Question

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 15...

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 15 people reveals the mean yearly consumption to be 62 gallons with a standard deviation of 22 gallons. Assume the population distribution is normal. (Use t Distribution Table.)

  1. Develop the 98% confidence interval for the population mean. (Round your answers to 3 decimal places.)
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

Given that,

t /2,df = 2.624

Margin of error = E = t/2,df * (s /n)

= 2.624 * (22 / 15)

Margin of error = E = 14.905

The 98% confidence interval estimate of the population mean is,

- E < < + E

62 - 14.905 < < 62 + 14.905

47.095 < < 76.905

(47.095 , 76.905)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 12...
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 12 people reveals the mean yearly consumption to be 56 gallons with a standard deviation of 16 gallons. Assume the population distribution is normal. (Use t Distribution Table.) a. What is the value of the population mean? b. What is the best estimate of this value? c. For a 99% confidence interval, what is the value of t?
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 14...
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 14 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons. Assume the population distribution is normal. (Use t Distribution Table.) a-1. What is the value of the population mean? 20 60 Unknown a-2. What is the best estimate of this value? For a 95% confidence interval, what is the value of t? (Round your answer to 3...
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 23...
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 23 people reveals the mean yearly consumption to be 78 gallons with a sample standard deviation of 20 gallons. (a-1) What is the value of the population mean?   Population mean (Click to select)78 Unknown 20   (a-2) What is the best estimate of this value?   Estimate population mean    (c) For a 98 percent confidence interval, what is the value of t? (Round your answer to...
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 16...
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 16 people reveals the mean yearly consumption to be 45 gallons Page 260with a standard deviation of 20 gallons. Assume the population distribution is normal. a.What is the value of the population mean? What is the best estimate of this value? b.Explain why we need to use the t distribution. What assumption do you need to make? c.For a 90% confidence interval, what is the...
Exercise 12 The U.S. Dairy industry wants to estimate the mean yearly milk consumption. A sample...
Exercise 12 The U.S. Dairy industry wants to estimate the mean yearly milk consumption. A sample of 16 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons. Assume the population distribution is normal. Explain which words in the problem indicate a z-distribution or a t-distribution (choose one). Show how to calculate the confidence interval using Excel or typing out the equation (such as for proportions). The purpose is to identify a correct...
The U.S dairy wants to estimate the mean yearly milk consumption. A sample of 9 people...
The U.S dairy wants to estimate the mean yearly milk consumption. A sample of 9 people reveal the mean yearly consumption to be 50 gallons with a standard deviation 15 gallons. Develop a 99% confidence interval for the population mean. Is it reasonable for the population mean to be 70 gallons?
The U.S. Daily Industry want to estimate the mean yearly mild consumption. A sample of 16...
The U.S. Daily Industry want to estimate the mean yearly mild consumption. A sample of 16 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons. a. What is the value of the population mean? What is the best estimate of this value? b. Explain why we need to use t distribution. c. For a 90 percent confidence interval, what is the value of t? d. Develop the 90 percent confidence interval for...
A health professional wishes to estimate the true mean yearly soda consumption (in gallons) of U.S....
A health professional wishes to estimate the true mean yearly soda consumption (in gallons) of U.S. adults. A sample of 35 adults was taken, and it was found that they consumed an average of 45.6 gallons of soda in one year. The standard deviation of the population is 3.5 gallons We would like to construct a 95% confidence interval estimate for the true mean. What critical value will you use for a 95% confidence interval? Give the value and specify...
A local grocery store wants to estimate the mean daily number of gallons of milk sold...
A local grocery store wants to estimate the mean daily number of gallons of milk sold to customers. Assume the number of gallons sold follows the normal distribution, with a population standard deviation of 1.9 gallons. A random sample of 70 days shows that the mean daily number of gallons sold is 15.50. A. Compute a 90% confidence interval for the population mean. B. This local grocery store is looking to find evidence to contradict the claim that the average...
Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean...
Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons sold follows the normal distribution with a population standard deviation of 2.30 gallons. From his records, he selects a random sample of 70 sales and finds the mean number of gallons sold is 5.70. What is the point estimate of the population mean? (Round your answer to 2 decimal places.)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT