Question

1. The sample mean and standard deviation from a random sample of 34 observations from a...

1. The sample mean and standard deviation from a random sample of 34 observations from a normal population were computed as x¯=29 x ¯ = 29 and s = 8. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 10% significance level that the population mean is greater than 26.

Test Statistic=

2. The hypothesis test

H0:μ=36

H 1 :μ≠36

is to be carried out. A random sample is selected, and yields x¯=38 x ¯ = 38 and s = 15. If the value of the t statistic is t=0.730296743340221, what is the sample size? (If rounding is required, round to the nearest integer.) Sample Size =

3. Katie 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 9 obituaries from newspapers from rural towns in Idaho give x¯=79.25 x ¯ = 79.25 and s=2.62 s = 2.62 . 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 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)

H 0 :

H a :

(b) Find the test statistic, t =

(c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (Use a 10% level of significance)

(Type: Yes or No)

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