baseball1525
06.06.2020 •
Mathematics
An investigator predicts that dog owners in the country spend more time walking their dogs than do dog owners in the city. The investigator gets a sample of 21 country owners and 20 city owners. The mean number of hours per week that city owners spend walking their dogs is 10.0. The standard deviation of hours spent walking the dog by city owners is 3.0. The mean number of hours country owners spent walking theirs dogs per week was 15.0. The standard deviation of the number of hours spent walking the dog by owners in the country was 4.0. Do dog owners in the country spend more time walking their dogs than do dog owners in the city? Using an alpha level of .05 (t= 2.32), what is the conclusion you are entitled to draw as a result of this test?
Solved
Show answers
More tips
- 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...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
Answers on questions: Mathematics
- M Mathematics Would be very happy if you helped.Don’t spam guys...
- M Mathematics Will give 11 points how many solutions does the system have? {y=−3x+5 y=x^2−3x+5 enter your answer in the box....
- M Mathematics Arectangle is drawn with perimeter 75 cm. the length is 13 more than the width. what is the length?...
- M Mathematics Write the given situation as an equation or inequality and then solve it. the local amusement park sells summer memberships for $50 each. normal admission to the...
- M Mathematics Idon’t understand what i need to do in this problem or how to get the answers...
- M Mathematics An equation is given. 2x = 26 what calculation would need to be done to solve the equation?...
- M Mathematics Is triangle fgh continuing to try and go to jkl answer why or why not...
- M Mathematics 95,90,85,40,100,100,95,100,85,90 most closely? the mode the range the median the mean...
- M Mathematics The line plot shows the number of weeks that songs have been on the top 20 country songs list. would the mean, median, mode, or range best represent the data? explain....
- M Mathematics The radius of the earth is approximately 3,960 miles. find the approximate surface-area-to-volume ratio of the earth. a. 0.00025 b. 0.00076 c. 1,320 d. 11,880...
Ответ:
Yes, there is enough evidence to support the claim that dog owners in the country spend more time walking their dogs than do dog owners in the city (P-value=0.0000263).
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that dog owners in the country (sample 2) spend more time walking their dogs than do dog owners in the city (sample 1).
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample 1, of size n1=20 has a mean of 10 and a standard deviation of 3.
The sample 2, of size n2=21 has a mean of 15 and a standard deviation of 4.
The difference between sample means is Md=-5.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
This test is a left-tailed test, with 39 degrees of freedom and t=-4.54, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0000263) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that dog owners in the country spend more time walking their dogs than do dog owners in the city.
Ответ:
Now suppose that the first sock drawn is black. Take that sock out of the basket. This leaves 23 black socks. Figure out the probability that the next sock drawn will also be black. Note: the total number of socks is now 41, not 42.
Finally, mult. these 2 probabilities together. Why?