The test statistic for the hypothesis would be 1.413.
Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.
The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.
Hypothesis:
Null hypothesis:H₀:μ=13
Alternative hypothesis:Hₐ:μ>13
Here, μ be the mean weight loss of all participants.
n=30,
Degree of freedom n-1=30-1=29
=13.8 and s=3.1
To test the null hypothesis H₀, the value of test static would be calculated as follows:

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.
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The sum of 2 sides of a triangle needs to be greater than the length of the 3rd side.
14 + 29 = 43 (this is greater than 41)
14 + 41 = 55 (this is greater than 29)
29 + 41 = 70 (this is greater than 14)
(14, 29,41) can form a triangle.
Answer:
8 square units
Step-by-step explanation:
Area of the shaded shape = sum of shaded squares × 1 square unit
= 8 × 1 = 8 square units