In order to determine the average price of hotel rooms in Atlanta. Using a 0.1 level of significance, we would like to test whether or not the average room price is significantly different from $110. The population standard deviation is known to be $16. A sample of 64 hotels was selected. The p-value associated with the test statistic (z) is calculated and it is 0.12.

We conclude that the average price of hotel rooms in Atlanta is NOT significantly different from $110. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)

Question

Mathematics

Dante Norton

4 May, 00:04

In order to determine the average price of hotel rooms in Atlanta. Using a 0.1 level of significance, we would like to test whether or not the average room price is significantly different from $110. The population standard deviation is known to be $16. A sample of 64 hotels was selected. The p-value associated with the test statistic (z) is calculated and it is 0.12.

We conclude that the average price of hotel rooms in Atlanta is NOT significantly different from $110. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)

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Answers (1)

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Callie Wolfe · Answer 1

1

Step-by-step explanation:

Normal distribution

size sample = 64

Standard deviation : 16

We have z (s) = 0,12

By definition

z (s) = [ (X - μ₀) / (σ/√) ⇒ 0,12 = (X - 110) / (16/√64 0,12 = (X-110) * √64/16

0.12 * 16 = (8*X - 110*8) ⇒ 1.92 + 880 = 8*X

X = 110,24