Question

Andrew thinks that people living in a rural environment have a healthier lifestyle than other people. He believes the average lifespan in the USA is 7777 years and the lifespans follow an approximately normal distribution. A random sample of 19 obituaries from newspapers from rural towns in Idaho give ?¯=78.63x¯=78.63 and ?=1.72s=1.72. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years?

(a) Using the 1% significance level, perform a hypothesis test.

(b) What is the probability of making Type I error?

PLEASE SHOW ALL WORK

Answer #1

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 20 obituaries
from newspapers from rural towns in Idaho give ?¯=77.73 and ?=0.62.
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 ?, e.g. mu >1 for the
mean is...

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 18 obituaries
from newspapers from rural towns in Idaho give ?¯=80.01 and ?=0.7.
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...

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 10 obituaries
from newspapers from rural towns in Idaho give x¯=77.66x¯=77.66 and
s=1.7s=1.7. 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 μμ , e.g. mu >>1 for the...

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 19 obituaries
from newspapers from rural towns in Idaho give x¯=77.58x¯=77.58 and
s=1.69s=1.69. 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 ?? , e.g. mu >>1 for
the mean...

Ben thinks that people living in a rural environment have a
healthier lifestyle than other people. He 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¯=77.98 and s=1.27.
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 μμ , e.g. mu >1 for the...

Sam thinks that there is a difference in quality of life between
rural and urban living. He collects information from obituaries in
newspapers from urban and rural towns in Idaho to see if there is a
difference in life expectancy. A sample of 14 people from rural
towns give a life expectancy of xr¯=75.6 x r ¯ = 75.6 years with a
standard deviation of sr=9.61 s r = 9.61 years. A sample of 10
people from larger towns give...

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,...

Ann thinks that there is a difference in quality of life between
rural and urban living. She collects information from obituaries in
newspapers from urban and rural towns in Idaho to see if there is a
difference in life expectancy. A sample of 12 people from rural
towns give a life expectancy of xr¯=74.4years with a standard
deviation of sr=7.54years. A sample of 17 people from larger towns
give xu¯=74.6x years and su=5.04years. Does this provide evidence
that people living...

Sue thinks that there is a difference in the quality of life
between rural and urban living. She collects information from
obituaries in newspapers from urban and rural towns in Idaho to see
if there is a difference in life expectancy. A sample of 16 people
from rural towns gives a life expectancy of xr¯=82.3 years with a
standard deviation of sr=6 years. A sample of 10 people from larger
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(1 point) Sue thinks that there is a difference in quality of
life between rural and urban living. She collects information from
obituaries in newspapers from urban and rural towns in Idaho to see
if there is a difference in life expectancy. A sample of 19 people
from rural towns give a life expectancy of xr¯=77.1 years with a
standard deviation of sr=5.61 years. A sample of 11 people from
larger towns give xu¯=72.8 years and su=9.3 years. Does this...

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