Lois thinks that people living in a rural environment have a healthier lifestyle than other people. she believes the average lifespan in the usa is 77 years. a random sample of 12 obituaries from newspapers from rural towns in idaho give x¯=81.03 and s=1.53. does this sample provide evidence that people living in rural idaho communities live longer than 77 years?

(a) state the null and alternative hypotheses: (type "mu" for the symbol μ , e. g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) h0 : ha:

(b) find the test statistic, t =

Yes, this sample provide evidence that people living in rural communities live longer than 77 years.

Step-by-step explanation:

Since we have given that

Average lifespan in the USA = 77 years

We need to check whether the people living in rural communities live longer than 77 years.

So, Hypothesis would be

Since n = 12

since n <30 so, we will use t test.

So, the test statistic value is given by

degrees of freedom = df = n-1 = 12-1 =11

At 95% significance level , t = 1.796

Since, 1.796< 9.125

So, we will reject the null hypothesis.

Hence, Yes, this sample provide evidence that people living in rural communities live longer than 77 years.

452,489 to the nearest thousand is 452,000

x+14

step-by-step explanation: