Many students brag that they have more than 150 friends on a social media platform. For a class project, a group of students asked a random sample of 13 students at their college who used the social media platform about their number of friends and got the data available below. Is there strong evidence that the mean number of friends for the student population at the college who use the social media platform is larger than 150? Use the Inference for a Population Mean web app to complete parts a through d below. Be sure to use the data in this exercise and not the preloaded data when using the web app. Click the icon to view the data about the numbers of friends. (Type integers or decimals. Do not round.) c. Find and interpret the test statistic value. t= 0.61 (Round to two decimal places as needed.) What does the test statistic value represent? C OA. The test statistic value is the number of standard deviations from the null hypothesis value to the sample mean. OB. The test statistic value is the expected mean of the differences between the sample data and the null hypothesis value. C. The test statistic value is the number of standard errors from the null hypothesis value to the sample mean. OD. The test statistic value is the difference between the sample mean and the null hypothesis value. d. Report and interpret the P-value and state the conclusion in context. Use a significance level of 0.05. The P-value is 0.277. (Round to three decimal places as needed.) What does the P-value represent? O A. The P-value is the probability of observing a sample mean this high or higher if the null hypothesis is true. OB. The P-value is the probability of observing the obtained value of the sample mean if the null hypothesis is rejected. OC. The P-value is the probability of the null hypothesis being true. OD. The P-value is the probability of observing a sample mean this low or lower if the null hypothesis is true.
Many students brag that they have more than 150 friends on a social media platform. For a class project, a group of students asked a random sample of 13 students at their college who used the social media platform about their number of friends and got the data available below. Is there strong evidence that the mean number of friends for the student population at the college who use the social media platform is larger than 150? Use the Inference for a Population Mean web app to complete parts a through d below. Be sure to use the data in this exercise and not the preloaded data when using the web app. Click the icon to view the data about the numbers of friends. (Type integers or decimals. Do not round.) c. Find and interpret the test statistic value. t= 0.61 (Round to two decimal places as needed.) What does the test statistic value represent? C OA. The test statistic value is the number of standard deviations from the null hypothesis value to the sample mean. OB. The test statistic value is the expected mean of the differences between the sample data and the null hypothesis value. C. The test statistic value is the number of standard errors from the null hypothesis value to the sample mean. OD. The test statistic value is the difference between the sample mean and the null hypothesis value. d. Report and interpret the P-value and state the conclusion in context. Use a significance level of 0.05. The P-value is 0.277. (Round to three decimal places as needed.) What does the P-value represent? O A. The P-value is the probability of observing a sample mean this high or higher if the null hypothesis is true. OB. The P-value is the probability of observing the obtained value of the sample mean if the null hypothesis is rejected. OC. The P-value is the probability of the null hypothesis being true. OD. The P-value is the probability of observing a sample mean this low or lower if the null hypothesis is true.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question 7, 9.3.33
Transcribed Image Text:Many students brag that they have more than 150 friends on a social media platform. For a class project, a group of students asked a random sample of 13 students at their college who used the
social media platform about their number of friends and got the data available below. Is there strong evidence that the mean number of friends for the student population at the college who use the
social media platform is larger than 150? Use the Inference for a Population Mean web app to complete parts a through d below. Be sure to use the data in this exercise and not the preloaded data
when using the web app.
Click the icon to view the data about the numbers of friends.
(Type integers or decimals. Do not round.)
c. Find and interpret the test statistic value.
t = 0.61 (Round to two decimal places as needed.)
What does the test statistic value represent?
A. The test statistic value is the number of standard deviations from the null hypothesis value to the sample mean.
B. The test statistic value is the expected mean of the differences between the sample data and the null hypothesis value.
C. The test statistic value is the number of standard errors from the null hypothesis value to the sample mean.
D. The test statistic value is the difference between the sample mean and the null hypothesis value.
d. Report and interpret the P-value and state the conclusion in context. Use a significance level of 0.05.
The P-value is 0.277.
(Round to three decimal places as needed.)
What does the P-value represent?
A. The P-value is the probability of observing a sample mean this high or higher if the null hypothesis is true.
B. The P-value is the probability of observing the obtained value of the sample mean if the null hypothesis is rejected.
C. The P-value is the probability of the null hypothesis being true.
D. The P-value is the probability of observing a sample mean this low or lower if the null hypothesis is true.
Transcribed Image Text:Numbers of Friends
250 255 230 185 250 95 120 20
260
95 160
40 175
0
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