Question

A toy manufacturer wants to know how many new toys children buy each year. Assume a...

A toy manufacturer wants to know how many new toys children buy each year. Assume a previous study found the standard deviation to be 1.5. She thinks the mean is 7.2 toys per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 98% level of confidence?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given that the standard deviation , =1.5 and margin of error, E=01 , hence by Z table given below Z score at 98 % confidence level is 2.33 Now by Minimum sample formula

Hence minimum sample required is 1222

We were unable to transcribe this image

N Z2 E2 2.332 1.52 0.12 48.8601 49

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

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
A toy manufacturer wants to know how many new toys children buy each year. Assume a...
A toy manufacturer wants to know how many new toys children buy each year. Assume a previous study found the standard deviation to be 1.5. She thinks the mean is 6.9 toys per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 80% level of confidence? Round your answer up to the next integer.
A toy manufacturer wants to know how many new toys children buy each year. Assume a...
A toy manufacturer wants to know how many new toys children buy each year. Assume a previous study found the variance to be 3.61. She thinks the mean is 9.3 toys per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.12 at the 90% level of confidence? Round your answer up to the next integer.
A fashion designer wants to know how many new dresses women buy each year. Assume a...
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the variance to be 4. She thinks the mean is 7 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.11 at the 90% level of confidence? Round your answer up to the next integer.
A fashion designer wants to know how many new dresses women buy each year. Assume a...
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.4. She thinks the mean is 7.3 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.13 at the 90% level of confidence? Round your answer up to the next integer.
PART ONE: A toy manufacturer wants to know how many new toys children buy each year....
PART ONE: A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their purchasing habits. Construct the 80% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 7.6. Assume that the population standard deviation is 1.5. Round your answers to one decimal place. PART TWO: Find the area under the standard normal curve between z=−0.75z=−0.75 and z=1.83z=1.83....
A fashion designer wants to know how many new dresses women buy each year. She thinks...
A fashion designer wants to know how many new dresses women buy each year. She thinks the mean is 6.6 dresses per year. Assume a previous study found the variance to be 4. How large of a sample would be required in order to estimate the mean number of dresses bought per woman at the 98% confidence level with an error of at most 0.09 dresses?
A toy company wants to know the mean number of new toys per child bought each...
A toy company wants to know the mean number of new toys per child bought each year. Marketing strategists at the toy company collect data from the parents of 50 randomly selected children. The sample mean is found to be 4.7 toys per child, and the sample standard deviation is calculated to be 1.5 toys per child per year. Assume that the population standard deviation is unknown. What is the upper bound for a 99% confidence interval? Group of answer...
A software developer wants to know how many new computer games people buy each year. A...
A software developer wants to know how many new computer games people buy each year. A sample of 2395 people was taken to study their purchasing habits. Construct the 98% confidence interval for the mean number of computer games purchased each year if the sample mean was found to be 6.3. Assume that the population standard deviation is 2.2. Round your answers to one decimal place.
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They...
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 95% confidence interval with an error of no more than 0.08. A consultant has informed them that a previous study found the mean to be 3.1 soft drinks per week and found the variance to be 0.49. What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They...
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence interval with an error of no more than 0.06. A consultant has informed them that a previous study found the mean to be 7.6 soft drinks per week and found the variance to be 0.81. What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT