a. µ = 12, x = 15, s = 4, n = 12 b. µ = 10,x = 7.8, 0 = 5. 1,n = 45
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Calculate the test-statistic for each of the following
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- Determine if the ANOVA test would be appropriate for this situation: Is the mean age of Starbucks customers the same for four different stores in Baltimore?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?An X random variable comes from any distribution with 21 averages and 17 variances. What is the probability that a sample of 45 randomly selected from this stack has a sample mean between 20 and 26? Calculate.
- The Ahmadi Corporation wants to increase the productivity of its line workers. Four different programs have been suggested to help increase productivity. Twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. You are given the results below. At 95% confidence, conduct the ANOVA test to determine whether there is a significant difference in the mean output under the four programs. Program A Program B Program C Program D 150 150 185 175 130 120 120 135 180 160 145 110 Part of the ANOVA table is shown below. Source of Variation Sum of Squares 8,750 Between Groups Within Groups 16,350 Total 220 190 180 175 d.f. 19 150 120 130 175 Mean Squaredetermine the degrees of freedom if necessaryThis data set contains the achievement test (English as a Second Language) results and some background data collected during experimental trial of a new ESL program. The study was one year in duration. Students were allocated to the experimental ESL program class and a regular program control class on a random basis. Vocabulary and grammar tests were administered to the students in both groups at the beginning and the end of the school year. Variables The dataset includes 24 cases and 7 variables: Student ID Group (1 - experimental, 2 - control, 9 - missing) Gender (1 - male, 2 - female, 9 - missing) Pre-test vocabulary scores (scores range from 0 - 25, 99 - missing) Pre-test grammar scores (scores range from 0 - 25, 99 - missing) Post-test vocabulary scores (scores range from 0 - 25, 99 - missing) Post-test grammar scores (scores range from 0 - 25, 99 - missing) (a) develop a research question that can be addressed with independent-samples t test (b) state the null and alternative…
- Below is the summary A tutorial school has been running IELTS mock examination for many years. presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 5 2 5 7 15 8 10 3 A report presented by this tutorial school 5 years ago indicated that the population mean score of IELTS mock examination was 7.05 points and ihe population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part…Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 Difference Score (Di) (Di - Mdiff)2 1 22 22 0 2 32 34 -2 3 24 25 -1 4 28 30 -2 5 26 29 -3 What is the observed test statistic (i.e., tobs)? Round to 2 decimal places.Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. A researcher is interested in whether people who own red cars, blue cars, or silver cars receive more speeding tickets.
- An article compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures computer instruction, and computer instruction with lectures. 45 students were randomly assigned, 9 to each method. After completing the course, students took a 1-hour exam. Which of the following is the correct degrees of freedom for an F-test for evaluating if the average test scores are different for the different teaching methods? dfnum = 5, dfden = 45 dfnum = 4, dfden = 44 dfnum = 4, dfden = 40 dfnum = 45, dfden = 4 dfnum = 40, dfden = 4An experiment was conducted to test if 2 new anti-anxiety medications will have an effect on number of anxiety symptoms. The researcher randomly assigned participants to one of the three experimental groups. Groups 1 and 2 took the 2 new medications while Group 3 took a placebo pill. The researcher was interested in determining whether there would be a difference in the number of anxiety symptoms among the three groups. Assume an alpha level of 0.05 and a two-tailed test. What statistical test should you use to evaluate the hypothesis above? one-way independent ANOVA Pearson Product-Moment Correlation simple linear regression multiple linear regression three-way independent ANOVACompute the test statistic
