A weight loss program claims that program participants have a mean weight loss o

Question

A weight loss program claims that program participants have a mean weight loss of at least 10 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below Assume the population standard deviation is 4 At = 0 07, do you have enough evidence to reject the program's claim? Complete parts (a) through (e) 52 5.6 66 68 7.3 76 77 82 83 87 88 9 94 95 96 98 10.3 10.3 105 10.7 11 11.3 115 11.6 11.7 12.3 124 128 13.4 152 (a) Identifty Ho and H, Choose the correct answer below 0 A. Hope 10 Ha H 10 O c. Ho > 10 Ha : s 10 E. HOP-10 Ha'# 10 O B. Ho 10

Explanation / Answer

The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of variable
H0 : = 10
HA : < 10
Standard deviation = 4

Hypothesis test results:

Hence,

a) Hypotheses: Option A is correct.

b) Option B; Critical value = -1.48

Graph C is correct.

c) Test statistic z = -0.31

d) Option B is correct.

Variable n Sample Mean Std. Err. Z-Stat P-value Data 30 9.77 0.73029674 -0.31494047 0.3764

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