The image presents data and instructions for conducting a one-factor ANOVA to compare starting hourly wages across three different types of positions: internships, co-ops, and work-study jobs.**Data Table:**- **Group 1: Internship** - 10, 11.25, 9.25, 9.75, 10.5, 10.5- **Group 2: Co-op** - 10.5, 11, 10.25, 13.25, 12.5, 10.75- **Group 3: Work Study** - 12.25, 10.5, 10.75, 11.5, 10, 10.5The objective is to determine if the mean starting hourly wages are equal across the three groups using a significance level ($\alpha$) of 0.01.**Instructions:**1. **Calculate Group Means:** - Find the mean for each group and report to two decimal places.2. **Conduct One-Factor ANOVA:** - Use technology to calculate the ANOVA summary statistics. - Report the $ F $-ratio to three decimal places. - Report the $ p $-value to four decimal places.**Conclusion:**- Evaluating whether the $ p $-value is less than 0.01 will determine if there is a significant difference between the group means.

Answered: The following three independent random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The partially completed analysis of variance table given below is taken from the article, "Power and Status, Exchange, Attribution, and Expectation States (Small Group Research)." The experimenters investigated the effects of power and knowledge on one's emotional reaction in a study involving 52 students selected from a large private university. Each of the factors was run at two levels, with 13 subjects at each of the four different factor combinations. Source of Variation Power Knowledge Interaction Error Total ANOVA SS 0.2800 1.2600 3.1400 4.7600 df 1 1 1 48 51 MS F Complete the ANOVA table. Step 2 of 4: Calculate the F-statistic for the hypothesis test of interaction between the variables Power and Knowledge. Round your answer to four decimal places.
A behavioral researcher measures the stress response of mice exposed to scary animal pictures (cat, dog, lion, Cheshire cat) with a GABA sensor implanted in the brain. He uses randomly assigned 40 mice, 10 in each group. The researcher records the amount of stress after 30 seconds assuming that there is no difference in the response in whatever way the mouse is scared. The data is normally distributed. Means and variances are provided in the table below. Is there a difference in the response to scary animals. Group 1 - Cat n₁=10 m₁ = 10 s² 1= 1.8 Group 2 - Dog n2=10 m₂= 5.0 s²2= 3.4 Why is the scare effect so low in group 4? Group 3 - Lion n3=10 m3= 3.4 s²1= 2.5 Group 4 - Chesire Cat n4=10 m4= 2.4 s² 1= 1.6
"A large candy manufacturer produces, packages and sells packs of candy targeted to weigh 52 grams. A quality control manager working for the company was concerned that the variation in the actual weights of the targeted 52-gram packs was larger than acceptable. That is, he was concerned that some packs weighed significantly less than 52-grams and some weighed significantly more than 52 grams. In an attempt to estimate the variance of the weights of all of the 52-gram packs the manufacturer makes, he took a random sample of n = 20 packs off of the factory line. The random sample yielded a sample variance of 3.5 grams. Use 90% confidence level. What is the confidence interval for the variance of the weight of the candy?"
In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. A sample of 10 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Suppose data for 10 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Relaxant Subject No Yes 1 14 14 9 2 13 10 3 23 12 4. 6 10 5 9 8 16 8 5 7 00 8 10 8 11 7 9 13 11 10 8 6 Use a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. State the null and alternative hypotheses. Ho: Median time without relaxant - Median time with relaxant ≤ 0 Ha : Median time without relaxant - Median time with relaxant > 0 O Ho: Median time without relaxant - Median time with relaxant H : Median time without relaxant O Ho: Median time without relaxant - = 0 Median…
A sample contains 61 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.05 significance level. A. 0.330 B. 0.236 C. 0.279 D. 0.254 ( don't hand writing solution)
Suppose you analyzed the average monthly credit card bill of Visa credit card customers using two randomly selected samples: one with 144 Visa credit card customers (Sample #1) and one with 100 Visa credit card customers (Sample #2). Every credit card customer in Sample #1 had a monthly credit card bill of $1,812. Sample #2, on the other hand, had an average monthly credit card bill of $1,868 with a variance of 1,302,388 (SM2. If you combined these samples into one... Question 2 What would be the combined monthly credit card bill average (in dollars)? Question 3A What is the combined monthly credit card bill median (in dollars)? Question 3BWha is the shape of the combined monthly credit card bill distribution (in dollars)? Question 4 What would be the combined monthly credit card bill standard deviation (in dollars)?
The grams of carbohydrates for cereals made by three popular cereal manufacturers (Kellogg, General Mills, and Post) were collected and a one-way ANOVA was performed, as displayed in the table below. Analysis of Variance results: Where: mfr="General Mills" or mfr="Kellogg" or mfr="Post" Responses: carbo Factors: mfr Response statistics by factor mfr="General Mills" or mfr="Kellogg" or mfr="P Carbohydrates 20 mir General Mills 22 14.727273 no Means Std. Dev. Std. Error + 3.3478041 0.71375423 15 Kellogg Post 23 15.130435 4.4650598 0.93102933 9 13.222222 1.9220938 0.64069792 ANOVA table Source DF mi SS MS F-Stat P-value 2 23.786927 11.893464 0.86217854 0.4283 51 703.52789 13.794664 10 Total 153 727.31481 General Mills Kellogg Manufacturer Post Which manufacturer has the highest median grams of carbohydrates? Post O Cannot be determined. O General Mills Kellogg myhip
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An HIV clinical trial with 1151 subjects was conducted. We will focus on two variables from this trial: IVDrug and Age. IVDrug is a categorical variable that indicates whether each subject never, previously, or currently uses IV drugs. Age lists the subject's age in year. Thus, we have age for subjects in three treatment groups. Assume that the samples were collected independently and come from a normally distributed population with equal variances. An ANOVA is used to test whether average age in the three IV drug groups is the same. A partially filled-in ANOVA table is listed below. Use a significance level of 0.05. p-value Treatment Error Total df SS MS 76.77 F 7.5586
A study was conducted to determine if differences in new textbook prices exist between on-campus bookstores, off-campus bookstores, and Internet bookstores. To control for differences in textbook prices that might exist across disciplines, the study randomly selected 12 textbooks and recorded the price of each of the 12 books at each of the three retailers. You may assume normality and equal-variance assumptions have been met. The partially completed ANOVA table based on the study's findings is shown here: ANOVA Source of Variation Textbooks Retailer Error Total SS 16,624 2.4 df MS F 17,477.6 Based on the study's findings, was it correct to block for differences in textbooks? Conduct the appropriate test at the alpha = 0.10 level of significance.

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