The mean salary of actuaries is LaTeX: \mu=\$100,000=$100,000 and the standard deviation is LaTeX: \sigma=\$36,730=$36,730. You are interested to know if the mean salary for women actuaries is different from the population mean, but are not sure if it is higher or lower. You set up a hypothesis test with level of significance LaTeX: \alpha=0.05=0.05 and LaTeX: H_0:~~\mu=100,000H0: =100,000 LaTeX:H_a:~~\mu\neq100,000H: ≠100,000 You collect a simple random sample of LaTeX: n=36=36 women's salaries and find that LaTeX: \bar{x}=\$111,000x¯=$111,000. Use this information for next three questions. What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)

The lower limit of 95% confidence interval is 99002.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100,000

Sample mean, = $111,000

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = $36,730

First, we design the null and the alternate hypothesis

We have to find the lower limit of the 95% confidence interval.

95% Confidence interval:

Putting the values, we get,

The lower limit of 95% confidence interval is 99002.

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2