Following are the number of miles traveled for 30 randomly selected business flights within the United...

Following are the number of miles traveled for 30 randomly selected business flights within the United States during 1999.

1095, 925, 1656, 1605, 1503, 1928, 2030, 1418, 500, 1248,
2047, 1027, 1962, 1027, 1197, 1928, 874, 1367, 1129, 1401,
874, 602, 1503, 1469, 636, 1503, 925, 1384, 874, 704

a) Use the data to obtain a point estimate for the population mean number of miles traveled per business flight, μ, in 1999.
Note: The sum of the data is 38341.

b) Determine a 95.44% confidence interval for the population mean number of miles traveled per business flight in 1999. Assume that σ=450 miles. Confidence interval: ( , ).

c) Must the number of miles traveled per business flight in 1999 be exactly normally distributed for the confidence interval that you obtained in part (b) to be approximately correct?

d) What theorem helped you answer part (c)?

Expert Solution

milcah answered 1 year ago

manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles)...

manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales representatives and their amount of sales (in thousands of dollars) per month. Complete the linear regression test below in order to predict the amount of sales if the sales representative traveled 1,300 miles? By visual observation of the scatter plot, does the data appear linear? Null Hypothesis: Alternative Hypothesis: What is the value of r? What are the critical values for...

The following are distances (in miles) traveled to the workplace by 17 employees of a certain...

The following are distances (in miles) traveled to the workplace by 17 employees of a certain hospital. 9, 27, 31, 18, 1, 28, 13, 32, 3, 18, 29, 16, 2, 37, 14, 22, 11 What is The 25th percentile? What is the 70th percentile?

The duration (in days) of 14 randomly selected space shuttle flights have a standard deviation of...

The duration (in days) of 14 randomly selected space shuttle flights have a standard deviation of 3.54 days. Construct the 99% confidence interval for the population variance and the population standard deviation.

A study of arrival times for a number of international flights. The times were randomly recorded...

A study of arrival times for a number of international flights. The times were randomly recorded from a normally distributed population with the following results: n = 19 and s = 12.1. Find the 95% confidence interval for σ.

The number of movies 11 randomly selected adults own is shown below. 6 30 39 39...

The number of movies 11 randomly selected adults own is shown below. 6 30 39 39 41 43 46 49 56 60 99 a. Identify the five-number summary and the interquartile range (IQR)? b. Construct a boxplot for the data? c. Comment on the shape of the distribution. d. Determine if there are any outliers? (Need to show work)

Scenario: On March 28 at 1:30 pm, I randomly selected 10 states and found the number...

Scenario: On March 28 at 1:30 pm, I randomly selected 10 states and found the number of coronavirus cases in each of them. This gave me an average of 939 cases with a standard deviation of 1543. Assume the number of cases in each state is normally distributed. Create a 90% confidence interval for the actual number of coronavirus cases in each state. Question: 3. Using the scenario from question 1, how many states would need to be selected to be 90% confident...

Listed below are the arrival delay times (in minutes) of randomly selected airplane flights from one...

Listed below are the arrival delay times (in minutes) of randomly selected airplane flights from one airport to another. Negative values correspond to flights that arrived early before the scheduled arrival time, and positive values represent lengths of delays. Find the range, variance, and standard deviation for the set of data. Some of the sample values are negative, but can the standard deviation ever be negative? −3 −5 −28 −16 −32 −35 −29

certain flight arrives on time 85 percent of the time. Suppose 127 flights are randomly selected....

certain flight arrives on time 85 percent of the time. Suppose 127 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 120 flights are on time. (b) at least 120 flights are on time. (c) fewer than 100 flights are on time. (d) between 100 and 120, inclusive are on time.

The durations (in days) of 14 randomly selected space shuttle flights have a sample standard deviation...

The durations (in days) of 14 randomly selected space shuttle flights have a sample standard deviation of 3.54days. Assume that the durations in days is normally distributed, construct a 95% confidence interval for the population variance and standard deviation.

A national air traffic control system handled an average of 47,285 flights during 29 randomly selected...

A national air traffic control system handled an average of 47,285 flights during 29 randomly selected days in a recent year. The standard deviation for this sample is 6,293 flights per day. The 99% confidence interval to estimate the average number of flights per day handled by the system is from Question 7 options: a lower level of 54,223 to an upper level of 66,728. a lower level of 44,056 to an upper level of 50,514. a lower level of...

Question