A set of 11 data pairs (x.y) were collected and were found to have a linear relationship given by: y = 3.04 x + 0.99 The Standard Error of the Fit for this equation is 0.755 and the confidence interval, CI, is written as: y = ax + b+ (e) Provide the value of the margin of error, e, at a confidence level of 95%. (Use 3 decimal places to express your answer).
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- A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0Ha:β1≠0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…The attached data contains Part Quality data of three suppliers. At = 0.05, does Part Quality depend on Supplier, or should the cheapest Supplier be chosen?The relationship between sleep hours and overall happiness level on the next day was estimated as below in a linear format. (Happiness level is measured through a five-point scale: 1 = Extremely unhappy, 5 = Extremely happy) Overall happiness level = 0.27 * Sleep hours + 2.34 (The p-value for the coefficient of Sleep hours is 0.02.) Based on this equation, what is the expected happiness level of a person on a certain day, when he slept 7 hours the day before?
- A survey of folk music fans yields this 95% confidence interval estimate of the proportion of fans who love the music of David Wilcox: 0.74 to 0.86. To the nearer percentage point, the margin of error for this survey isA confidence interval for the difference in the number of friends that men and women have was found to be -1.8 to 0.8. Find the midpoint of this confidence interval.If a 90% confidence interval for the mean is (75.3 to 80.9), we would reject H0 : = 70 in favor of H1 : not equal to 70 at 0.05 True or False?
- two 95 percent confidence intervals will be constructed to estimate the difference in means of two populations, R and J. One confidence interval, I400, will be constructed using samples of size 400 from each of R and J, and the other confidence interval, I100, will be constructed using samples of size 100 from each of R and J. When all other things remain the same, which of the following describes the relationship between the two confidence intervals?Numerous studies have found that males report higher self-esteem than females. The results show a mean self-esteem score of M = 39 with SS = 60.2 for a sample of n = 10 male adolescents and a mean of M = 35.4 with SS = 69.4 for a sample of n = 10 female adolescents. Use α = .05. a. Do the results indicate that self-esteem is significantly higher for males? b. Compute the 90% confidence intervalA dentist wanted to determine if a relationship existed between childhood fluoride exposure and cavities. She took a sample of adults in her practice and counted how many cavities each person had in his or her permanent teeth. She also determined how many years of childhood each person was exposed to tap water with fluoride. The minimum value on this variable was 0 and the maximum was 18. Using the data below, an alpha of .05 and a two-tailed test, was there a significant relationship? Years of fluoride Number of cavities 0 10 18 1 2 7 12 3 3 4 10 5 M = 7.5s =6.98 M = 5.00s = 3.16
- I would need some help with finding the best predicted value of y corresponding to the given value of x.Use a t table to find the value of t to use in a confidence interval?Two 95 percent confidence intervals will be constructed to estimate the difference in means of two populations, R and J. One confidence interval, I400, will be constructed using samples of size 400 from each of R and J, and the other confidence interval, I100, will be constructed using samples of size 100 from each of R and J. When all other things remain the same, which of the following describes the relationship between the two confidence intervals? a)The width of i400 will be 4 times the width of i100. b) The width of i400 will be 2 times the width of i100 c)The width of i400 will be equal to the width of i100. d)The width of I400 will be 1/2 times the width of I100 e)The width of I400 will be 1/4 times the width of I100.