A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 261 treatedsubjects experienced headaches (based on data from the manufacturer). Theaccompanying calculator display shows results from a test of the claim that less than 9%of treated subjects experienced headaches. Use the normal distribution as anapproximation to the binomial distribution and assume a 0.01 significance level tocomplete parts (a) through (e) below.d. What is the null hypothesis, and what do you conclude about it?Identify the null hypothesis.OA. Ho: p<0.09B. Ho:p> 0.09C. Ho: p=0.09D. Ho: p=0.091-PropZTestprop<0.09z = 0.542889594p=0.7063970895p=0.0996168582n=261Decide whether to reject the null hypothesis. Choose the correct answer below.A. Reject the null hypothesis because the P-value is less than or equal to the significance level, c.B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a.O C. Reject the null hypothesis because the P-value is greater than the significance level, c.O D. Fail to reject the null hypothesis because the P-value is greater than the significance level, a.

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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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The data from an independent-measures research study produce a sample mean difference of 4 points and a pooled variance of 16. If there are n = 8 scores in each sample, then what is the estimated standard error for the sample mean difference? Select one: O a. 4 O b. 16 O c. 128 O d. 2
A researcher wants to select a sample from a population with a mean (µ)= 60 and administer a treatment to individuals in the sample. He thinks the treatment will help improve scores. a. State the hypotheses for a one-tailed test. b. For a one-tailed test, would the critical region be located in the positive or right-hand tail of the distribution, or in the negative or left-hand tail of the distribution?
Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. Mother 64.0 66.0 63.0 62.0 66.5 66.0 65.0 60.0 67.0 63.0 Daughter 67.0 66.5 70.5 66.0 61.0 66.0 65.5 65.0 67.0 65.0 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Ha = 0 in. H₁ Hd 0 in. (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 10; 5; 13; 3; 11; 8; 6; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t = Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence…
A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
A researcher was interested in comparing the mean grade-point-average (GPA) of students at the University of Toronto Scarborough and Mississauga campuses. Independent random samples of 8 students from the Scarborough campus and 13 students from the Mississauga campus yielded the following GPAs. You can assume the data in each group follow a normal distribution. Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus different from the mean GPA of students at the Mississauga campus? A. What statistical test is most appropriate to answer this question? B. Identify the relevant assumptions and conditions. State how these have or have not been met. C. Write an appropriate null and alternative hypothesis for this question.
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
Chang et al. in 2005 examined the association between a family history of hematopoietic cancer on an individual’s risk of lymphoma in Sweden. In this study, the investigators validated self-report of a family history by searching for family members’ diagnosis in the Swedish Cancer Registry and examined whether the validity of self-report differed between cases and controls. Use the information contained in the tables below to answer the accompany questions: Assuming the following table displays the true distribution of exposure among cases and controls, construct a new table with misclassification of exposure if sensitivity and specificity are 60% and 98% among cases; and 38% and 99% among the controls respectively. True Distribution Cases Control Family history 56.7 37.1 No family history 1148.3 1189.9 Compute the true ORT using the information from the table above. Complete the observed or misclassified table below Observed / Misclassified…
Use the results from a survey of a simple random sample of 1064 adults. Among the 1064 respondents, 69% rated 13 themselves as above average drivers. We want to test the claim that more than 20 of adults rate themselves as above average drivers. Complete parts (a) through (e). A. No. Assuming quality of driving can be quantified, half of all adults must have driving quality less than or equal to the mean. B. Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean. C. Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean. O D. No. It is impossible to compare the quality of different adults' driving. b. If we use the same significance level to…
A researcher predicts that smoking cigarettes decreases a person's sense of smell. On a test of olfactory sensitivity (smell), the mean for non-smokers is 18.4. A sample of 12 people who smoke a pack each day have a sample mean of 16.25 (sample variance = 4.75). Complete the following statement: We ["", ""] the null. Smokers have ["", "", ""] in olfactory sensitivity compared to non-smokers.
In a study of birth order and intelligence, IQ tests were given to 18- and 19-year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and secondborn sons. The following data for 10 firstborn sons and 10 secondborn sons are consistent with the means and standard deviations reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. Can you conclude that the mean IQ of firstborn sons is greater than the mean IQ of secondborn sons? Let μ1 denote the mean IQ of firstborn sons and μ2 denote the mean IQ of secondborn sons. Use the α = 0.01 level and the P-value method with the table. Firstborn 128 101 128 112 121 105 122 98 106 108 Secondborn 121 125 110 107 114 93 80 94 91 83 Part(a): State the appropriate null and alternate hypotheses. H0: H1: This is a _____…

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