![dhruvi62](/avatars/36765.jpg)
dhruvi62
01.05.2021 •
Mathematics
1. Katy had two choices of routes to get her to work. She wanted to choose the route that would get her to work fastest, on average. To determine which route would get her to work faster, on average, she randomly selected 10 days and took Route 1 on those 10 days. Then she randomly selected a different 10 days and took Route 2 on those 10 days. She recorded the time, in minutes, it took her to get from her house to work on each of those 20 days. From her data, she constructed the 95% confidence interval for the difference in mean commuting times (Route 1-Route 2) in minutes as (-1,9) Based on this confidence interval, which of the following is a correct statement?
A. There is evidence at the 5% significance level to indicate that one route gets Katy to work faster, on average, since one bound is close to 0
B. There is not enough evidence at the 5% significance level to indicate that the average commuting times for the two routes is the same
C. There is evidence at the 5% significance level to indicate that one route gets Katy to work faster, on average, since 0 falls between the bounds of the confidence interval.
D. There is not enough evidence at the 5% significance level to indicate that one route gets Katy to work faster, on average, since 0 falls within the bounds of the confidence interval
2. Katy had two choices of routes to get her to work. She wanted to choose the route that would get her to work fastest, on average. To determine which route would get her to work faster, on average, she randomly selected 10 days and took Route 1 on those 10 days. Then she randomly selected a different 10 days and took Route 2 on those 10 days. She recorded the time, in minutes, it took her to get from her house to work on each of those 20 days. Katy wanted to construct a confidence interval for the difference in population means using the two-sample t-methods. Which of the following statements is true regarding the conditions that must be met for Katy to use the two-sample t-methods for inference in this problem?
A. Since both sample sizes are small the distribution of the difference in sample means will not be normal regardless of the shape of the distributions of all commuting times for both routes.
B. Since both sample sizes are small. Katy would have to believe that all commuting times for both routes are normally distributed in order for the distribution of the difference in sample means to be normal.
C. Because the sample of days to take route 1 and route 2 were chosen randomly, the distribution of the difference in sample means will be approximately normal.
D. Since both sample sizes are small Katy would have to believe that all commuting times for both routes are normally distributed in order for the commuting times used in the samples to be representative of all commuting times for both routes
Solved
Show answers
More tips
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
Answers on questions: Mathematics
- M Mathematics What is the volume of the triangular prism? A triangular prism. The base of the triangular face is 5.4 centimeters and the height of the face is 3.2 centimeters. The height...
- M Mathematics Find the values of x and y in the equation below....
- M Mathematics I only know one that applys...
- M Mathematics If ray ZX is an angle bisector of ∠WZY, find m∠WZY....
- M Mathematics Hank s pickup can travel 45 miles on 3 gallons of gas. How many gallons will Hank s pickup need to travel 30 miles?...
- M Mathematics Thomas walks 10 miles in 120 minutes. Select all of the unit rates below that describe Thomas’ walk....
- M Mathematics A concession stand sells only hotdogs and soda is hotdog cost one dollar and 50 Cent an iso cost two dollars at the end of the night they have sold a total of 40 hotdogs and...
- M Mathematics A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles? A 40° and 40° B 65° and 115° C 75° and 105° D 56° and 56°...
- M Mathematics A (-6, 1), B(4, 1) C (5, -8) D (-6, -8) square units...
- M Mathematics Ulma is waiting to board an airplane. Over the speakers she hears a flight attendant say “If you are seated in rows 10 to 20, you may now board. write the inverse, converse,...
Ответ: