2) Find d. Assume the samples are random and dependent, and the populations are normally distributed. 7.9 4.9 6.1 A B 5.0 6.0 7.4 6.3 6.2 5.0 7.5

Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume the samples of size n = 2 are randomly selected with replacement from the population of 2, 4, and 9. Listed below are the 9 different samples. Complete parts a - c, 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9. Find a variance of each of the 9 samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. (Type an integer it a fraction. Use ascending order of the sample variances).

...The data represents the amount of money students. This is a random (Rands, R) spent on extra-curricular activities for University sample for the 8th week of first trimester. 12,87 17,5 6,29 14,59 10,05 19,25 6,74 11,38 13,45 18,75 8,1 3,25 9 9,9 16,01 8,31 6,5 13,8 9,87 4,95 9,5 7,14 10,41 12,8 32,09 7,25 4,32 14,73 8,59 20,35 13,57 9,18 8,84 18,24 11,79 16,91 6,48 12,93 7,25 13,02 6,5 9,65 22,68 12,45 Note 1: As a researcher, and for a better statistical measurement in reflection of the conventional steps to determining the frequency distribution table, you decide to reduce the lowest data observation by 1.25 and increases the highest by 1,91. This to observe a comprehensible data Range. 27,43 5,74 17,95 24,1 Draw accumulative frequency and histogram for this data with 7 class/ intervals 6,63 15,9

Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.

Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 a. Find the value of the population median. 4 (Type an integer or a decimal. Do not round.) b. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median 1 Probability ▼ ▼ ▼ ▼ L ■ (Type integers or simplified fractions.)

A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory, the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for each movie. The results of the survey are as follows. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) n x S Drama 14 150 50 Comedy 16 120 10 Copy Data Calculate a 99 % confidence interval for the difference in mean revenue at the box office for drama and comedy movies. Let dramas be Population 1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places.

A movie theater company wants to see if there is a difference in the average price of movie tickets in Chicago and New York City. They sample 20 ticket stubs from Chicago and 25 from New York City. Test the claim using a 1% level of significance. Assume the population variances are unequal and that movie ticket prices are normally distributed. Give answer to at least 4 decimal places. Chicago 9 9 7 11 10 10 8 69 6 0 10 11 11 10' 12 10 9 10 12 8 8 New York City 10 14 10 13 9 14 12 14 12 9 11 12 Mean Variance Observations Hypothesized Mean Difference 284 Test Statistic = p-value = 8 t-Test: Two-Sample Assuming Unequal Variances 14 12 11 13 9 12 7 Check Appver 11 12 14 12 6 Chicago 9.5 2.4736842105263 20 0 df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Choose the correct sign for the alternative hypothesis. 42 Ho: 41 = 42 Η; με ον 112 Based on the hypotheses, find the following: -3.0383993175306 0.00203988 2.4185 0.00407976 2.6981 New York City 11.24…

The data to the right are from independent simple random samples from three populations. Determine each of the following. Sample 1 Sample 2 Sample 3 3 3 3 a. SSTR b. MSTR c. SSE d. MSE e. F 4 2 1 8 a. SSTR= (Round to three decimal places as needed.) b. MSTR = (Round to three decimal places as needed.) c. SSE = (Round to three decimal places as needed.) d. MSE = (Round to three decimal places as needed.) e. F = (Round to three decimal places as needed.)

If two large random samples are drawn from two populations, each having a mean of $100, the relevant sampling distribution of their difference has a mean of a. 200 b. The Sum of the 2 Sample Means C. 0 D. The difference between the two sample means.