Katie thinks that people living in a rural environment have a healthier lifestyl
ID: 3072960 • Letter: K
Question
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 10 obituaries from newspapers from rural towns in Idaho give x¯=79.93 and s=2.15. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years?
(a) State the null and alternative hypotheses:
(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)
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
: Mean of population
H0 : = 77
HA : > 77
Hypothesis test results:
Hence,
a) Hypotheses:
H0 : < 77
HA : > 77
b) Test statistic = 4.3095
c) Yes
Mean Sample Mean Std. Err. DF T-Stat P-value 79.93 0.6798897 9 4.3095226 0.001Related Questions
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