In 1960, census results indicated that the age at which men in a certain region first married had a mean of 23.5 years. We want to find out if the mean age of first marriage has changed/differed from 23.5 years (µ≠23.5) since then. The 40 men in our sample first married at an average age of 24.3 years, with a sample standard deviation s of 5.3 years. The P-value is 0.346. State the conclusion using α = 0.10.

There is not sufficient evidence that the mean age of first marriage differs the mean age in 1960.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 23.5 years

Sample mean, = 24.3 years

Sample size, n = 40

Alpha, α = 0.10

Sample standard deviation, s = 5.3 years

P-value = 0.346

First, we design the null and the alternate hypothesis

We use Two-tailed t test to perform this hypothesis.

Formula:

Putting all the values, we have

P-value = 0.346

Since the calculated p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not sufficient evidence that the mean age of first marriage differs the mean age in 1960.

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: