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MAXImum [283]
2 years ago
6

To estimate LaTeX: \muμ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a

random sample of 400 full professors. The sample mean is LaTeX: \bar{x} = $73,220 x ¯ = $ 73 , 220 and the sample standard deviation is s = $4400. A 99% confidence interval for LaTeX: \mu μ is Group of answer choices
A. 73220 +/- 11440

B. 73220 +/- 568

C. 73220 +/- 431

D. 73220 +/- 28.6
Mathematics
1 answer:
Hatshy [7]2 years ago
8 0

Answer:

99% confidence interval for \mu = 73220 \pm 565.4

Step-by-step explanation:

Sample mean = \bar{x} =73220

Standard deviation = s = 4400

Z at 99%  confidence level = 2.57

Sample = n = 400

Formula of confidence interval :\bar{x} \pm Z \times \frac{s}{\sqrt{n}}

Substitute the values in the formula :

So,99% confidence interval for \mu = 73220 \pm 2.57 (\frac{4400}{\sqrt{400}})

99% confidence interval for \mu = 73220 \pm 565.4

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2 years ago
Express the null hypothesis and the alternative hypothesis in symbolic form. The owner of a football team claims that the averag
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Answer:

H0: μ ≤ 68,800

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The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (H1) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

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The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H0: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H1: μ > 68,800

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