Question

In a test of the hypothesis H_{o}_{:} μ = 50
versus H_{a}_{:} μ ≠ 50,

with a sample of n = 100 has a Sample Mean = 49.4 and Sample
Standard Deviation, *S* = 4.1.

(a) * Find the p-value for the test.* (b)

Answer #1

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1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠
15 A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3. a. Compute the value of the test
statistic. b. What is the p value? c. At α = 0.05, what is the
rejection rule using the critical value? What is your
conclusion?
2. Consider the following hypothesis test: Ho: μ ≤ 51 H1: μ >
51 A sample...

1. Consider the following hypothesis test: Ho: μ = 15 H1: μ ≠
15
A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3.
a. Compute the value of the test statistic. b. What is the p
value? c. At α = 0.05, what is the rejection rule using the
critical value? What is your conclusion?

Consider the following hypothesis test:
Ho: μ ≥ 40
Ha: μ < 40
A sample of 49 provides a sample mean of 38 and a sample
standard deviation of 7. Given a test statistic of t=-2, what is
the conclusion in the above test?

In a test of the hypothesis
Upper H 0 : mu equals 53H0: μ=53
versus
Upper H Subscript a Baseline : mu greater than 53Ha:
μ>53,
a sample of
n equals 100n=100
observations possessed mean
x overbarxequals=52.452.4
and standard deviation
sequals=3.53.5.
Find and interpret the p-value for this test.

Consider the following hypothesis test.
H0: μ = 15
Ha: μ ≠ 15
A sample of 58 provided a sample mean x = 14 and a
sample standard deviation s = 6.3.
(a) Compute the value of the test statistic.
(b) Use the t distribution table to compute a range for
the p-value.
(c) At α = 0.05, what is your conclusion?
(d) What is the rejection rule using the critical value? What is
your conclusion?

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 5.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNo
Answer the next three questions using the critical value
approach.
d. Using α...

You wish to test the following claim (Ha) at a significance
level of α=0.02.
Ho: μ = 83.4
Ha: μ > 83.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=54, with
mean M=85.2, and a standard deviation of SD=11.7.
1. What is the test statistic for this sample? (Report
answer accurate to THREE decimal places.)
test statistic =
2. What is the p-value for this sample?...

We wish to test H0: μ = 120 versus Ha:
μ ¹ 120, where ? is known to equal 14. The sample of n = 36
measurements randomly selected from the population has a mean of ?̅
= 15.
a. Calculate the value of the test
statistic z.
b. By comparing z with a critical
value, test H0 versus Ha at ? = .05.

In a test of H0: μ = 200 against Ha: μ
> 200, a sample of n = 120 observations possessed mean = 202 and
standard deviation s = 34. Find the p-value for this test. Round
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Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 6.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNoItem 3
Answer the next three questions using the critical value
approach.
d. Using...

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