A random sample of 10 independent healthy people showed the body temperatures given below (in degrees Fahrenheit). Test thehypothesis that the population mean is not 98.6 °F, using a significance level of 0.05.98.1 98.8 99.0 96.4 98.8 98.1 97.9 99.1 98.4 97.4 DDetermine the null and alternative hypotheses. Choose the correct answer below.A. Ho: μ< 98.6B. Ho: μ# 98.6H₂: μ = 98.6Ha: μ = 98.6D. Ho: μ = 98.6Ha: μ#98.6Check the conditions to see whether the test statistic will follow a t-distribution.Find the test statistic.E. Ho: μ> 98.6Ha: μ = 98.6t=(Round to two decimal places as needed.)Find the p-value.The sample is random and the observations are independent. The distribution of the sample isapproximately Normal.p-value =(Round to three decimal places as needed.)Interpret the results of the test.O C. Ho: μ = 98.6Ha:μ< 98.6Since the p-value isgreater than the significance level,the population mean is not 98.6°F at a significance level of 0.05.F. Ho: μ = 98.6Ha: μ> 98.6reject Ho. There is insufficient evidence to conclude that

Solution-: Given: μ0=98.6,n=10,α=0.05 We want to (a) Identify the null and alternative hypothesis…

Answered: A random sample of 10 independent…

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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Assume that a simple random sample has been selected and test the given claim. Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g. 3.5 7.0 6.0 5.5 20.0 8.0 12.0 21.5 11.0 17.0 Identify the null and alternative hypotheses for this test. A. H0: μ=14 μg/g H1: μ<14 μg/g B. H0: μ<14 μg/g H1: μ=14 μg/g C. H0: μ=14 μg/g H1: μ>14 μg/g D. H0: μ=14 μg/g H1: μ≠14 μg/g Click to select your answer and then click Check Answer.
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 66 80 50 53 O Ho: Psun PMon PTue #Pwed * PThu * PFri * Psat * # # H₂: All proportions are equal. 48 (a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance. State the null and alternative hypotheses. Ho: : Not all proportions are equal. H₂: Psun * PMon * PTue * Pwed * PThu * PFri * Psat */ OH: Not all proportions are equal. Ha: Psun = PMon=PTue=Pwed=PThu = PFri = Pat = H₂ : Not all proportions are equal. = Ho: Psun PMon=PTue = Pwed=PThu Fri Sat = = 7 55 68 Find the p-value. (Round your answer to four decimal places.) p-value = Find the value of the test statistic. (Round your answer to three decimal places.) X State your conclusion. O Reject…
Listed below are the lead concentrations in µg/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 µg/g. Assume that the sample is a simple random sample. 9.5 9 17 2.5 9.5 13 13 13 22.5 13 nts ED OC. Ho: p= 15 µg/g OD. Hop=15 µg/g H₁: μ< 15 µg/g H₁ μ#15 µg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.). State the final conclusion that addresses the original claim. 15 µg/g. Ho. There is evidence to conclude that the mean lead concentration for all such medicines is Time Remaining: 01:24:16 Next Privacy Policy | Permissions | Contact Us I Terms of Use S ENG O US ess Less Library esources ptions 5 pis Copyright © 2022 Pearson Education Inc. All rights reserved ▬▬ see sc see sc see sco see sco
A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug Administration (FDA) believes that the manufacturer's claim is too low and decides to test the manufacturer's claim at a 5 %. A random sample of 900 women who use the manufacturer's pill shows that 103 suffer side effects. The p-value of this test is: O a. 0.1144 Ob. 0.0644 O C. 0.1000 Od. 0.0743 e. 0.0144
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The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median weight = 5.670 g H₁: Median weight 5.670 g More Info OB. Ho: Median weight ≤ 5.670 g H₁: Median weight = 5.670 g O D. Ho: Median weight = 5.670 g H₁: Median weight # 5.670 g 0 Post-1964 Quarters 5.5863 5.5764 5.6582 5.5649 5.5844 5.7402 5.7367 5.6057 5.5995 5.6165 5.6448 5.5974 5.6609 5.6363 5.6352 5.5986 5.5797 5.5501 5.6238 5.6462 5.6423 5.7021 5.5481 5.7078 5.6055 5.5324 5.7417 5.6776 5.5924 5.5691 5.5666 5.7287 5.6312 5.6017 5.6626 5.6436 5.6634 5.6132 5.5441 5.6363 -
A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 F = 6.5 7.5 6.5 5.5 7.5 11.5 P-value = 9.5 5.5 54 |O Ho: B1 = B2 =1 40 62 55 56 62 42 40 59 51 50 H₂: at least one of B₁ or H₂: at least one of B₁ or Home-Range Size (km²) Ho: At least one of ₁ or H₂: B₁ = B₂ = 1 43.0 46.7 57.3 35.5 62.1 = weight. (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors X₁ = age and X2 (Round your numerical values to four decimal places.) ŷ 33.9 (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. ⒸH₁: B₁ = B₂ = 0 39.6 32.2 57.2 24.5 68.6 B₂ is not 0. ₂ is not 1. O Ho: At least one of ₁ or ₂ is not 0. H₂: B₁ = B₂ = 0 ₂ is not 1. Calculate the test statistic. (Round your answer to two…
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A random sample of 10 independent healthy people showed the following body temperatures (in degrees Fahrenheit): 98.5, 98.2, 99.0, 96.3, 98.3, 98.7, 97.2, 99.1, 98.7, 97.2 Test the hypothesis that the population mean is not 98.6°F, using a significance level of 0.05.
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 75 88 48 77 50 33 69 72 78 59 73 82 100 101 75 D S Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: μ= 60 seconds OB. Ho: 60 seconds H₁ μ 60 seconds H₁: #60 seconds Determine the test statistic. lete (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)

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