A random sample of 10 students were surveyed on their social activities. The students were asked to state how many times during the previous year they had gone to a movie, sporting event, or party. The accompanying table shows the responses. Complete parts a through d below. Click the icon to view the data for attending movies, sporting events, and parties. a. Find and interpret a 95% confidence interval for the difference in the mean number of events attended for parties and sporting events. Define the difference as the number of parties minus the number of sporting events. The 95% confidence interval is (-2.44,27.84). (Round to two decimal places as needed.) C It can be stated with 95% confidence that the population mean difference is between the limits of the confidence interval. Because 0 attended does not appear to be different for both types of events. (Type a whole number.) The test statistic is t = (Round to two decimal places as needed.) falls in this interval, the mean number of events b. State the hypotheses and find the P-value for a significance test comparing mean attendance for parties and sporting events. Write a conclusion. Complete the hypotheses below. Ho: Students attend the same number of parties and sporting events, or Hd Ha: Students attend a different number of parties and sporting events, or Hd # 0. = 0. Find the test statistic.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Question 3, 10.4.52

Croquonou of Attending Movie, Sports Events, and Parties
Frequency of Attending Movies, Sports Events, and Parties '
Frequency of Attending Movies, Sports Events, and Parties
Activity
Movies
Sports
9
3
1
4
12
17
1
11
IIII
15
1
10
8
49
7
1
23
29
3
16
11
Student
1
2
3
4
5
6
7890
10
Parties
26
14
7
52
8
27
50
2
25
4
Transcribed Image Text:Croquonou of Attending Movie, Sports Events, and Parties Frequency of Attending Movies, Sports Events, and Parties ' Frequency of Attending Movies, Sports Events, and Parties Activity Movies Sports 9 3 1 4 12 17 1 11 IIII 15 1 10 8 49 7 1 23 29 3 16 11 Student 1 2 3 4 5 6 7890 10 Parties 26 14 7 52 8 27 50 2 25 4
A random sample of 10 students were surveyed on their social activities. The students were asked to state how many times during the previous year they had gone to a movie, sporting event, or
party. The accompanying table shows the responses. Complete parts a through d below.
Click the icon to view the data for attending movies, sporting events, and parties.
a. Find and interpret a 95% confidence interval for the difference in the mean number of events attended for parties and sporting events. Define the difference as the number of parties minus the
number of sporting events.
The 95% confidence interval is ( – 2.44, 27.84).
(Round to two decimal places as needed.)
It can be stated with 95% confidence that the population mean difference is between the limits of the confidence interval. Because 0
attended does not appear to be different for both types of events.
(Type a whole number.)
b. State the hypotheses and find the P-value for a significance test comparing mean attendance for parties and sporting events. Write a conclusion. Complete the hypotheses below.
Ho: Students attend the same number of parties and sporting events, or µd
Ha: Students attend a different number of parties and sporting events, or μd # 0.
= 0.
▼
Find the test statistic.
falls in this interval, the mean number events
The test statistic is t =
(Round to two decimal places as needed.)
Transcribed Image Text:A random sample of 10 students were surveyed on their social activities. The students were asked to state how many times during the previous year they had gone to a movie, sporting event, or party. The accompanying table shows the responses. Complete parts a through d below. Click the icon to view the data for attending movies, sporting events, and parties. a. Find and interpret a 95% confidence interval for the difference in the mean number of events attended for parties and sporting events. Define the difference as the number of parties minus the number of sporting events. The 95% confidence interval is ( – 2.44, 27.84). (Round to two decimal places as needed.) It can be stated with 95% confidence that the population mean difference is between the limits of the confidence interval. Because 0 attended does not appear to be different for both types of events. (Type a whole number.) b. State the hypotheses and find the P-value for a significance test comparing mean attendance for parties and sporting events. Write a conclusion. Complete the hypotheses below. Ho: Students attend the same number of parties and sporting events, or µd Ha: Students attend a different number of parties and sporting events, or μd # 0. = 0. ▼ Find the test statistic. falls in this interval, the mean number events The test statistic is t = (Round to two decimal places as needed.)
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