The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 minutes.  Is the mean wait time different for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 16, 13, 16, 15, 14, 12, 15, 12, 13, 13, 12, 14, 12, 13, 15 What can be concluded at the the α = 0.05 level of significance level of significance? c. The test statistic  t =   ?  (please show your answer to 3 decimal places.)   d. The p-value =   ?  (Please show your answer to 4 decimal places.)

The following are the lengths of stay (in days) for a random sample of 20 patients discharged from a particular hospital: 13, 9, 5, 11, 6, 3, 12, 10, 11, 7, 3, 9, 2, 2, 10, 10, 12, 12, 8, 8 Send data to calculator Draw the histogram for these data using an initial class boundary of 1.5, an ending class boundary of 13.5, and 6 classes of equal width. Note that you can add or remove classes from the figure. Label each class with its endpoints. Frequency 6 5 4+ 3 2 1 0 0 0 Length of stay (in days) U 0 n 0:00 00:0 X Español K

Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,994lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 5,994/37lb=162lb. What is the probability that the aircraft is​ overloaded? Should the pilot take any action to correct for an overloaded​ aircraft? Assume that weights of men are normally distributed with a mean of 181.6lb and a standard deviation of 36.2. The probability is approximately?

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft.  The aircraft can carry 42 passengers,  and a flight has fuel and baggage that allows for the total passenger load of 6,972lb. The pilot sees that the plane is full and all the passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,972lb/42=166lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that the weights of men are normally distributed with a mean of 176.9lb and a standard deviation of 37.7. THE probability is approximately.               ? Round to four decimal places.

The following are the lengths of stay (in days) for a random sample of 16 patients discharged from a particular hospital: 13, 9, 5, 11, 6, 3, 12, 10, 11, 7, 12, 12, 12, 9, 9,9 Send data to calculator Draw the histogram for these data using an initial class boundary of 2.5 and a class width of 2. Note that you can add or remove classes from the figure. Label each class with its endpoints. Frequency S 0 This f Length of stay (in days) 0 Tom 0:00 00:0 X

On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for 7 trials of this experiment. 541, 800, 667, 362, 542, 667, 800 Send data to calculator (a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. 1 2 (b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: 0 O two modes: and ?