1.

A data set includes times (in minutes) of taxi cab rides in New York City yellow cabs during a Friday morning of the same day in a recent year. Using 40 of the times to test the claim that the mean of all such times is less than 15 minutes, the accompanying Minitab display is obtained. Test the given claim by using the display provided from Minitab. Use a 0.10 significance level. i Click the icon to view the Minitab display. . . . Identify the null and alternative hypotheses. Ho: H1: (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. There sufficient evidence at the 0.10 significance level to the claim that the mean time of all taxi cab rides in New York City yellow cabs during the Friday morning is less than 15 minutes.Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 9 11 14 6 12 5 .13 3.14 8.74 8.77 9.26 8.11 6.13 3.11 9.12 7.26 4.74 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. O A. OB. O c. O D. 10-7 Ay 10- 10 My 10-T 87 00 6- 12 16 8 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=. (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. O A. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. O B. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. O C. There is insufficient evidence to support the claim of a linear correlation between the two variables. O D. There is sufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. O A. The scatterplot reveals a distinct pattern that is not a straight-line pattern. O B. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. O C. The scatterplot does not reveal a distinct pattern. O D. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 31 years. Is the result within 5 years of the actual Best Actor winner, whose age was 51 years? Best Actress 29 30 29 63 31 33 47 29 62 23 43 53 Best Actor 42 35 37 44 51 47 62 50 37 58 46 35 . . . Find the equation of the regression line. y = [+()x (Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.) The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 31 years is years old. (Round to the nearest whole number as needed.) Is the result within 5 years of the actual Best Actor winner, whose age was 51 years? the predicted age is the actual winner's age.Find the regression equation, letting the rst variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people. nd the best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile? Lemon Imports 233 265 356 480 539 E CrashFatalityRate 16 15.8 15.4 15.5 15 Find the equation of the regression line. l= +