Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 13, a1 = 24, 81 = 7.55 Sample 2: n2 = 3, x2 = 21.9, s2 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
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- A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Calculate tobt by hand, using the mean and s.d data from JamoviA union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.14, and there is good reason to believe that this year's value is greater than last year's.The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.44, and computes the standard deviation of the sample to be$1.10. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1that should be used for the test? H0: H1: (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? ▼(Choose one) (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.14. Fill in the blanks to describe a Type I error. A Type I error…Now consider the textbook expense of all IUPUI students. The mean and variance of textbook expense of all IUPUI students are as follows: ? = $518.66 ?² = 15965.14 From the population of IUPUI students you take repeated samples of size ? = 92 and compute the sample mean textbook expense. 9 The margin of error for the middle interval which captures 95% of the means from samples of size ? = 92 is, a 20.45 b 22.98 c 25.82 d 29.01
- Body Mass Index is a measure of body shape. Duran et al. (2013) investigated BMI in Texas youth. In part of the study, they took BMI measurements on samples of 14 year old boys and girls in Texas (94 boys and 98 girls). Suppose they were interested in investigating a possible difference in body mass index between boys and girls at that age. Assume for the purposes of this question that the samples can be thought of as independent simple random samples from 14 year old Texans, and that all other assumptions of the Welch t procedure are met. Welch Two Sample t-test data: BMI by gender = 0.1038 t = -1.6348, df = 189.5, p-value alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -2.9517451 0.2764086 sample estimates: mean in group Boy mean in group Girl 23.30213 24.63980 Give an appropriate interpretation of the confidence interval found in the output. Your interpretation must relate to the problem at hand.Fill out the table please.Calculate the z-score for sample means (single-sample z-test) using this data set. You can assume that the population data are normally distributed, with mean of 10 and standard deviation of 5. A raw score of 5 and a raw score of 17. Calculate the z-scores.
- Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Regular 25 0.79237 lb 0.00433 lb H2 25 0.80377 Ib 0.00746 Ib a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda What are the null and altenative hypotheses? O A. Ho H = 2 H H #H2 Ho H2 C. Ho H1=H2 H HRegular Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet 25 0.79237 Ib 0.00433 Ib 25 0.80377 lb 0.00746 Ib a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O B. Ho H=2 Hi H1> H2 O A. Ho H1 H2 O D. Ho H H2 C. Ho: H1=2 H6Q4: Based on a sample of 100 individuals, the values 1, 2, 3, 4, 5 are observed with relative frequencies 0.2, 0.3, 0.1, 0.25, 0.15. Compute the mean, variance and standard deviation. (25 marks)Which of the following tests can be used with ordinal data? Select all that apply Independent samples t test One way anova median test mean test mann whitney u testPlease answer the question contained in the following pictureSEE 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. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: 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. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman