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ladessa [460]
3 years ago
10

Construct the 95% confidence interval for the population mean using the appropriate distributions. a. A random sample of 50 peop

le’s body mass index has a mean of 27.7 and a standard deviation of 6.12. b. The average yards per carry among all NFL
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

Answer: 95% confidence interval would be (26.01,29.39).

Step-by-step explanation:

Since we have given that

n = 50

Mean = 27.7

Standard deviation = 6.12

We need to construct 95% confidence interval for the population.

so, z = 1.96

So, it becomes,

\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=27.7\pm 1.96\times \dfrac{6.12}{\sqrt{50}}\\\\=27.7 \pm 1.69\\\\=(27.7-1.69,27.7+1.69)\\\\=(26.01,29.39)

Hence, 95% confidence interval would be (26.01,29.39).

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sergiy2304 [10]

Using translation concepts, a stretch of a decay exponential function is given by:

f(x) = 5\left(\frac{1}{5}\right)^x

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

An exponential decay function is given by:

y = ab^x

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A stretch means that the function is <u>multiplied by a factor with absolute value greater than 1</u>, hence the function would be given by:

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More can be learned about translation concepts at brainly.com/question/4521517

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