5. It is claimed that participants of a popular weight loss programme have a mean weight loss of 10 pounds after 1 month. A medical researcher randomly selected 30 participants of the programme and recorded their weight loss (in pounds) after 1 month. The data was inputted into MINITAB for analysis. Exhibit 1, below, was subsequently generated. Test of mu- 10 vs < 10 The assumed standard deviation = 2.5 Variable Weight Loss N Exhibit 1 One-Sample Z: Weight Loss 30 Mean 8.977 StDev 2.463 SE Mean ? Z * participants on this popular weight loss programme. c) State the null and the alternative hypotheses for this test. d) Determine the missing value **'. ** a) Calculate the missing value '?'. b) Construct the 97% confidence interval for the population mean weight loss for e) Use the tables provided to approximate the missing value ***'. f) Using a level of significance a of 5%, state the decision and conclusion for this test

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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please answer parts d,e,f providing all steps and formulas

5. It is claimed that participants of a popular weight loss programme have a mean weight loss
of 10 pounds after 1 month. A medical researcher randomly selected 30 participants of the
programme and recorded their weight loss (in pounds) after 1 month. The data was inputted
into MINITAB for analysis. Exhibit 1, below, was subsequently generated.
4
Test of mu - 10 vs < 10
The assumed standard deviation = 2.5
Variable
Weight Loss
N
Exhibit 1
One-Sample Z: Weight Loss
30
Mean
8.977
StDev
2,463
SE Mean
2
N
Z
D
[2]
a) Calculate the missing value "?".
b) Construct the 97% confidence interval for the population mean weight loss for
participants on this popular weight loss programme.
c)
State the null and the alternative hypotheses for this test.
d) Determine the missing value **'.
e) Use the tables provided to approximate the missing value ***'.
f) Using a level of significance a of 5%, state the decision and conclusion for this test
[3]
Transcribed Image Text:5. It is claimed that participants of a popular weight loss programme have a mean weight loss of 10 pounds after 1 month. A medical researcher randomly selected 30 participants of the programme and recorded their weight loss (in pounds) after 1 month. The data was inputted into MINITAB for analysis. Exhibit 1, below, was subsequently generated. 4 Test of mu - 10 vs < 10 The assumed standard deviation = 2.5 Variable Weight Loss N Exhibit 1 One-Sample Z: Weight Loss 30 Mean 8.977 StDev 2,463 SE Mean 2 N Z D [2] a) Calculate the missing value "?". b) Construct the 97% confidence interval for the population mean weight loss for participants on this popular weight loss programme. c) State the null and the alternative hypotheses for this test. d) Determine the missing value **'. e) Use the tables provided to approximate the missing value ***'. f) Using a level of significance a of 5%, state the decision and conclusion for this test [3]
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