If we are testing for the difference between the means of 2 independent populations with samples of n1=20 and n2=20, the number of degrees of freedom is equal to O 18 O 19 O 38 O 39
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- The marketing manager of a large multinational corporation is concerned that some salespersons perform very well and others quite poorly. To help analyze the problem he draws a random sample of 20 salespersons, determines their commission incomes, and calculates the following statistics: x = $37.2, and s = $7.6. Use a 0.05 to test whether the population variance exceeds $35. Ho: o² ≤ 35 Ha: o² > 35 (A) Reject H。 if x² ≥30.1435 (B) Reject H₁ if x² ≥32.8523 (C) test statistic is 31.355 (D) Conclusion: Ho cannot be rejectedBefore the semester began, Professor Keithley predicted that 15% of hisphilosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5%an F. At the end of the semester, 14 of Professor Keithley’s philosophy studentsearned an A, 19 a B, 12 a C, 5 a D, and 2 an F.Use the Chi-Square test and a 0.05 level of significance to determine if ProfessorKeithley’s predicted percentages were accurate. (State your null and alternativehypothesis, find the critical values and test statistics, make a decision, and writea conclusion based on your results).O IV. None of these QUESTION 2 Question 11. (HEALTH IS WEALTH) A health conscious squirrel joined a gymnasium to run a treadmill in the month of April. At the end of the month, she noted the average mileages for a random sample of seven days is: x = 4.5 miles. She is worried to know how many miles should she run today so that her average mileage for 8 days becomes 5 miles. QUESTION 3 Question 8
- 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 2596 92 119 127 93 123 112 93125 95 125 117 97 122 127 88A 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 5094 109 99 96 110 88 11079 115 100 89 114 85 96A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.1 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value Find (or estimate) the P-value. P-value > 0.250 0.125 < P-value < 0.250 0.050 < P-value < 0.125 0.025 < P-value < 0.050 0.005 <…A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.1 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value Find (or estimate) the P-value. P-value > 0.2500.125 < P-value < 0.250 0.050 < P-value < 0.1250.025 < P-value < 0.0500.005 <…
- A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.1 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value Find (or estimate) the P-value. A. P-value > 0.250 B. 0.125 < P-value < 0.250 C. 0.050 < P-value < 0.125 D. 0.025 < P-value <…In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 n2 = 150 You decide to run a test for which the alternative hypothesis is H1: p1 > p2. Find the appropriate test statistic for the test2. Due to increasing fuel prices a taxi company tested a new technology that is said increase fuel efficiency. They randomly chose 12 cars and measured how many kilometers travelled per liter with and without the technology. The results were given below. Is there sufficient evidence that the technology effectively increased fuel efficiency? Use a-0.1. CAR WITHOUT WITH TECHNOLOGY TECHNOLOGY 15 18 2 16 16 3 17 18 4 17 19 17 17 6. 18 15 7 18 18 18 20 9 17 20 10 16 15 11 18 20 12 17 16 In words, define the random variable X1 = b. Но: Ha: d. The level of significance is e. Determine the test statistic using the data (show solution). f. Provide the decision rule of the test. g. Decision: h. Write a clear conclusion using the format: a. and X2 = с. A i. sufficient evidence to reject the null hypothesis that G at .
- A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)A sample of n=25 scores is obtained from a population with u=70 and o=25. If the sample mean is M=75, then what is the z-score corresponding to the sample mean?In the fictional city of Statisticsville, last year residents spent an average of $12 per month using grocery pickup services (where you purchase groceries online and then drive to the store to pick them up). A journalist wants to know if people today in the (fictional) city of Statisticsville are spending more per month on average compared to last year. Her hypotheses are: Hoi u =12 HA: H> 12 She selects a random sample of 89 people at a large public space in Statisticsville and finds their average spending per month on grocery pickup fees is $12.19 with a standard deviation of $4.15. All necessary assumptions and conditions have already been checked and were met. 1) What are the degrees of freedom (DF) for the t-distribution for performing this hypothesis test? 88 (Enter an integer answer.) 2) What is the value of the t-statistic for performing this hypothesis test? (Round your answer to 2 decimal places.) 3) Which of the following statements about the value is most appropriate? (You…
