The Mars company claims that its Snickers bars contain, on average, at least 21 peanuts. •Suppose, in fact, the bars contains only 19 peanuts on average, with a population variance of 4 peanuts. •For an appropriate hypothesis test with α=.05, what is the power of a test of the company’s claim using a sample size of 11
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- A scientist predicts engineers are more creative than physicians. On a standard creativity test, the population mean for physicians is 40.5. For a sample of 25 engineers, the sample mean = 42.1 ( sample variance = 15.52) using the same test. What is the value of tcrit? b. What is the value of tobt? c. With p = 0.05, do we accept or reject the null hypothesis?If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that p = 15? M = 38 and small sample variance O M = 38 and large sample variance O M = 20 and small sample variance M = 20 and large sample varianceA hotel chain wants to determine whether there is a difference in the length of stays at two of its different brands of hotels. A simple random sample of 100 stay lengths was taken for each hotel brand. These data are shown below. Assume that the variances are not equal. a) State the appropriate null and alternative hypotheses. b) Based on these sample data and a 0.01 level of significance, what conclusion should be made about the average length of stay at these two hotel chains? Click the icon for sample data on the length of stays at these hotel chains. a) State the appropriate null and alternative hypotheses. Let μ1 be the population mean length of stay at hotel brand 1, and let μ2 be the population mean length of stay at hotel brand 2. A. H0: μ1−μ2=0 HA: μ1−μ2≠0 Your answer is correct. b) Calculate the value of the test statistic. The test statistic is (Round to two decimal places as needed.) (The space separates the column values)…
- We observe two groups of random variables: A group: X1, · ..., Xna are NĄ independent random variables with mean ua and variance 10. B group: X1, ... , Xng are ng independent random variables with mean uB and variance 40. You are interested in estimating 0 = HA - HB. (a) group, and īB, the sample mean of the B group. Come up with an unbiased estimator of 0 using A, the sample mean of the A 10 and nB (b) from part (a)? Say nA = 10. What is the mean squared error of your estimator || (c) Suppose you can choose from the following options: • NA = 20, nB = 20 • NA = 60, nB 20 || • nA 20, nB 40 Which one would result in the best estimate?The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2140 pounds with a variance of 33,672.25. A consumer protection agency claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis Ho and the alternative hypothesis H, they would use for this test. Ho: 0 H: 0 Họ: OThe records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0016. The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0016. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: o = H: 0.0016 OOne sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?A student at a university wants to determine if the proportion of students that use iPhone's is less than 0.38. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.38, Alternative Hypothesis: p < 0.38. If the student randomly samples 29 other students and finds that 12 of them use iPhone's, what is the test statistic and p-value?4) We are running a hypothesis test to see if weight of African zebras is significantly different than that of Arabian horses. We assume weight in both populations is normally distributed and both populations have the same population variance in weight which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. Our sampling has 8 African zebras and 6 Arabian horses. We find 3.01 as the absolute value of our standardized test statistic for our sample data. Is this data significant at the .02 level of significance? NONE OF THE OTHERS NO YESThe breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2140 pounds with a variance of 32,761. A consumer protection agency claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis Ho and the alternative hypothesis H₁ they would use for this test. Ho: H₁: 0 μ OSO 0=0 X X Р ☐#0 S O0 020The U.S. Postal Service (USPS) is faced with the issue of a large portion of mail (letters and packages) that cannot be delivered because of an illegible or non-existent address. USPS would like to find out if there is any evidence that the proportion of undeliverable mail has significantly decreased since last year when it was 6%. Which of the following are the correct null and alternative hypotheses for this test? Select one: a. Ho: p = 0.06 versus Ha:p> 0.06 b. Ho: p 0.06 ge Next page Moodle Accessibility Specification Coastal Carolina University (CCU) does not discriminate on the basis of race, color, religion, sex, sexual orientation, genc national origin, age, genetic information, mental or physical disability, or status as a disabled or Vietnam-era veteran in it programs, activities or employment practices. For more information related to discrimination, please contact Title IX, Titl office phone 843-349-2382: FEN email eenarnastal adur or thel Dent of Education office for…You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2Ha:μ1<μ2Ha:μ1<μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n1=23n1=23 with a mean of ¯x1=59.5x¯1=59.5 and a standard deviation of s1=20.7s1=20.7 from the first population. You obtain a sample of size n2=24n2=24 with a mean of ¯x2=76.1x¯2=76.1 and a standard deviation of s2=5.9s2=5.9 from the second population. What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample? For this calculation, use .p-value = Round to 4 decimal places. The p-value is... less than (or equal to) αα greater than αSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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