Because 10 is (7). the interval, there (8). enough evidence that the average weight loss is more than 10 pounds for participants in the weight-loss program. e. What assumptions need to be made in order to perform this procedure? O A. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater. O B. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30 OC. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30. O D. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is 30 or greater. 1: Weights TII Person Before After 1 227 201 213 206 2 195 3 195 172 186 205 4 5 195 6. 197 180 7 244 230 8 190 193 (1) O does not fall between O is less than or equal to (2) O do not reject O reject (3) O sufficient O insufficient (4) O is less than or equal to O is greater than (5) O do not reject O reject (6) O sufficient O insufficient (7) O within or above O below (8) O is not O is O is greater than

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Interpret the results.
Because 10 is (7)
the interval, there (8)
enough evidence that the average weight loss is more than 10 pounds for participants in the weight-loss program.
e. What assumptions need to be made in order to perform this procedure?
O A. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater.
O B. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30.
O C. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30.
O D. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is 30 or greater.
1: Weights
Person
Before
After
1
227
201
213
195
3
206
195
4
186
172
5
205
195
6
197
180
7
244
230
8
190
193
(1) O does not fall between
is less than or equal to
O sufficient
O insufficient
(7) O within or above
O below
(2) O do not reject
(4) O is less than or equal to
O is greater than
(3)
(5) O do not reject
(6)
sufficient
(8) O is not
O reject
О reject
O insufficient
O is
O is greater than
falls between
Transcribed Image Text:Interpret the results. Because 10 is (7) the interval, there (8) enough evidence that the average weight loss is more than 10 pounds for participants in the weight-loss program. e. What assumptions need to be made in order to perform this procedure? O A. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater. O B. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30. O C. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30. O D. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is 30 or greater. 1: Weights Person Before After 1 227 201 213 195 3 206 195 4 186 172 5 205 195 6 197 180 7 244 230 8 190 193 (1) O does not fall between is less than or equal to O sufficient O insufficient (7) O within or above O below (2) O do not reject (4) O is less than or equal to O is greater than (3) (5) O do not reject (6) sufficient (8) O is not O reject О reject O insufficient O is O is greater than falls between
1. A new weight-loss program claims that participants will lose an average of more than 10 pounds after completing it. The accompanying data table shows the weights of eight individuals before and after the program. Complete parts (a) through (e) below.
1 Click the icon to view the data table.
a. Perform a hypothesis test using a = 0.10 to determine if the average weight loss was more than 10 pounds for participants in the weight-loss program. Let µ, be the population mean of matched-pair differences for the weight before the program minus the
weight after the program. State the null and alternative hypotheses. Choose the correct answer below.
О А. Но На 10
H1: Ha # 10
О В. Но На 10
H1: Ha + 10
ОС. Но: На 10
O D. Ho: Ha < 10
H1: Ha 2 10
H1: Ha < 10
O E. Ho: Ha S 10
O F. Ho: Ha + 10
H1: Ha > 10
H,: Ha = 10
b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.10.
The test statistic is
(Round to two decimal places as needed.)
The critical value(s) is(are)
(Use a comma to separat
nswers
needed. Round to two decimal places as needed.)
Interpret the results of the hypothesis test.
Since the test statistic (1)
the critical value(s), (2).
the null hypothesis. There is (3)
evidence that the mean score is lower after the weight-loss program.
c. Identify the p-value and interpret the result.
p-value =
(Round to three decimal places as needed.)
Interpret the result.
Since the p-value (4)
the significance level, (5)
the null hypothesis. There is (6)
evidence that the mean score is lower after the weight-loss program.
d. Construct an 80% confidence interval to estimate the average weight loss for individuals in the program. Interpret the results.
UCL =
LCL
(Round to two decimal places as needed.)
Transcribed Image Text:1. A new weight-loss program claims that participants will lose an average of more than 10 pounds after completing it. The accompanying data table shows the weights of eight individuals before and after the program. Complete parts (a) through (e) below. 1 Click the icon to view the data table. a. Perform a hypothesis test using a = 0.10 to determine if the average weight loss was more than 10 pounds for participants in the weight-loss program. Let µ, be the population mean of matched-pair differences for the weight before the program minus the weight after the program. State the null and alternative hypotheses. Choose the correct answer below. О А. Но На 10 H1: Ha # 10 О В. Но На 10 H1: Ha + 10 ОС. Но: На 10 O D. Ho: Ha < 10 H1: Ha 2 10 H1: Ha < 10 O E. Ho: Ha S 10 O F. Ho: Ha + 10 H1: Ha > 10 H,: Ha = 10 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.10. The test statistic is (Round to two decimal places as needed.) The critical value(s) is(are) (Use a comma to separat nswers needed. Round to two decimal places as needed.) Interpret the results of the hypothesis test. Since the test statistic (1) the critical value(s), (2). the null hypothesis. There is (3) evidence that the mean score is lower after the weight-loss program. c. Identify the p-value and interpret the result. p-value = (Round to three decimal places as needed.) Interpret the result. Since the p-value (4) the significance level, (5) the null hypothesis. There is (6) evidence that the mean score is lower after the weight-loss program. d. Construct an 80% confidence interval to estimate the average weight loss for individuals in the program. Interpret the results. UCL = LCL (Round to two decimal places as needed.)
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