The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. 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. Complete parts (a) through (c). September 68 71 57 81 68 56 65 64 71 April 64 69 58 82 69 58 68 68 77 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. 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 April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho Hd = 0 kg 0 kg H₁ Hd (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)

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The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Midterm: 80, 78, 85, 82, 79, 79, 78, 86, 80, 84, 78, 84, 80, 84, 81, 78, 81, 82, 78, 84 Final: 81, 88, 68, 69, 69 81, 82, 86, 76, 71, 72, 68, 77, 86, 68, 83, 84, 71, 81, 87 z-score for midterm: 1.857 z-score for final: 1.181 Based on the z-scores calculated above, which of Jaymes's grades is more unusual, the midterm grade or the final exam grade? Select the correct answer below: A. The absolute value of the z-score for the final exam grade is greater than for the midterm grade, so the final exam grade is more unusual. B. The absolute value of the z-score for the midterm exam grade is less than for the final grade, so the midterm grade is more unusual. C. The absolute value of the z-score for the midterm exam grade is greater than for the final grade, so the midterm grade is more…

Treat the dataset as your bag of peanut M&M’s (a simple random sample). Count the number of orange M&M’s and the total number of M&M’s in your bag. Then determine the proportion of your M&M’s that are orange. Number of orange M&M’s: 13 Total number of M&M’s: 65 Proportion of orange M&M’s: 0.2   Question below is according to this.

A government agency computed the proportion of U.S. residents who lived in each of four geographic regions in a particular year. Then a simple random sample was drawn of 1000 people living in the United States in the current year. The following table presents the results. Region Past YearProportion ObservedCounts Northeast 0.171 150 Midwest 0.245 235 South 0.357 398 West 0.227 217 Send data to Excel Can you conclude that the proportions of people living in the various regions changed between the current year and the past year? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator.   What the P value?

Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to the nearest tenth. (If there is more than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.) 39, 30, 6, 25, 9, 21, 28, 10 mean      median

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.   Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league?   234     257     226     278     237     265     290     247     257     307     265          a. Find the mean.   The mean is enter your response here ​pound(s). ​(Type an integer or a decimal rounded to one decimal place as​ needed.)

Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places. u = 23 and o = 7; n = 72; ī = 22

These data are the number of on-campus burglaries reported in a given year for nine western Pennsylvania universities. 16 10 4 16 9 8 12 5 16 For the above data set, find the mean, median, midrange, and mode. Round to one decimal place, if necessary.