You wish to test the claim that the average score for females is less than the average score for males.  Both populations are normally distributed. You obtain the following two samples of data.   Female grades Male Grades 17.5 52.4 46.4 74.5 57.1 63 56.7 36.8 38.8 68.2 27.3 29.7 62.3 48.1 51.2 73.8 60 48.6 37.2 60.7 73 39.4 40.7 51.1 36.6 70.8 70 51.1 54.4 58.4   Use the 0.10 alpha level to answer the following. What is the critical value for this test? (Report answer accurate to three decimal places.) t critical value =  What is the test statistic for this sample? (Report answer accurate to three decimal places.) t test statistic =

The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Private Colleges Public Colleges 53.8 42.2 45.0 32.3 44.0 20.3 22.0 28.2 15.6 24.1 28.5 30.6 46.8 36.8 49.5 43.0 22.8 25.8 18.5 25.6 14.4 21.8 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places.) sample mean 42.40 v thousand sample standard deviation $ 7.32 thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.) sample mean $ 22.30 thousand sample standard deviation $ 4.53 thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means?…

Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students. The scores are given. Complete parts (a) through (c) below. 44 43 32 17 32 43 38 15 58 46 54. 14 (a) Find the mean and median of the data. The mean is 27 34 41 53 31 23 GRAPE (Round to three decimal places as needed.) 48 31 35 28 33 25 28 53 34 28 16 37 19

What is one indication that there are paired samples in a data set? Choose the correct answer below. O A. Knowing the value that a subject has in one group gives one no information about the value in the second group. OB. Each observation in one group is coupled with one particular observation in the other group. OC. The researcher is comparing two populations. O D. The researcher is working with two distinct groups in the data set.

You may need to use the appropriate technology to answer this question. Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight. Suppose the following sample data show the number of calories burned during 40-minute workouts for three different activities.   Swimming Tennis Cycling 403 420 390 375 490 255 430 445 300 405 415 407 422 525 263   Find the value of the test statistic.   Find the p-value. (Round your answer to three decimal places.)

Here is a sample data set that appears to be nearly normal (as suggested by the histogram). 85.4 63.6 85.7 85.6 92.4 89.8 84.2 82.2 88 76.5 87.6 79 61.4 88.6 89.4 95 96.4 76.3 92.4 79.8 82.2 86.5 76.7 90.7 85.4 94 75.8 79.8 92.4 74.3 65 81.4 75.5 76.7 76.5 84.2 78.6 82.9 84.7 74.9 84 91.2 84.4 68.2 76 75.8 74.6 77.3 79.8 69.2 82.9 74.6 71.7 76.7 80 82.2 91.8 74.9 72.7 74.8 84 80.6 67.6 71.7 79.6 81.2 78.2 83.7 82.2 71.4 What is the mean of this data set? (Report answer using the rules suggested in class: 1 more d.p. than the data.)M=What is the standard deviation of this data set? (Report answer using the rules suggested in class: 2 more d.p. than the data.)SD=

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Question: Why is the value that you calculated for the mean different from the mode and median? Data table: PLAYER'S NAME POINTS PER GAME in 21-22 season Bam Adebayo 19.1 Caleb Martin 9.2 Chris Silva 2.9 Dewayne Dedmon 6.3 Duncan Robinson 10.9 Gabe Vincent 8.7 Haywood Highsmith 2.3 Javonte Smart 5 Jimmy Butler 21.4 KZ Okpala 3.7 Kyle Guy 3.9 Kyle Lowry 13.4 Marcus Garrett 1.1 Markieff Morris 7.6 Max Strus 10.6 Mychal Mulder 7 Nik Stauskas 5.5 Omer Yurtseven 5.3 P.J. Tucker 7.6 Tyler Herro 20.7 Udonis Haslem 2.5 Victor Oladipo 12.4

The accompanying data below represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine. 32.7 35.7 38.0 38.7 40.2 42.1 34.1 36.4 38.1 39.1 40.6 42.9 34.5 37.4 38.3 39.5 41.4 43.4 35.6 37.7 38.6 39.6 41.6 48.9 Compute the​ z-score corresponding to the individual who obtained 37.4 miles per gallon. Interpret this result. The​ z-score corresponding to the individual is ____ and indicates that the data value is _____ standard​ deviation(s) above/below the mean/median (Type integers or decimals rounded to two decimal places as​ needed.)