Discuss the below problem:
Q1. The Mac burgher restaurant chain claims that the mean waiting time of customers for service is 3 minutes and a population standard deviation of 1 minute. The quality-assurance department found in a sample of 50 customers at the Warren Road Mac burger that the mean waiting time was 2.75 minutes. At the .05 significance level, can we say that the mean waiting time is less than 3 minutes?
Q2. A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on average, 10 pounds the first two weeks with a standard deviation of 2.8 pounds. A random sample of 50 people who joined the new Weight reduction program revealed the mean loss to be 9 pounds. At the .05 level of significance, can we conclude that those joining Weight Reducers on average will lose less than 10 pounds? Determine the p-value.
Q3. According to a recent survey Americans get a mean of seven hours sleep per night. A random sample of 50 students at West Virginia University revealed that the mean numbers of hours slept last night was 6 hours and 48 minutes (6.8 hours). The Standard deviation of the sample was 0.9 hours. Is it reasonable to conclude that the students at West Virginia sleep less than the typical American?
Q4. According to the Coffee Research Organization (https://www.coffeeresearch.org) the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the foll. Amounts, reported in cups of coffee yesterday.
3.1 3.3 3.5 2.6 2.6 4.3 4.4 3.8 3.1 4.1 3.1 3.2
At the .05 significance level, does the sample data suggest there is a difference between the national average and the sample information from senior citizens?