The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean μ. 1-Test μ<40 t = -0.283139 p=0.389120 x = 39.92 Sx=2.01779 n=51 What is the value of x ? r
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- Select the most appropriate response. It is claimed that the mean age of bus drivers in Chicago is 59.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? Question 2 options: There is not sufficient evidence to reject the claim µ = 59.3. There is sufficient evidence to reject the claim p = 59.3. There is not sufficient evidence to support the claim p = 59.3. There is sufficient evidence to support the claim u = 59.3.Please use the following information to answer question 9a & 9b: A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ = 49.2. 9a. Assuming that the sample standard deviation is s = 20, calculate r2 (MUST SHOW WORK FOR THIS PROBLEM). Note: You must provide calculations for the t-statistic, in addition to r2. 9b. Calculate Cohen's d to measure the size of the treatment effect (MUST SHOW WORK FOR THIS PROBLEM). Comparing your answers from 8 (a&b) and 9 (a&b), fill in the blank to properly describe how the variability of scores in the sample influence the measures of effect size. (8. A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ = 49.2. 9. A random sample of n = 16 scores is obtained from a…The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Ho:u = 10,000 steps versus Ha p # 10,000 steps where p = the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis? Ο μ-9,000 O p =9,500 O H = 10,000 Ο μ 10,500
- You have determined that in the past three years there 7 of the 14 were hand injuries. Previous projections had indicated that under normal conditions, only four hand injuries were expected and 12 other injuries were expected. The remaining injuries were due to other causes. Calculate the chi-square value and discuss whether there was a significant difference in observed data vs. the expected data. Also discuss how the process of hypothesis testing might prove helpful o = 7 hand injuries and 7 other injuriese = 4 expected hand injuries and 12 other injuriesQUESTION 9 In the case of over-identification: а. you can use the F-statistic in a test of overidentifying restrictions. you cannot use TSLS for estimation purposes. С. you must rely on your personal knowledge of the empirical problem at hand to assess whether the instruments are exogenous. d. OLS and TSLS yield the same estimate. е. All of the above. f. None of the above.A certain magazine stated that the mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.1 seconds. (a) If you want to set up a statistical test to challenge the claim of 4.1 seconds, what would you use for the null hypothesis? 04.1 O = 4.1 (b) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer Leadville (because of less oxygen). What would you use for the alternate hypothesis? OH 4.1 OM 4.1 O = 4.1 (c) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? OH> 4.1 O μ< 4.1 OH 4.1. (d) For each of the tests in parts (b) and (c), would the P-value area be on the left, on the right, or on both sides of the mean? O left; both O right; left O left; right O both; left
- Two independent samples have been selected, 7777 observations from population 1 and 5858 observations from population 2. The sample means have been calculated to be ?⎯⎯⎯1=13.4x¯1=13.4 and ?⎯⎯⎯2=11.3x¯2=11.3. From previous experience with these populations, it is known that the variances are ?21=27σ12=27 and ?22=29σ22=29. For the hypothesis test of ?0:(?1−?2)=1.8H0:(μ1−μ2)=1.8 and ??:(?1−?2)≠1.8Ha:(μ1−μ2)≠1.8 Use ?=0.04α=0.04. (a) Compute the test statistic. ?=z= (b) Find the approximate p-value?−?????=p−value= The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=1.8(μ1−μ2)=1.8. B. We can reject the null hypothesis that (?1−?2)=1.8(μ1−μ2)=1.8 and accept that (?1−?2)≠1.8(μ1−μ2)≠1.8.A random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8Use the following information for Questions 19-21. Teresa works at a medium-sized doctor's office and notices that appointment times are approximately normally distributed with mean 25 minutes and standard deviation 10 minutes. A patient complains that the wait times are too long and that her average wait time is much longer than 25 minutes. Teresa decides to conduct a test with a = 0.05 and the following hypotheses Ho: H=25 vs. Ha:μ> 25 Teresa randomly selects 25 appointments and records their times and finds their mean. The P-value of the test of the null hypothesis is O the probability the null hypothesis is false. O the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed. O the probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed. O the probability the null hypothesis is true.
- You are performing a right-tailed test.If α=.01α=.01, find the critical value, to three decimal places.zα =The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148