Question

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)

Answer #1

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...

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...

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...

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)...

The sample mean and standard deviation from a random sample of
29 observations from a normal population were computed as x¯=36 and
s = 10. Calculate the t statistic of the test required to determine
whether there is enough evidence to infer at the 7% significance
level that the population mean is greater than 31.
Test Statistic =

The sample mean and standard deviation from a random sample of
33 observations from a normal population were computed as x¯=34 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 30.

1) The sample mean and standard deviation from a random sample
of 22 observations from a normal population were computed as x¯=40
and s = 13. Calculate the t statistic of the test required to
determine whether there is enough evidence to infer at the 7%
significance level that the population mean is greater than 37.
Test Statistic=
2) The contents of 33 cans of Coke have a mean of x¯=12.15 and a
standard deviation of s=0.13. Find the value...

1) The sample mean and
standard deviation from a random sample of 21 observations from a
normal population were computed as ?¯=25 and s = 8. Calculate the t
statistic of the test required to determine whether there is enough
evidence to infer at the 6% significance level that the population
mean is greater than 21.
Test Statistic =
2) Golf-course
designers have become concerned that old courses are becoming
obsolete since new technology has given golfers the ability to...

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