Please answer all questions correctly and provide an explanation for each answer. Answers must be typed. You must be an expert in business statistics.

QUESTION 5 A television program in conjunction with a researcher conducted a makeover of a Hardee's Restaurant. The main room had bright lights and loud music. In a separate room, the renovation brought in plants, paintings, indirect lighting, and white tablecloths and candles on the tables. The amount of time a random sample of patrons spent in the restaurant for each room was recorded. At 5% level of signicant, is there enough evidence to infer that when the restaurant features Indirect lighting customers spend more time in the restaurant? Assume unequal population variances. t-Test: Two-Sample Assuming Unequal Variances indirect lighting Bright lights Mean 33.72 22.29 Variance 37.61 23.40 Observations 75 75 Hypothesized Mean Difference 0 df 140 t Stat 12.66931706 P(T0.05, we conclude that there is sufficient evidence to infer that when the restaurant features bright lights and loud music customers spend less time in the restaurant. O Because the p-value >0.05, we cannot conclude that there is sufficient evidence to infer that when the restaurant features bright lights and loud music customers spend less time in the restaurant. QUESTION 7 A television program in conjunction with a researcher conducted a makeover of a Hardee's Restaurant. The main room had bright lights and loud music. In a separate room, the renovation brought in plants, paintings, indirect lighting, and white tablecloths and candles on the tables. The amount of time a random sample of patrons spent in the restaurant for each room was recorded. At 5% level of signicant, is there enough evidence to infer that when the restaurant features Indirect lighting customers spend more time in the restaurant? Assume unequal population variances. t-Test: Two-Sample Assuming Unequal Variances indirect lighting Bright lights Mean 33.72 22.29 Variance 37.61 23.40 Observations 75 75 Hypothesized Mean Difference 0 df 140 t Stat 12.66931706 P(T 0 O Ho: H1 - 12 = 0 H1: 11 - 12 # 0 O Ho: M1 - M2 # 0 H1: 11 - 12 = 0QUESTION 9 A statistician wants to test for the equality of means in two independent samples drawn from normal populations of people enrolled in a tness program. However, he will not perform the equal-variance ttest of the difference between the population means if the condition necessary for its use is not satised. Using the number of pound lost at the completion of the program, the statistician conducted an F test to determine whether he should use a t-test with equal or unequal variances to compare the two groups. Using the information provided in the printout: F-Test Two-Sample for Variances Sample 1 Sample 2 Mean 9.25 13.6 Variance 9.0714 84.0444 Observations 8 10 df 7 9 F 0.1079 P(F