A college surveys 500 students on their sleep habits. The average amount of sleep of these students is 5.5 hours per night with a standard deviation of 2 hours. Compute a 95% confidence interval for the average sleep of all college students. O (5.32, 5.68) O (5.32, 5.69) O (5.31, 5.69) (5.40, 5.79)

Q6 Manatees are one creature found in coastal waterways. To study this creature, a random sample of 12 manatees were selected, the sample manatees were released before their weights (in pounds) were carefully recorded: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assuming the underlying distribution of manatee weights is normal. 1. Find a 95% confidence interval for the true mean weight. 2. In a similar study 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1000 pounds. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight is less than 1000 pounds now. Solve the hypothesis using the PP-value method. Let α=0.05.α=0.05.

15 people were asked how many hours they spend on homework a week.  Data Set: 4,5,6,7,9,11,12,12,14,15,17,19,20,21,23 n = 15 x bar = 13.6428571 s = 5.78601953 With 93% confidence, the amount of hours that are typically spent working on homework per week is between ---- hours and ---- hours. Need : t= SE= ME=

A football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 5.5 5.7 5.0 5.9 5.3 5.9 5.5 5.9 5.0 5.5 Determine a 95 percent confidence interval for the mean time for all players.