A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. X1: Rate of hay fever per 1000 population for people under 25 99 89 119 129 94 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. X2: Rate of hay fever per 1000 population for people over 50 93 108 66 66 110 88 110 79 115 100 89 114 85 96 (i) Use a calculator to calculate x1, S1, x2, and s2. (Round your answers to two decimal places.) X1 = S1 = X2 = S2 =

The following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: European 2012 2022 African Asian 308 58 52 364 100 58 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] Other 22 38 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual…

What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):

We asked UST employees to tell us how many megabytes of memory (RAM) they have on their computer. WWe would like to test to see if the mean amount of memory is the same for three different academic departments. We have the memory amounts for six faculty members' machines in the three departments shown below. Dept. 1 Dept. 2 Dept. 3 1 2048 4096 4096 2 2048 2048 4096 3. 2048 2048 8192 computer 4 2048 4096 8192 2048 2048 4096 6. 2048 8192 4096 Here is the ANOVA table: Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 34952533 17476267 XXX 0.020 Error XX 51030699 3402047 Total XX 85983232 Calculate the value of the F test statistic and enter here:

A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1:   Rate of hay fever per 1000 population for people under 25 97 91 122 130 94 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2:   Rate of hay fever per 1000 population for people over 50 94 111 100 95 110 88 110 79 115 100 89 114 85 96   What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)

A random sample of 25 Berkeley College students was asked, “How many hours per week typically do you work outside the home?” Their responses were as follows: {0, 0, 15, 20, 30, 40, 30, 20, 35, 35, 28, 15, 20, 25, 25, 30, 5, 10, 30, 24, 28, 30, 35, 15, 15} a. Find the mean, the median and the mode of hours worked outside the home for the sample data. Show all your work to justify your answer. b. Use the above data to complete the following table summarizing the number of hours worked outside the home. Express the relative frequency as a percent. Class  Tally   Frequency    Relative Frequency  0-10 11-20 21-30 31-40 Total c. Find the five-number summary of the hours worked outside of the home by the 25 Berkeley College students.

A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1:   Rate of hay fever per 1000 population for people under 25 100 92 122 127 93 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2:   Rate of hay fever per 1000 population for people over 50 93 112 100 97 111 88 110 79 115 100 89 114 85 96   State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 > ?2; H1: ?1 = ?2     H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 = ?2; H1: ?1 < ?2 What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with known standard deviations.   The Student's t. We assume that both population distributions are approximately normal with known standard deviations.       The Student's t. We assume that…