Twelve different video games showing drugs were observed. The duration times of drugs were recorded, with the times (seconds)

Question

9 months ago

5

Twelve different video games showing drugs were observed. The duration times of drugs were recorded, with the times (seconds)

listed below. Assume that these sample data are used with a 0.01 significance level in a test of the claim that the population mean is greater than 75 sec. If we want to construct a confidence interval to be used for testing that claim, what confidence level should be used for a confidence interval? If the confidence interval is found to be -34.1 sec < μ < 238.3 sec, what should we conclude about the claim?
88 15 537 53 0 52 197 40 182 0 2 59

1.) The confidence level should be _____%
2.) What should we conclude about the claim?
The given confidence interval __(contains / does not contain)___ the value of 75 sec, so there ___( is / is not )___ sufficient evidence to support the claim that the mean is greater than 75 sec.

_____________________________________________

NOTE: Please explain like I'm five. I'm not understanding why the confidence level should be anything but 90% and I don't know *why* we would conclude what we would conclude about this claim.

Mathematics

1 answer:

Studentka2010 [4] · Answer 1 · 2024-02-21T17:31:50+03:00

The answers to the questions are:

1. The confidence level is 99 percent.

2. We have to conclude that there is no sufficient evidence available to support this claim because the Confidence interval contains 75 sec.

<h3>How to solve for the confidence level</h3>

1. The confidence level here should be

1- 0.01 = 0.99

= 99 percent

Given that, 99% confidence interval for population mean (μ) is (-34.1 sec u< u < 264.1 ) seconds.

We are to test the claim that the population mean is greater than 75 sec.

2.

The given confidence interval contains the value of 75 sec, so there is not sufficient evidence to support the claim that the mean is greater than 75 sec.