Question

50 POINTS!! Select the correct answer.
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that
the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location.
By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
OA. $257.82 and $272.18
OB.
$254.23 and $275.77
Ос.
$261.41 and $268.59
OD.
$264.37 and $265.63

Answer 1

Answer:

its A :)

Step-by-step explanation:

trust me i just took the test on plato

Answer 2

By the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

What does the central limit theorem postulate?

The central limit theorem (CLT) postulates that the distribution of sample means approximates a normal distribution with larger sample sizes, disregarding the population's distribution.

This implies that sample sizes equal to or greater than 30 are often considered sufficient for the CLT to hold.

Data:

Population mean = $265

Standard deviation = $40.93

Sample size = 130

Confidence level = 95%

Thus, by the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

Learn more about the central limit theorem at https://brainly.com/question/14781796

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