in order to estimate the # of calls to expect at a new suicide hotline, volunteers contact a random sample of 35 similar hotlines across the nation and find that the sample mean is 42.0 calls per month. Construct a 95% confidence interval for the mean # of calls per month. assume that the population standard deviation is known to be 6.5 calls per month.
Please don't hesitate to give a "thumbs up" in case you're satisfied with the answer
This is given by the following formula:
Xbar +/- Z*Stdev/sqrt(n)
We know the values in the formula , Also:
The Z for 95% CI is 1.96. So, we use this below:
= 42 +/- 1.96*6.5/sqrt(35)
= 39.847 to 44.153
in order to estimate the # of calls to expect at a new suicide hotline, volunteers...
2) In order to estimate the number of calls to expect at a new suicide hotline, volunteers contact a random sample of 35 similar hotlines across the nation and find that the sample mean is 42.0 calls per month. a. Construct a 95% confidence interval for the mean number of calls per month. Assume that the population standard deviation is known to be 6.5 calls per month. b. Interpret the construction done in part “a”.
Please show hand written work for everything including formulas etc. 5. In order to estimate the number of calls to expect at a new suicide hotline, volunteers contact a random sample of 35 similar hotlines across the nation and find that the sample mean is 42.0 calls per month. Construct a 95% confidence interval for the mean number of calls per month. Assume that the population standard deviation is known to be 6.5 calls per month
6. Consider the following sample: Xi = -2, X2 = 12. X7-1.5, Xs -0.5, a. Estimate the population mean, μ, using an analogical estimator. b. Estimate the population variance. ơ2, using a biased and an unbiased estimator. c. Assuming that the random sample is drawn from a normal population with known variance, σ2-4, construct a 95% confidence interval for the population mean. d. Assuming that the random sample is drawn from a normal population with unknown variance, σ2, construct a...
The population of Mosquito has an unknown mean lifespan μ with standard deviation σ = 0.55 days. A) A sample of 23 mosquito has a mean lifespan of 6.5 days. Construct a 87 % confidence interval to estimate the mean lifespan μ of the mosquito population. Round to 4 decimal places.) The interval: 6.5 (Round E to 2 decimal places) The interval in traditional format: ( B) For the same sample of 23 mosquito with mean lifespan of 6 5...
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 2.4 2.2 2.2 2.6 2.2 2 2.5 2.8 2 2.4 What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) Which distribution should you use for this problem? normal distribution t-distribution What...
Consider a population having a standard deviation equal to 9.96. We wish to estimate the mean of this population. (a) How large a random sample is needed to construct a 95% confidence interval for the mean of this population with a margin of error equal to 1? (Round your answer to the next whole number.) The random sample is units. (b) Suppose that we now take a random sample of the size we have determined in part a. If we...
A random sample of 49 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 59 and 3.1, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Construct the 90% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval b. Construct the...
A bottled water distributor wants to estimate the amount of water contained in 11-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.04 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 11-gallon bottle is 0.981 gallon. Complete parts (a) through (d). a. Construct a 95% confidence interval estimate for the population mean...
Question 4 A company has developed a new type of light bulb, and wants to estimate its mean lifetime. A simple random sample of 12 bulbs had a sample mean lifetime of 651 hours with a sample standard deviation of 43 hours. It is reasonable to believe that the population is approximately normal. Find the lower bound of the 95% confidence interval for the population mean lifetime of all bulbs manufactured by this new process. Round to the nearest integer....
2. A population is known to have a standard deviation of 26.1. A sample space of 35 items has a mean of (1 point) 562. Construct a 90% confidence interval estimate of the mean of the population. 0566<p<558 0555<pバ569 O 551<H573 0561<p<563 3. While researching the cost of school lunches per week across the state, you use a sample size of 45(point) weekly lunch prices. The standard deviation is known to be 68 cents. In order to be 90% confident,...