The waiting times for customers to receive their food were recorded from two different fast-food branches (A & B). A B 20 21 22 26 19 24 17 17 23 18 16 21 15 19 21 19 20 22 18 22 The owner of these two branches wants to compare the waiting time between them. f) Perform the test using a t-test and explain all parameters.
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- An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.05 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge 24 12 12 30 Hughes 36 30 12 18 24 12 24 30 Judge 36 36 24 24 24 24 18 12 30 24 18 30 Wilson Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.31An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.10 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge Hughes 24 30 + Judge 18 18 36 30 Wilson 12 36 36 Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :μ₁ = 1₂ Ha: ₁ 12 24 M₂ 12 30 36 18 36 36 24 12
- A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is (3 dec places).The distribution is (examples: normal / t12 /…A researcher is interested in whether Drug A affects appetite in babies aged below 5 years. Sixteen babies were selected of which 8 were given Drug A and 8 were not given any Drug. The children appetite levels were measured on a scale from 1 to 25 (1=Low Appetite, 25=High Appetite). The Table below presents the results of the findings: No Drug Drug A 15 10 22 15 18 11 24 22 19 18 22 14 19 16 23 19 a) With reasons, determine whether the data is: i. Continuous/Categorical ii. Qualitative/Quantitative iii. Measurement scale (Nominal, Ordinal, Ratio, Interval) b) What is the line of best fit?
- There is some research to indicate that different dog breeds differ in emotionality. To consider these differences, a researcher administers a standard test of emotionality to 3 breeds of dogs (German Shepherd, Cocker Spaniel, and Chihuahua), with 4 dogs from each breed being tested. Higher scores mean higher emotionality. The results for the emotionality test scores appear below. Using the 7 steps of hypothesis testing, test the idea that there are differences in emotionality based on dog breed using α = .05 Emotionality Scores for Dogs German Shepherd Cocker Spaniel Chihuahua 6 0 10 1 4 12 7 0 9 2 0 8 T = 16 T = 4 T = 39 Gt = 59 N = 12 ∑x2 = 495 4. Decision Rule (Be sure to include your critical value) 5. Do your calculations 6. Make your decision 7. State your results in a sentence. Report your results in APA style including a measure of effect size. Be sure to include descriptive statistics (M). 8. Given your decision in #7, would…A clinical trial is run to investigate the effectiveness of an experimental drug in reducing preterm delivery to a drug considered standard care and to placebo. Pregnant women are enrolled and randomly assigned to receive either the experimental drug, the standard drug or a placebo. Women are followed through delivery and classified as delivering preterm (< 37 weeks) or not. The data are shown below. Preterm Delivery Experimental Drug Standard Drug Placebo Yes 17 23 35 No 83 77 65 Is there a statistically significant difference in the proportions of women delivering preterm among the three treatment groups? Run the test at a 5% le significance.I need help with stats/2023 classify the 2 given samples as independent or dependent. sample 1: the number of home runs hit by 44 professional baseball players in their rookie season sample 2: the number of home runs hit by the same 44 professional baseball players in their final season. choose the correct answer: A. The 2 given samples are independent because the same athletes were sampled. B. The 2 given samples are independent because the different athletes were sampled C. The 2 given samples are dependent because the same athletes were sampled. D. The 2 given samples are dependent because different athletes were sampled.
- f.A doctor in Oklahoma City wants to know whether the average life span for heart disease patients at four hospitals in the city differ. The data below represents the life span, in years, of heart disease patients from each hospital. Perform an ANOVA test with a 10% level of significance to test whether the average life span of heart disease patients in Oklahoma City differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 8.1, 1.2, 7, 11.5, 21, 2, 15.3, 19.2, 10.5, 15.4, 12.7, 15.3, 12.1, 7.5, 11.4, 16.4, 26.7, 14.6, 1.5, 16.3, 12.6, 0.8, 18.2, 4.2, 9.6, 21, 16.3, 2.7 Life Span of Patients Treated at Hospital 2: 17.6, 11.6, 16.8, 5.2, 6.7, 3.2, 13.8, 12.5, 0.9, 6, 14.3, 1.8, 14.8, 10, 5.8, 15.2, 10, 3.7, 11.4, 21.6, 12.9, 0.5, 9.2, 13.9, 10.9 ▼ Part 1 of 4 Life Span of Patients Treated at Hospital 3: 8.5, 2.3, 11, 7.4, 14.8, 5.8, 11, 3.4, 10.9, 1.1, 5.9, 21.6, 12.5, 0.1, 15.5, 15.4, 0.8, 7.7, 5.6, 12, 7.1 Life Span of Patients Treated at Hospital…Anterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 Calcualte the sum of squares of injuries for men.