Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with a standard deviation of 3in. 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 forthe true mean height.Can Jeremy use this information to find the z-confidence interval? Complete the following sentences.The population distribution isand the population standard deviation isTherefore,the sampleto find a 90% z-confidence interval.

Answered: Suppose that the height of Asian males…

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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The CDC is concerned that teenagers are being pushed into too many out-of-school activities. Their studies conclude that two out-of-school activities is the healthiest amount. You sample 49 students from the local high school and find that on average they participate in 5 activities with a standard deviation of 2. Use α = .01 for a two-tailed test. What is the cut-off value of t?
Vorkers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 16 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.09 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.96 oz and 12.64 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.17 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.17 oz. Use a 0.025 significance level. Complete parts (a) hrough (d) below. 口 1. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o=0.17 oz O B. Ho o>0.17 oz H1:0=0.17 oz H:o<0.17 oz O C. Ho: o= 0.17 oz H: o 0.17 oz O D. Ho: o20.17 oz H: o<0.17 oz p. Compute the test statistic. Round to three decimal places as needed.) c. Find the P-value. P-value D (Round…
The daily demand for six-packs of Coke at Mr. D’sfollows a normal distribution, with a mean of 120 and astandard deviation of 30. Every Monday, the delivery driverdelivers Coke to Mr. D’s. If the store wants to have only a1% chance of running out of Coke by the end of the week,how many six-packs should be ordered for the week?(Assume that orders can be placed Sunday at midnight.)
An obstetrician read that a newborn baby loses on average 7 ounces in thefirst two days of his or her life. He feels that in the hospital where he works,the average weight loss of a newborn baby is less than 7 ounces. A randomsample of 32 newborn babies has a mean weight loss of 6.5 ounces. Thepopulation standard deviation is 1.8 ounces. Is there enough evidence at α =0.01 to support his claim?
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)
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.6 years and a standard deviation of 0.4 years. He then randomly selects records on 48 laptops sold in the past and finds that the mean replacement time is 3.4 years. Assuming that the laptop replacement times have a mean of 3.6 years and a standard deviation of 0.4 years, find the probability that 48 randomly selected laptops will have a mean replacement time of 3.4 years or less. P(M < 3.4 years)=__________
A chain of restaurants has historically had a mean wait time of 5 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 35 customers. The mean wait time for the sample is 5.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 5 minutes? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 μ X 0° OO 20ם ローロ OO × 5 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. 0.10 is the value that cuts off an area of 0.10 in the right tail. *-μ ⚫ The test statistic has a normal distribution and the value is given by z=- σ √n Standard Normal…
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.4 years. He then randomly selects records on 25 laptops sold in the past and finds that the mean replacement time is 3.2 years.Assuming that the laptop replacement times have a mean of 3.3 years and a standard deviation of 0.4 years, find the probability that 25 randomly selected laptops will have a mean replacement time of 3.2 years or less.P(M < 3.2 years) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? No. The probability of obtaining this data is high enough…
A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
In the year 2033, Sarai Patterson is a leading traveling nurse. Sarai is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Sarai takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions. a) What is the setup for your null and alternative hypothesis? b) What is the value of the test statistic? c) What is/are the critical value(s)?
Pilots who cannot maintain regular sleep hours due to their work schedule often suffer from insomnia. A recent study on sleeping patterns of pilots focused on quantifying deviations from regular sleep hours. A random sample of 28 commercial airline pilots was interviewed, and the pilots in the sample reported the time at which they went to sleep on their most recent working day. The study gave the sample mean and standard deviation of the times reported by pilots, with these times measured in hours after midnight. (Thus, if the pilot reported going to sleep at p.m., the measurement was -1.) The sample mean was 0.8 hours, and the standard deviation was 1.6 hours. Assume that the sample is drawn from a normally distributed population. Find a 90% confidence interval for the population standard deviation, that is, the standard deviation of the time (hours after midnight) at which pilots go to sleep on their work days. Then give its lower limit and upper limit.
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.7 years and a standard deviation of 0.5 years. He then randomly selects records on 52 laptops sold in the past and finds that the mean replacement time is 3.6 years. Assuming that the laptop replacement times have a mean of 3.7 years and a standard deviation of 0.5 years, find the probability that 52 randomly selected laptops will have a mean replacement time of 3.6 years or less. P(M3.6 years) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? Yes. The probability of this data is unlikely to have occurred…

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