ngineer is performing a DoE including the the RF setting and it affects the etch rate, and she has run a completely randomized experiment with four levels of RF power and five replicates. Calculate SSE
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An engineer is performing a DoE including the the RF setting and it affects the etch rate, and she has run a completely randomized experiment with four levels of RF power and five replicates. Calculate SSE
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- In a flowering plant, white flowers are dominant over red, and short plants are dominant over tall plants. When two double heterozygous plants were crossed, the resulting phenotypes were observed: White, short: 206 Red, short: 83 White, tall: 65 Red, tall: 30 Please use a statistical test. Be sure to include all relevant values as well as state how you would interpret the outcome.A scientist set up a factorial design to assess the amount of variability in lipid measurements that can be attributed to two factors: machine and day. Four machines were to be tested on four separate days. Both machine and day were considered random effects. Measurements of lipids in replicate serum samples were made on the four machines on each of the four days. Two serum samples were randomly assigned to each the 16 treatment combinations in a completely randomized design. After fitting the model m = lm(measurement - day*machine) in R to the experiment data (day and machine have been converted to factors). Mean squares (MS) from the resulting ANOVA table and their expected values are summarized below (a = 4, b = 4, and r = 2): MS Expected Mean Squares 444.82 o2 + ro + bro? 549.09 o2 + roảp + aro 87.34 o2 + roảp Source of Variation d.f. A (day) 3 B (machine) 3 AB (day × machine) Error 16 17.9 o2Imagine 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
- A telemarketing firm has studied the effects of two factors on the response to its television advertisements. The first factor is the time of day at which the ad is run, while the second is the position of the ad within the hour. The data in the following table, which were obtained by using a completely randomized experimental design, give the number of calls placed to an 800 number following a sample broadcast of the advertisement. If we use Excel to analyze these data, we obtain the output in the table below. The Telemarketing Data and the Excel Output of a Two-Way ANOVA Position of Advertisement On the Half- Hour Late in Program On the Early in Program Time of Day Hour 10:00 42 36 62 51 morning 41 38 68 47 37 41 64 48 4:00 afternoon 62 57 88 67 60 58 60 55 85 81 60 66 nce 9:00 100 97 127 105 evening 96 103 96 101 101 107 120 126 ANOVA: Two-Factor With Replication Summary Half- Hour Hour Early Late Total Morning Count 3 146 48.67 47.92 4.33 123.72 12 3 194 64.67 9.33 Sum 120 115 40…A developmental psychologist is interested in whether children (age 5 and 11 years) differ in their liking of jazz music. The psychologist studies 100 children at a local elementary school by having them listen to 3 different jazz songs and then, after hearing all three songs, asks them to rate whether they like that type of music or not (yes or no). Referring to Table 1, test whether liking jazz music depends on the age of the child using an alpha of 0.05 and all the steps in hypothesis testing.Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). background u n x s Blue μ1 36 4.38 0.55 Red μ2 41 3.79 0.84 The test statistic, t, is enter your response here. (Round to two decimal places as needed.) The P-value is enter your response here. (Round to three decimal places as needed.) b. Construct the confidence…
- A coffee company wants to determine how long caffeine lasts throughout the day when individuals have a cup of one of their 3 types of coffee at 9am. They will then measure the levels of caffeine in these individuals’ systems at 10am, 12am, 2pm, 4pm, 6pm and 8pm. They want to have at least 20 observations per group. How many separate/distinct groups of participants are needed if they want to conduct this experiment using a mixed-measures ANOVA? options: a. Not enough information to determine b. 18 c. 6 d. 20 e. 3Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The…The human resources director of a large company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The analyst assigned to the project randomly sampled 25 male executives and 25 female executives. Of particular interest to the HR director is whether males have greater variability in miles flown than females. The statistics available below were computed from the samples. Based on these data, what should the HR director conclude if an alpha level equal to 0.01 is used? LOADING... Click the icon to view the statistics about the number of miles flown. Males Females Mean Miles 73,262 66,888 St. Deviation Miles 2,568 1,539 Sample Size 25 25 Let sample 1 be males and sample 2 be females. What are the null and alternative hypotheses? A. H0: σ21=σ22 HA: σ21≠σ22 B. H0: σ21≤σ22 HA: σ21>σ22 C. H0: σ21≥σ22 HA:…
- Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .80.What effect size will her data need to achieve to make that possible?Determine if the samples are independent or related. Two formulations of a new whitening soap are compared to their whitening effect. A random sample of 40 potential users of the soap is selected. Each person uses a randomization mechanism to determine which formulation is applied on the left arm so that the other formulation is applied on the right arm. After two weeks, they measured the effect of each formulation.