confidence interval (zα/2=1.96) of population mean µ?
In a random sample of 830 adults in the U.S.A., it was found that 84 of...
In a random sample of 830 adults in the U.S.A., it was found that 84 of those had a pinworm infestation. You want to find the 95% confidence interval for the proportion of all U.S. adults with pinworm. (a) What is the point estimate for the proportion of all U.S. adults with pinworm? Round your answer to 3 decimal places. (b) What is the critical value of z (denoted zα/2) for a 95% confidence interval? Use the value from the...
Pinworm: In a random sample of 790 adults in the U.S.A., it was found that 80...
Pinworm: In a random sample of 790 adults in the U.S.A., it was found that 80 of those had a pinworm infestation. You want to find the 95% confidence interval for the proportion of all U.S. adults with pinworm. (a) What is the point estimate for the proportion of all U.S. adults with pinworm? Round your answer to 3 decimal places. (b) What is the critical value of z (denoted zα/2) for a 95% confidence interval? Use the value from...
Corn: In a random sample of 92 ears of corn, farmer Carl finds that 14 of...
Corn: In a random sample of 92 ears of corn, farmer Carl finds that 14 of them have worms. He wants to find the 95% confidence interval for the proportion of all his corn that has worms. (a) What is the point estimate for the proportion of all of Carl's corn that has worms? Round your answer to 3 decimal places. (b) What is the critical value of z (denoted zα/2) for a 95% confidence interval? Use the value from...
Corn: In a random sample of 92 ears of corn, farmer Carl finds that 14 of...
Corn: In a random sample of 92 ears of corn, farmer Carl finds that 14 of them have worms. He wants to find the 95% confidence interval for the proportion of all his corn that has worms. (a) What is the point estimate for the proportion of all of Carl's corn that has worms? Round your answer to 3 decimal places.    (b) What is the critical value of z (denoted zα/2) for a 95% confidence interval? Use the value...
Corn: USE SOFTWARE In a random sample of 88 ears of corn, farmer Carl finds that...
Corn: USE SOFTWARE In a random sample of 88 ears of corn, farmer Carl finds that 15 of them have worms. He wants to find the 95% confidence interval for the proportion of all his corn that has worms. (a) What is the point estimate for the proportion of all of Carl's corn that has worms? Round your answer to 3 decimal places. (b) What is the critical value of z (denoted zα/2) for a 95% confidence interval? Use the...
Pinworm: In a random sample of 780 adults in the U.S.A., it was found that 76...
Pinworm: In a random sample of 780 adults in the U.S.A., it was found that 76 of those had a pinworm infestation. You want to find the 95% confidence interval for the proportion of all U.S. adults with pinworm. (a) What is the point estimate for the proportion of all U.S. adults with pinworm? Round your answer to 3 decimal places. (b) What is the critical value of z (denoted zα/2) for a 95% confidence interval? Use the value from...