lation between police protection and A random sample of large population areas gave the following information about the number of local police and the number of local fire-fighters (units in thousands). Area 1 2 3 4 5 6 8 9 10 11 12 13 Police 10.1 13.0 3.3 2.9 7.1 8.3 14.9 5.5 11.1 2.7 7.4 5.3 10.7 Firefighters 3.9 3.8 0.8 1.2 0.7 2.0 4.9 2.4 4.7 0.9 2.8 3.1 3.5 Jse a 5% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of number of police and number of firefighters (a) Rank-order police using 1 as the largest data value. Also rank-order firefighters using 1 as the largest data value. Then construct a table of ranks

3). Two sample cases. A business major student is given a data set in Spread- sheet "Question 5": Sample 1 (x): 6.59 8.74 7.75 5.79 1.39 5.62 5.51 2.96 4.48 4.08 0.48 6.54 6.50 8.73 2.84 9.32 9.72 0.37 4.34 8.08 2.27 3.34 4.08 5.52 3.27 6.59 8.74 7.75 5.79 1.39 Sample 2 (y): 19.78 3.18 2.88 2.56 8.03 6.65 5.23 8.39 12.29 13.46 9.54 -0.36 1.62 3.54 -0.16 9.73 6.11 13.46 10.72 14.45 8.77 10.25 7.62 10.38 n=30, = x = 158.55, 21047.298, της 24, Συ= 188.11, Στ2 Σ Σ= = 2045.635. Assume that two populations are independent and normally distributed with means μ1, H2 and standard deviations 01, 02, respectively. (a) What is the point estimate of 1-2? What is the margin of error E associated with this estimate (use a = 0.05)? (b) Find 95% confidence interval for μ1 - 2. (c) Test Ho 1 μ2 = 0 vs H₁₁₂ <0 at a = 0.01.

1. Sample data about the listing price of a house is collected from Surrey, Guilford area in 2022 and the data is given below. Using the data answer the following questions: N 1 2 3 4 5 Listing Price 1049900 11 1229000 1049900 12 1230000 1050000 13 1075000 14 1298999 1299000 1299000 1075000 15 16 1398000 1078800 1179000 17 18 1398000 1399000 1188000 1188000 19 1449900 1225000 20 1450000 a. What is the mean listing price of a home? b. Generate appropriate numerical summaries for the listing price of a home, the sample standard deviation, etc. 6 7 8 9 10 Listing Price N Listing Price 21 1450000 22 1450000 23 1469900 24 1475000 25 1475000 26 1480000 1499000 27 28 1499000 29 1499233 30 1499900 N C. Use these summaries to develop a 95% confidence interval to estimate the mean listing price of a house in your selected city. That is, you will be using the sampling data you collected to estimate the population parameter (listing price). Make sure to show both your calculations and a final…

Listed below are times (in minutes and seconds) that a statistics instructor recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.10 significance level to test the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 Mile 2 Mile 3 3:18 3:25 3:31 3:14 3:30 3:31 3:15 3:25 3:35 3:20 3:26 3:28 3:16 3:24 3:27 First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. O B. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from populations with equal means. O C. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O D. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that…

Consider the following 3 independent sample statistics (from Exercise 11.2.1, pg 454): Sample 1: Mean=43, SD=3.74, n=4, Sample 2: Mean=44, SD=4, n=3, Sample 3: Mean=34, SD=3.92, n=4. Compute the SS(between) and the SS(within).    Type the three digit numbers, first representing the SS(between) and second the SS(within), separated by comma with no spaces; e.g., 350,278 SHOW THE STEPS I NEED A NEW ANSWER PLEASE

130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency 0 16 0.1231 16 1 21 0.1615 37 2 17 0.1308 54 3 15     4 15 0.1154 84 5 14 0.1077 98 6 16 0.1231 114 7   0.1231 130 a.  Complete the table (Use 4 decimal places when applicable) b.  What is the cumulative relative frequency for flossing 5 times per week? %

The following sample was obtained from the population. 13,7,6,12,0,4 a) Compute the sample mean.

The fill size for a small bag of peanuts distributed by a popular airline is 50 grams. The producer wishes to set up a set of control charts for this process and collects the data shown in the table. Item #1 Sample 1 54.5 2 50.6 3 51.1 4 52.7 5 51.7 6 51.1 7 54.0 8 53.2 9 51.9 What is the sample size? a. 4 Ob.9 c. 13 d. 45 Item #2 54.3 53.5 54.3 52.1 51.2 51.5 52.3 50.4 50.2 Item #3 53.8 53.2 50.4 51.3 54.7 54.7 54.7 53.4 50.2 Item #4 50.4 54.9 50.7 51.0 54.3 50.4 51.4 51.4 52.9

11)

A governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four categories. A simple random sample of 500 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. Category U.S.Proportion CaliforniaFrequency Murder 0.018 4 Forcible Rape 0.07 35 Robbery 0.390 218 Aggravated Assault 0.522 243   Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. (b) Find the P-value. Round the answer to at least four decimal places.