Machines at a factory are supposed to dispense 250 grams of sugar per pack. Arandom sample of sugar packs is taken from the factory, and their contents (ingrams) are measured. Following are the sample data:247247247248249250250250251251Is there sufficient evidence to conclude that the machines do not conform tothe indicated sugar amount? Use 0.10 level of significance.Which case for hypothesis testing must be used?( Select ]What is the alternative hypothesis? ( Select ]What is the value of the test statistic? [ Select ]What is/are the critical value/s? Select ]What is the appropriate conclusion? [Select

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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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Create a research hypothesis that would be answered using either a z- or a t- test. Include the following: Introduction: Brief description of the study including the purpose and importance of the research question being asked. What is the null hypothesis? What is the research hypothesis? Participants/Sampling Method: Describe your sampling method. What is your sample size? Who is your population of interest? How representative is the sample of the population under study? Data Analysis: Describe the statistical analysis. What is your variable? What is its level of measurement? What is your alpha level? Results & Discussion: Did you reject the null hypothesis? What information did you use to lead you to your conclusion? Was your p value greater than or less than your alpha? NOTE: You can just make up numbers, but include your made-up p value
A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? 670 603 1014 534 501 662 What are the hypotheses? . H μ 1000 hic Hi μ< 1000 hic Hi με 1000 hic What is the test statistic? Z = (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. - ( fail to reject/reject ) HO. There is _( sufficient/not sufficient) evidence to support the claim that the sample is from a population with a mean less than 1000 hic. What do the results suggest about the…
A professor at the University of Wisconsin is interested in studying the relationship between officer’s gender and citizen complaints. The professor gathered information on 55 officers randomly sampled from the Chicago Police Department. Using the data collected below apply the five steps of the hypothesis testing process to answer the research question: is there a relationship between gender and citizen complaints. Use a two-tailed test with an alpha level of 0.05 Male Officers Female Officer n = 35 n = 20 M = 10.57 M = 8.34 SS = 901.34 SS = 794.34 Step 1. State hypotheses and alpha level. Step 2. Locate critical region. Step 3. Collect data and calculate test statistic.
Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 74 bpm. Use a 0.01 significance level. E Click the icon to view the pulse rate data. Pulse Rate Data Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Pulse Rate (bpm) O A. Ho: H= 74 bpm H1: H 74 bpm 57 35 104 86 ОС. Но: и» 74 bpm H1: µ<74 bpm O D. Ho: H=74 bpm H1: µ+74 bpm 97 101 62 49 59 73 Determine the test statistic. 69 45 104 42 |(Round to two decimal places as needed.) 52 105 99 36 Determine the P-value. 74 54 (Round to three decimal places as needed.) 105 60 56 82 State the final conclusion that addresses the original claim. 88 75 52 59 V Ho. There is evidence to conclude that the mean of the population of pulse rates for adult females is V 74 bpm. 82 104 97 76 76 47 97 74 63 52 93 98 104 53 35 35 100 39 Click to select your answer(s). 58 41
A two-proportions z-test is to be performed using the P-value approach. Use the given sample data to find the P-value for the hypothesis test. x₁ = 11, n₁ =200, x₂ = 8, n₂ = 100; Ho: P₁ = P₂, H₂: P₁ P₂, α=0.01 O A. 0.1011 B. 0.3844 C. 0.4010 O D. 0.2005
Perform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample proportion is 0.1 based on a sample size of 95. Use a 10% significance level. The critical values of the test statistic that divide the rejection and non-rejection regions are what value?
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 258 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 55 62 117 Not Vaccinated 70 71 141 Total 125 133 258 Copy Data Step 1 of 8: State the null and alternative hypothesis.
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and Ha. Choose the correct answer below. O A. Ho: P1 = P2 Hạ: P1 # P2 O B. Ho: P1 P2 Ha: P1 SP2 D. Ho: P1 sP2 F. Ho: P1 2 P2 Ha: P1 > P2 Ha: P1 1.96 ОС. z2 -1.64 D. z 1.64 E. z - 1.96 (c) Find the standardized test statistic.
Given the data below, what is the calculated test statistic? Placebo Medication 1 Medication 2 3 4 9 1 3 7 3 5 8 2 5 11 4 4 9 3 SS1 = 5.33 SS2 = 2.8 SS3 = 8.8 T1 = 16 T2 = 21 T3 = 44 n1 = 6 n2 = 5 n3 = 5 ∑X2 = 53 Do you reject the null? Yes No Was there a treatment effect for type of medication on number of anti-anxiety symptoms? Yes No
A sample is selected from a normal population, and resulting data are as follows: 45.2, 51.5, 49.4, 48.9, 52.4, 40.0 Does this data suggest that the population mean is greater than 50? Use a = 0.05. a. State the appropriate hypotheses.. b. Calculate the value of the test statistic. c. Determine the rejection region. d. What is your conclusion? Interpret your conclusion.
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ = 40; x = 0.05; o = 3.96. Sample statistics: x= 38.5, n = 53 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: μ> 40 H₂:μ = 40 Ho: μ = 40 H₂:μ>40 O C. Ho: μ<40 H₂:μ=40 O E. Ho: μ = 40 H₂: μ#40 12 B. OD. Ho: p=40 Ha: μ<40 OF. Ho: μ#40 Ha: H=40
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.

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