1. What SAMPLE SIZE is needed if a 2 lb. margin of error is required for...

1. What SAMPLE SIZE is needed if a 2 lb. margin of error is required for computing the 98% confidence interval of the mean weight of adult female otters? Assume a population standard deviation of 6 lbs.

2. BY HAND (i.e., calculate the margin of error from the formula), find the 90% confidence interval for the mean number of times people breathe per minute (bpm), given that a sample of 60 people had a mean rate of 9.3 bpm. Assume a population standard deviation of 1.5 bpm.

Solutions

Expert Solution

1 ) Given : Margin of error=E=2

Population stnadard deviation=

Significance level=

Now , ; From standard normal distribution table

Therefore , the required sample size is ,

Given : Sample size=n=60

Population stnadard deviation=

Significance level=

Now , ; From standard normal distribution table

Therefore , the margin of error is ,

Therefore , the 90% confidence interval for the mean number of timess people breathe per minute is ,

orchestra answered 1 year ago

Next > < Previous

Related Solutions

What sample size is needed if a ±1.5 lbs. margin of error is needed for computing...

What sample size is needed if a ±1.5 lbs. margin of error is needed for computing the 95% confidence interval of the mean weight of U.S. adult males? Assume a population standard deviation of 12 lbs. 9. Find the 99% confidence interval for the mean number of times people blink per hour (bph), given that a sample of 60 people had a mean rate of 1230 bph. Assume a population standard deviation of 200 bph.

Part 1) What sample size is needed to give a margin of error within +-6% in...

Part 1) What sample size is needed to give a margin of error within +-6% in estimating a population proportion with 95% confidence? Use z-values rounded to three decimal places. Round your answer up to the nearest integer. Part 2) Use StatKey or other technology to generate a bootstrap distribution of sample proportions and find the standard error for that distribution. Compare the result to the standard error given by the Central Limit Theorem, using the sample proportion as an...

a.) What sample size is needed to give a margin of error within +-6 in estimating...

a.) What sample size is needed to give a margin of error within +-6 in estimating a population mean with 95% confidence, assuming a previous sample had s=20. Round your answer up to the nearest integer. sample size = b.) What sample size is needed to give a margin of error within +-13 in estimating a population mean with 99% confidence, assuming a previous sample had s=116 Round your answer up to the nearest integer. sample size = c.) In...

Find the sample size needed to give, with 99% confidence a margin of error within +/-...

Find the sample size needed to give, with 99% confidence a margin of error within +/- 5 σ = 80 n = ____ σ = 30 n =____ σ =10 n = _____

find the sample size needed to give with 99% confidence a margin of error of plus...

find the sample size needed to give with 99% confidence a margin of error of plus or minus 5% when estimating proportion within plus minus 4% within plus minus 1%

find the sample size needed to give a margin of error to estimate a proportion within...

find the sample size needed to give a margin of error to estimate a proportion within plus minus 2% within 99% confidence within 95% confidence within 90% confidence assume no prior knowledge about the population proportion p

Find the minimum sample size required to estimate a population proportion with a margin of error...

Find the minimum sample size required to estimate a population proportion with a margin of error equal to .04 and a confidence level of 90%. A recent study resulted in a sample proportion of .70. Also determine the minimum sample size if no prior study was done.

What sample size would be needed to construct a 95% confidence interval with a 3% margin...

What sample size would be needed to construct a 95% confidence interval with a 3% margin of error on any population proportion?

1) margin of error: 0.025; confidence level: 99%; p = .25. The minimum sample size is n...

1) margin of error: 0.025; confidence level: 99%; p = .25. The minimum sample size is n = . 2) margin of error: 0.04; confidence level 98%; p = .7. The minimum sample size is n = . 3) margin of error: 3%; confidence level 95%; p = .5. The minimum sample size is n = . 4) margin of error 2%; confidence level 97%; p = .15. The minimum sample size is n = . 5) margin of error 1.5%; confidence level 96%; p...

What are the three pieces of information needed to determine the margin of error? Identify the...

What are the three pieces of information needed to determine the margin of error? Identify the three ways that you can minimize the margin of error ? Constructr a 90% two sided confidence interval around the true value of When the sample data used are: 45, 37, 65, 39, 46, 60, 45, 44, 48, 51, 55 , 62 How large of a sample size, n, do you need to be 90% confident that your margin error is no more than...

Subjects