A researcher hypothesizes that the general population has a mean of u = 50 on somevariable of interest. To test this hypothesis, the researcher collects data from a sampleof n = 16 participants. The sample mean is then calculated to be M = 55 with sample%3Dstandard deviation of s = 3.Using a two-tailed hypothesis test with a = .05, which of the following lists the correctvalues of a 95% confidence interval?23.40 to 52.602.13 to 1.60O 53.40 to 56.6054.99 to 58.60 The value indicating a distribution's 50th percentile (also known as the midpoint) is the:averagemeanmedianrange

Answered: Image /qna-images/answer/979cd004-48d3-4c94-910f-7ef77ab146e1.jpg

Answered: A researcher hypothesizes that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with a standard deviation of 3 in. Jeremy takes a simple random sample of 16 such men and notices that none of them are unusually tall or unusually short. He then calculates the average of the sample to be 67 in. and is planning on using this to find a 90% z-confidence interval for the true mean height. Can Jeremy use this information to find the z-confidence interval? Complete the following sentences. The population distribution is and the population standard deviation is Therefore, the sample to find a 90% z-confidence interval.
A researcher is interested in studying the use of hypnosis to relieve pain. She took a random sample of 16 subjects and measured their sensory ratings. The mean of the sensory ratings was found to be 7.5 and standard deviation to be 2.3. It is known that the sensory ratings are normally distributed. Construct a 99% confidence interval for the mean sensory ratings of the population. a) (5.81, 9.19) b) (6.27, 8.73) c) (6.36, 8.64) d) (6.02, 8.98)
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. The average LOS in Canada is 4.6 days. A random sample of 18 hospitals in one province had a mean LOS of 3.8 days and a standard deviation of 1.7 days. Assume that the sampled population is approximately normal. You are to construct a 95% confidence interval to see if the population mean of 4.6 days is true. Answer the followings: a. What is/are the critical value(s)? b. What is the margin of error? c. Identify the 95% confidence interval for the mean. d. Interpret the interval in terms of this application. Circle the letter of the correct answer below. A. The state can be 95% confident that its mean LOS is within this interval. B. The state can be 5% confident that its mean LOS is within this interval. C. The state can be 95% confident that its mean LOS is outside this interval. D. The state can be 95% confident that its mean LOS is 3.8 days.…
A sample of n = 18 data values randomly selected from a normally distributed population has variance s = 24.8. Construct a 95% confidence interval for the population variance. Round your endpoints to one decimal place. < o? <
Wk Qu. 13-11 A simulation returns... A simulation returns the following statistics: Mean 100 Standard Deviation: 5 Mode: 96 Minimum:75 Maximum: 135 Standard Error: 8. What is the most likely value? Most likely value A 68% confidence interval for the true mean would start at a value of 92 and end at a value of 108. A 68% confidence interval for the true mean would start at a value of and end at a value 108
A sample of n=17n=17 data values randomly selected from a normally distributed population has standard deviation s=6.8s=6.8. Construct a 95% confidence interval for the population standard deviation. Round your endpoints to one decimal place.
This C The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 grams. Use the empirical rule to determine the folowing (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 230 grams and 390 grams? (c) What percentage of organs weighs less than 230 grams or more than 390 grams? (d) What percentage of organs weighs between 270 grams and 430 grams? (a) and grams (Use ascending order.) (b)% (Type an integer or a decimal.) (c) % (Type an integer or a decimal.) (d) % (Type an integer or decimal rounded to two decimal places as needed.) Enter your answer in each of the answer boxes. e Type here to search 近

A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence interval with an error of no more than 0.07 . A consultant has informed them that a previous study found the mean to be 3.6 energy drinks per week and found the variance to be 1.44 . What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
Do male and female servers work the same number of hours? A sample of 14 female servers worked an average of 27 hours per week, with a standard deviation of 4. A sample of 23 male servers worked an average of 35 hours per week, with a standard deviation of 3. Construct a 80% confidence interval for the mean difference in hours worked for male and female servers. Assume that the populations are normal with unequal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations. Hint: Think about the formula for the confidence interval. How do we find to? How do we find the standard error given that we are assuming unequal variances? We are 80% confident that the interval (-9.672 -6.328 μ₁ −μ2 in hours worked between male and female servers. Which of the following do you conclude? contains the true mean difference Female servers work more hours on average. O Male servers work more hours on average. Female and male servers work about the…
Question 2: A random sample of 200 observations produced a sample proportion of 0.35. Determine the 98% confidence interval for the population proportion. rt Answer:
Hunter is writing a report on the backgrounds of American presidents. He finds that the mean age of the 45 presidents is 55 years with the standard deviation of 6.59 years. Because Hunter took a statistics course, he calculates a 95% confidence interval for the mean age of all men who have been president to be 55 ± 1.98. Comment on this result. Question 8 options: Hunter can be 95% confident that the mean age of all presidents is 55 years. 95% of all the ages of the presidents lie between 55 ± 1.98. Hunter should have taken a larger sample to reduce the margin of error. Hunter is 95% confident that the mean age of all presidents lies between 53.02 and 56.98 years. The confidence interval makes no sense since Hunter has the entire population of ages.

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