Katie thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 11 obituariesfrom newspapers from rural towns in Idaho give = 81.71 and s = 0.74. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years?(a) State the null and alternative hypotheses: (Type "mu" for the symbol μ, e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is notequal to 1)Ho:HA:(b) Find the test statistic, t =

Step 1: List the given values.We are given the following:population mean lifespan in the USA, μ = 77…

Answered: Katie thinks that people living in a…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Katie thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 8 obituaries from newspapers from rural towns in Idaho give x¯=80.82 and s=2.01. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? a) State the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0 : Ha : b) Find the test statistic, t c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? YES or NO?
Andrew thinks that people living in a rural environment have a healthier lifestyle than other people. He believes the average : 78.6 and lifespan in the USA is 77 years. A random sample of 8 obituaries from newspapers from rural towns in Idaho give a = s = 1.15. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (a) State the null and alternative hypotheses: (Type "mu" for the symbol u , e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Но : На: (b) Find the standardized test statistic, t = (c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (Use a 10% level of significance) (Type: Yes or No)
The life expectancy of a male during the course of the past 100 years is approximately 27,747 days. Use the table to the right to conduct a test using a = 0.05 to determine whether the evidence suggests that chief justices live longer than the general population of males. Suggest a reason why the conclusion drawn may be flawed. State the appropriate null and alternative hypotheses. A. Ho: μ = 27,747 versus H₁: µ‡27,747 C. Ho: μ = 30,581 versus H₁: µ# 30,581 E. Ho: μ = 30,581 versus H₁: μ30,581 OF. Ho: μ = 27,747 versus H₁: µ> 27,747 Life Chief Life Chief Justice Span (Days) Justice Span (Days) 1 A B C D E F G H 32,084 32,961 32,914 29,794 32,946 30,640 26,112 32,423 J K L M N O P 31,412 29,302 27,346 32,069 32,476 29,152 30,548 27,118 State the conclusion for the test. Choose the correct answer below. A. Reject the null hypothesis. There is sufficient evidence to conclude that the mean life span of males is longer than 27,747 days. Thus, there is sufficient evidence to indicate that…
Which of the following hypotheses is appropriate to the given figure? * HA : H1 = Ho H. : µi = Ho %3D Option 1 Option 2 H. : µi # Ho Ha: µi >< Ho Option 3 Option 4
A dietician read in a survey that 85.36% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that a larger proportion skip breakfast 3 days a week. To verify her claim, she selects a random sample of 66 adults and asks them how many days a week they skip breakfast. 41 of them report that they skip breakfast at least 3 days a week. Test her claim at . = 0.05.
Answers: 1. a) χ2 = 4.112, do not reject H0: gender and age of contracting the disease are independent; b) χ2 = 14.03, reject H0: the data do not support the researcher's beliefs; c) χ2 = 2.068, do not reject H0: it appears that this belief is not supported (there is no evidence to suggest that the belief is correct).
Air handling: The mean lifetime of a handheld leaf blower is reported to be 250 hours. A lawncare technician believes the actual lifetime to be more than 250 hours. A test is made of H0:μ=250 versus H1:μ>250. The null hypothesis is not rejected. State an appropriate conclusion.
If a police officer wants to find out whether the average speed of motorists on a highway with a speed limit of 55 mph is greater than 55 mph, then the null hypothesis is 55. false true
The life expectancy of a male during the course of the past 100 years is approximately 27,739 days. Use the table to the right to conduct a test using a = 0.10 to determine whether the evidence suggests that chief justices live longer than the general population of males. Suggest a reason why the conclusion drawn may be flawed. Life Span (Days) 30,716 Chief Life Span O (Days) 30,815 32,785 Chief Justice Justice A 30,519 30,144 J K. 26,044 30,824 D 28,311 L 32,360 31,674 25,002 32,643 M 32,377 30,763 32,319 31,238 G State the appropriate null and alternative hypotheses. O A. Ho: H= 27,739 versus H,: u>27,739 O B. Ho: H=30,533 versus H,: u# 30,533 O C. Ho: = 30,533 versus H,: p> 30,533 OD. Ho: H= 27,739 versus H,: u# 27,739 O E. Ho H=27,739 versus H,: H M C V R
A researcher noticed that today's adolescents seem to have higher rates of social anxiety than those of generations past. In 1990, the average level of social anxiety in adolescents was μ = 15.5. The researcher collects data by sampling 100 adolescent students from the tristate area and records their level of anxiety. Testing at an alpha level of a = .05, what will the researcher conclude about today's adolescents? a.) Step 1: State the Hypotheses H₂: H₁: b.) Step 2: Determine the critical region and draw it on the distribution above: df = c.) Step 3: Calculate the test statistic the sample mean is 16.5 and SS = 0.25 M= SM= tobs d.) Step 4: Make a decision. Circle one: Reject Null (Ho) or e.) State your conclusions about the research scenario in sentence form: tcritical = 72²= Fail to Reject Null (Ho) f.) Calculate an effect size in terms of the variance account for (2)? Do you characterize it as being small, medium or large?
A medical research team is investigating the benefits of a new surgical treatment. One of the claims is that the mean recovery time for patients after the new treatment is less than the current treatment of 96 hours. We survey 25 patients to test this claim. State the hypotheses for the problem. If b = .0745, calculate and interpret power.
A simple random sample of 64 observations was taken from a large population. The sample mean and the standard deviation were determined to be 320 and 120 respectively. The standard deviation of the mean is?

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