A scientist has read that the mean birth weight of babies born at full term is 7.6 pounds. The scientist has good reason to believe that the mean birth weight ofbabies born at full term, µ, is greater than this value and plans to perform a statistical test. She selects a random sample of 100 birth weights of babies born atfull term.Suppose that the population of birth weights of babies born at full term has a standard deviation of 1.6 pounds and that the scientist performs her hypothesistest using the 0.10 level of significance.Based on this information, answer the questions below. Carry your intermediate computations to four or more decimal places, and round your responses asindicated.(If necessary, consult a list of formulas.)(a) What are the null hypothesis H, and the alternative hypothesis H, that thescientist should use for the test?合H: I(b) What is the probability that the scientist rejects the null hypothesis when, in fact,D=D

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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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A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 69 companies reported in The Wall Street Journal found a sample mean tenure of 8.8 years for CEOs with a standard deviation of s=s= 4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.10α=0.10. Your hypotheses are: Ho:μ=9Ho:μ=9 Ha:μ<9Ha:μ<9What is the test statistic for this sample?test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample?p-value = (Report answer accurate to 4 decimal places.) The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to...…
A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 120 companies reported in The Wall Street Journal found a sample mean tenure of 7.3 years for CEOS with a standard deviation of s = 5.8 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.001. Your hypotheses are: H.:µ 29 На : и <9 What is the test statistic for this sample? test statistic = * (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = * (Report answer accurate to 4 decimal places.)
A prominent medical group claims that the population mean of the surgery durations for all brain tumor patients is 3.69 hours. You are a data analyst for a health insurance company and want to test that claim. To do so, you select a random sample of 32 brain tumor surgery patients, and you record the surgery duration for each. Assume it is known that the population standard deviation of the durations of all brain tumor surgeries is 1.68 hours. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the surgery durations for all brain tumor patients. Then state whether the confidence interval you construct contradicts the medical group's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 32 brain tumor patients. (b) (c) Take Sample Sample size: Point estimate: Population standard deviation: Critical value: Compute 0.00 0.00 Number of patients Enter the values…
A study showed that females’ body temperatures are approximately normally distributed with a mean of 98.40F, and a population standard deviation of 0.700F. Find the female body temperature at the 90th percentile.
In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6°F with a standard deviation of 0.72 °F. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 °F. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the Z crit?
You have obtained the number of years of education from one random sample of 38 police officers from City A and the number of years of education from a second random sample of 30 police officers from City B. The average years of education for the sample from City A is 15 years with a standard deviation of 2 years. The average years of education for the sample from City B is 14 years with a standard deviation of 2.5 years. Is there a statistically significant difference between the education levels of police officers in City A and City B?What is the appropriate test for this case? 2 sample z-testChi-square test 2-sample t-test2 sample paired t-test Carry out the test. The test statistic = (round answer to two decimal places.)and the p-value is (round answer to 2 decimal places)There sufficient evidence at the 5% level to conclude that the education levels of police officers in City A and City B is significantly different.
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
A scientist has read that the mean birth weight of babies born at full term is 7.4 pounds. The scentist has good reason to believe that the mean birth weight of babies born at full term, µ, is greater than this value and plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.8 pounds and the standard deviation to be 1.6 pounds. Based on this information, complete the parts below. (a) what are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? Ho :0 O
In the year 2033, katy perry is a leading traveling nurse. Katy 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. Katy 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. g) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e? h) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value.
A psychologist is studying smokers self images, which she measures by the self image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 140. The psychologist gathers a random sample of 17 SI scores of smokers and finds that their mean is 164 and their standard deviation is 38. Assume that the population of SI scores of smokers is normally distributed with mean μ. Based on the sample, can the psychologist conclude that μ is different from 140? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
Aldo, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Aldo models the boulders' weights using a normal distribution with a mean of 556 kg and a standard deviation of 100 kg find the percentage of boulders that weigh less than 520kg or more than 592kg according to the model. .
A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 10 years. A survey of 84 companies reported in The Wall Street Journal found a sample mean tenure of 8 years for CEOS with a standard deviation of s = 5.6 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.10. Your hypotheses are: Но: и > 10 Ha: µ < 10 What is the test statistic for this sample? test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.)

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