Hi tutor, please help solve this 3 questions below. PLEASE DONT COPY FROM CHEGG WEBSITE .

Question 1 A local college cafeteria has a self-service soft ice cream machine. The cafeteria provides bowls that can hold up to 16 ounces of ice cream. The food service manager is interested in comparing the mean amount of ice cream dispensed by male students to the mean amount dispensed by female students. A measurement device was placed on the ice cream machine to determine the amounts dispensed. Random samples of 85 male and 78 female students who got ice cream were selected. The sample means were 7.23 and 6.49 ounces for the male and female students, respectively. Assume that the population standard deviations are 1.22 and 1.17 ounces, respectively. Use 1% significance level to determine that the average amount of ice cream dispensed by male college students is larger than the average amount dispensed by female college students. Answer the following questions. Male student Female student Mean sample 7.23 oz 6.49 OZ Population standard 1.22 OZ 1.17 OZ deviation Sample size 78 i. Identify the claim and state the Ho and Hi. ii. Find the critical value. iii. Calculate the test statistic. iv. Make a decision to reject or fail to reject the Ho. V. Interpret the decision in the context of the original claim.Question 2 An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers. The company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 2.2 miles per hour. Another sample of 18 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. Assume that the speeds at which all men and all women drive cars on this highway are both normally distributed with equal standard deviation. Use 1% significance level to test the hypothesis that the mean speed of cars driven by all men drivers on this highway is greater than that of cars driven by all women driver. Answer the following questions. Man driver Women driver Mean sample 72 mph 68 mph Sample standard 2.2 mph 2.5 mph deviation Sample size 27 18 i. Identify the claim and state the Ho and Hi. i. Find the critical value. iii. Calculate the test statistic. iv. Make a decision to reject or fail to reject the Ho. V. Interpret the decision in the context of the original claim.Question 3 The manufacturer of a gasoline additive claims that the use of this additive increase's gasoline mileage. A random sample of six cars was selected, and these cars were driven for 1 week without the gasoline additive and then for 1 week with the gasoline additive. The following table gives the miles per gallon for these cars without and with the gasoline additive. Use 2.5% significance level to determine that the use of gasoline additive increases the gasoline mileage. Answer the following questions. Cars 2 3 4 6 Without Miles per 24.6 additive 28.3 18.9 23.7 15.4 29.5 gallon With additive 26.3 31.7 18.2 25.3 18.3 30.9 i. Identify the claim and state the Ho and Hi. ii. Find the critical value. ili. Calculate the test statistic. iv. Make a decision to reject or fail to reject the Ho. V. Interpret the decision in the context of the original claim