PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
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Answer:
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.