A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate μ using the mean of the sample. What is the minimum sample size needed in order for the union to be 99% confident that its estimate is within $0.35 of μ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.10.Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).(If necessary, consult a list of formulas.)

A psychologist is studying the self image of smokers, which she measures by the self-image (SI) score from a personality inventory. She would like to estimate the mean SI score, μ, for the population of all smokers. She plans to take a random sample of SI scores for smokers and estimate μ via this sample. Assuming that the standard deviation of SI scores for the population of all smokers is 90, what is the minimum sample size needed for the psychologist to be 95% confident that her estimate is within 15 of μ?Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).(If necessary, consult a list of formulas.)

A simple random sample of size 300 was taken from the population of all manufacturing establishments in a certain state: 11 establishments in the sample had 100 employees or more. Estimate the percentage of manufacturing establishments with 100 employees or more.5 Attach a standard error to the estimate.

A sample of size =n90 is drawn from a normal population whose standard deviation is =σ9.7. The sample mean is =x38.78.Part: 0 / 20 of 2 Parts CompletePart 1 of 2(a) Construct an 80% confidence interval for μ. Round the answer to at least two decimal places.An 80% confidence interval for the mean is <<μ.

In a sample of 41 U.S. adults aged 18-24 who celebrate Halloween, the mean amount spent on a costume was $43.3 with a standard deviation of $14.9. Round answers to at least 4 decimal places.a) What parameter are we estimating? b) We can work this problem because: c) What is the point estimate of that parameter? d) What is the standard deviation of the sampling distribution for the sample means? e) Find the margin of error for a 90% confidence interval for the true average amount spent on a costume. f) We are 90% confident that the true average amount spent on a Halloween costume for U.S. adults aged 18-24 is between $ and $. Do not round between steps, and round answer to 4 decimal places.

A report announced that the median sales price of new houses sold one year was $231,000,and the mean sales price was $271,600.Assume that the standard deviation of the prices is $90,000. Complete parts (a)through(d)below. (c) If you select a random sample of n=100,what is the probability that the sample mean will be less than $300,000? The probability that the sample mean will be less than $300,000 is (Round to four decimal places as needed.)