Use an analysis of variance with α = .05 to determine whether these data indicate any significant mean differences among the treatments. A) F critical = B) F ratio = C) Is the decision to 'reject' or 'retain' the null hypothesis?
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Use an analysis of variance with α = .05 to determine whether these data indicate any significant mean differences among the treatments.
A) F critical =
B) F ratio =
C) Is the decision to 'reject' or 'retain' the null hypothesis?
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- which of the following excel functions would you use to answer this question "Is the number if applications accepted for public colleges/universities the same as for private colleges/universities?" Options: 1) t-test: paired two sample for means 2) t-test: two sample assuming equal variances 3) t-test: two sample assumung unequal variances 4) z-test: two sample for meansA market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating Individual After Before 1 6 5 6 4 3 7 4 4 3 3 8 8 6 State the null and alternative hypotheses. (Use u, = mean rating after - mean rating before.) O Ho: Hs0 H3: H = 0 O Ho: Hd#0 Hai Hq= 0 O Ho: Hg=0 O Ho: Hd> 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) 1.183 Calculate the p-value. (Round your answer to…3. Which of the following are practical ways to assess equal variances of the residuals? Select all that apply a. Hartley's F-max test (provided data look normal and sample sizes are same); b. Bartlett's test (provided normality seems to hold; sample sizes do not have to be the same); c. Levene's test (normality and equal sample sizes aren't needed) d. Boxplots of residuals, or boxplots of standardized residuals, or boxplots of the original data. e. Boxplots of cats and dogs.
- A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a = .05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating Purchase Rating Individual After Before Individual After Before 1 6. 6. 3 2 6. 4 6. 7 8 7 6. 5 4 4 8 6. 6 a. What are the hypotheses? Ho: ld is Select Ha: ld is select b. Compute d (to 3 decimals). Compute sa (to 1 decimal).Do people walk faster in an airport when they are departing (getting on a plane) or after they have arrived (getting off a plane)? An interested passenger watched a random sample of people departing and a random sample of people arriving and measured the walking speed (in feet per minute) of each. A hypothesis test is to be performed to determine if the mean walking speed is different between departing and arriving passengers at an airport. Suppose the p-value is 0.14. What is an appropriate conclusion? Choose the correct answer below. O A. There is sufficient evidence at the 5% significance level to indicate that the mean walking speeds for arriving and departing passengers are the same. B. There is not sufficient evidence at the 5% significance level to indicate that the mean walking speeds for arriving and departing passengers are different. C. There is not sufficient evidence at the 5% significance level to indicate that the mean walking speeds for arriving and departing passengers…A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal . The value of the test statistic is A) 3.6 B) 1.8 C) 0.45
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- An experiment was conducted to determine whether additives increase the adhesiveness of rubber products. Twelve products were made with the new additives and another twelve without the new additive. The observed adhesiveness was as recorded. Perform an analysis of variance to test the significant main and interaction effects. Use 0.05 level of significance. Temperature, (degree Celslus) Condition 50 60 70 80 2.3 3.4 3.8 3.9 Without 2.9 3.7 3.9 3.2 Additives 3.2 3.2 3.8 2.7 4.3 3.8 3.9 3.5 With 3.9 3.8 3.6 Additives 4.2 3.5 3.6 3.9For Exercise 10, assume that the variables are normally or approximately normally distributed. Use the traditional method of hypothesis testing unless otherwise specified. 10. Carbohydrates in Fast Foods The number of carbohydrates found in a random sample of fast-food entrees is listed below. Is there sufficient evidence to conclude that the variance differs from 100? Use the 0.05 level of significance. 53 46 39 39 30 47 38 73 43 41 Source: Fast Food Explorer (www.fatcalories.com).Here is a link to a data set concerning treatment groups A and B. Before performing a t-test to determine if the two groups are different, researchers must first ascertain if the variance in the two groups is the same using an F test. Indicate whether the hypothesis below is the null or alternate hypothesis for the F test. The variance in group A is equal to the variance in group B Calculate the F statistic for this data set and report it in the box below, rounded to two decimal places. Use the formula =(1-(f.dist(F, df1,df2,true) in Excel to calculate the P value for the F statistic, and report it in the box below. Do not use the rounded value for F when calculating the P value. Use the value in the spreadsheet that has not been rounded. Based on this p value, would you recommend using a Student's t test or a Welch's t test to determine if the two treatment groups have different means? Enter either Student's or Welch's in the box below.