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slavikrds [6]
3 years ago
10

FiftyFifty adult men in the United States are randomly selected and measured for their body mass index​ (BMI). Based on that​ sa

mple, it is estimated that the average​ (mean) BMI for men is 26.526.5​, with a margin of error of 3.23.2. Use the given statistic and margin of error to identify the range of values​ (confidence interval) likely to contain the true value of the population parameter.
Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
6 0

Answer:

(23.3, 29.7)

Step-by-step explanation:

We are given the following information  the question:

Sample mean = 26.5

Sample size = 50

Margin of error = 3.2

Confidence Interval:

\text{Sample mean} \pm \text{Margin of error}\\= 26.5 \pm 3.2 = (23.3, 29.7)

Thus, the true value of the population parameter lies in the range (23.3, 29.7)

Fynjy0 [20]3 years ago
3 0

Answer: (23.3,\ 29.7)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}\pm ME., where \overline{x} is the sample mean and ME is the margin of error .

Given : The sample mean : \overline{x}=26.5

Margin of error : ME=3.2

Then , the range of values​ (confidence interval) likely to contain the true value of the population parameter will be :-

26.5\pm 3.2=(26.5-3.2,\ 26.5+3.2)=(23.3,\ 29.7)

Hence, the range of values​ likely to contain the true value of the population parameter =  (23.3,\ 29.7)

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