(b) Based on the results obtained from EXCEL output, perform the hypothesis using the different approaches at a =0.05. (i) Run an ANOVA analysis to verify the statistical difference in the mean student spend (hours) per month among the 3 chosen programs.
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- Five different auto models were tested for their fuel efficacy. Seven vehicles from each model are selected for the experiment. The analysis of variance procedure was applied to the resulting data set. The total sum of squares (SSTO) is 158.2, and the sum of squares due to treatments (SSTR) is 51.6. (a) Set up the ANOVA table for this problem. (b) Write null and alternative hypotheses and use to test for any significant difference in the fuel efficiency for the five auto models. (c) What is your conclusion if (Note: For your convenience, you can copy/ paste the following notations.)The university conducted a study to observe the efficiency of students to see whether students do better when they study all at once or in intervals.One group of 12 participants participated in the survey after studying for one hour continuously. The other group of 12 participated in the survey after studying for three twenty-minute sessions. As per the survey, results group 1 had a mean score of 75 and a variance of 120. Second group had a mean score of 86 and a variance of 100. Assuming the normal populations, independent samples, and equal population variances conditions hold, are the mean test scores of these two groups significantly different at the 0.05 level?You roll a die. If it comes up a 6, you win $100. If not, you get to roll again. If you get a 6 the second time, you win $50. If not, you lose. Let X denote the amount you win in this game. Find the PMF of X
- A financial analyst conducted a test to determine whether the rates of return per share of Netflix stock exceeded the rates of return per share of Microsoft stock over the last 15 quarters, on average. Assuming equal population variances, if the calculated value for the associated test statistic equalled -1.9921, what did the p-value equal?The partially completed ANOVA table given in this problem is taken from the article “Perception of Spatial Incongruity” (Journal of Nervous and Mental Disease), in which the abilities of three different groups to identify a perceptual incongruity were assessed and compared. All individuals in the experiment had been hospitalized to undergo psychiatric treatment. There were 21 individuals in the depressive group, 32 individuals in the functional “other” group, and 21 individuals in the brain-damaged group. (round all results to two decimal places) Fill the ANOVA table below: (round all except degrees of freedom to 2 decimal places) Source of Variation Degrees of Freedom Sum of Squares Mean Square Treatments 76.09 Error Total 1123.14 What is the F test statistic here? (round to 2 decimal places) _________Fed-Ex claims that the variance of their 2-day package delivery is less than 0.75 days. A simple random sample of 24 deliveries showed a sample variance s2 = 0.81 days. Construct a 95% Interval Estimate for population variance for the 2-day delivery times.
- Women athletes at the university of Colorado , boulder have a long term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women atheletes who graduate from the university of Colorado, boulder , is now less than 67%? Use 0.05 level of significance. show full details.A Poisson regression was used to investigate how religious service attendance, expectations for the future, and decision-making skills were related to the number of sexual partners, controlling for age, gender, and ethnicity. Justify the use of a Poisson regression.The manager of a local gym has determined that the length of time patrons spend atthe gym is a normally distributed variable with a mean of 80 minutes and a standarddeviation of 20 minutes. (a) What is the least amount of time spent by 60% of patrons at the gym?(b) What proportion of patrons spend more than two hours at the gym?(c) What proportion of patrons spend less than one hour at the gym?
- A recent article reported “A one-way analysis of variance found that GRE scores varied according to the type of test preparation students engaged in prior to taking the examination, F (4, 187) = 14.08, p < .01.”Why it is important to test the stationarity status of the data series of each variable before testing the hypothesis? State the reason and also mention which statistical test can be used to ensure the status?Imagine you are a statistical consultant and your client, a weightlifting supplement company, is looking to see if their product is effective in increasing muscle mass gained over a training cycle. You randomly sampled 20 female weightlifters and assigned them to take the supplement and 20 to take a placebo. You have both groups run the same controlled training program over 12 weeks and calculated their whole body lean mass difference in pounds from the beginning to the end of the program. Can you infer that the supplement group gained more muscle mass on average than the placebo group? Use a = 0.05 for any hypothesis test. પ્રમ 1) State the research question in one sentence and use the question to determine the parameter we are using to conduct statistical inference. Describe this parameter in one sentence using symbols and a description. manu Aren