Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.3 15.7 15.2 15.6 15.4 15.1 15.7 15.7 Construct a 98% confidence interval for the mean amount of juice in all such bottles.
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- Answer the last questionThe EPA tests cars for city miles per gallon (mpg). For one model, a sample of 16 cars were tested for mpg, the results follow. 28 25.7 25.8 28 28.5 29.8 30.2 30.4 26.9 28.3 29.8 27.2 26.7 27.7 29.5 28 1) What is point estimate of the mean mpg?K Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2: -1.76 g/dLThe data set below represents the weights in grams of 10 randomly selected adult male fox squirrels from a forest. Assume the weights are normally distributed. 821 857 782 930 720 821 794 876 810 840 Find the sample mean and sample standard deviation Construct a 90% confidence interval for the population mean. Interpret the results from b.An independent measures study with n = 6 in each sample produces a sample mean difference of 8 points and Sm1-m2= 2. What is the value for the T statistic? A. 1 B. 2 C. 4 D. 4/-8You are interested in finding a 90% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 14 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 5 8 11 10 12 19 24 6 26 10 26 10 26 15 a. To compute the confidence interval use a distribution. b. With 90% confidence the population mean commute for non-residential college students is between and miles. c. If many groups of 14 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of commute miles and about percent will not contain the true population mean number of commute miles.Use technology and the given confidence level and sample data to find the confidence interval for the population mean μ.Assume that the population does not exhibit a normal distribution. Weight lost on a diet: 90% confidence n=51 sample mean=3.0kg s=5.4kg What is the confidence interval for the population mean?Q2. Use the sample data below to test the hypotheses H: P = P2 = P3 H: Not all population proportions are equal where pi is the population proportion of Yes responses for population i. Use a 0.1 level of significance to answer the following questions. Populations Response 1 2 Yes 150 140 100 No 100 140 100 (A). What is the test statistic value? (B). Observing the x table, what is the possible range of values of the p-value? [Multiple choice with single answer] (a) 0.01Determine whether the following statements are True or False: If we increase the confidence level C, then the width of the CI decreases, i.e., the CI becomes narrower. (Hint: think about what happens to the margin of error m) Suppose the mean of a population µ = 100. If we found that the margin of error is m = 2 for level of confidence 98%, then we can be 98% confident that a sample mean (computed from a sample of the same size used to compute m) is in the interval (98, 102).Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H. = 0; a 0.05. Sample statistics: d = 3.2, s, =8.49, n=9 Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho: Ha 0 H: Hg =0 O A. Ho: Ha s0 H: Hg>0 O D. Ho: Ha>0 H: Hg sO OC. H,: Ha <0 Ha: Ha 20 O E. H, Ha 20 F. Ho: Ha=0 Ha: H #0 The test statistic is t= (Round to two decimal places as needed.)SEE 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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