Question

**Consider the Ho: μ=45; n=48; s=18; α=5%. Write the
rejection rule for the appropriate test statistic.**

Answer #1

Solution :

This is the two tailed test,

The null and alternative hypothesis is ,

H0 : = 45

Ha : 45

s = 18

n = 48

degrees of freedom = n - 1 = 48 - 1 = 47

= 0.05

/2
= 0.025

t/2,df
= t0.025,47 = ± 2.012

rejection region = t < -2.012 or t > 2.012

#5. Consider the following
hypothesis test for the mean of a normally distributed population:
Ho: μ=80. A random sample of size 40 is
to be taken. The population standard deviation is 20. Write the
rejection rule using critical value method; use α=4%.
Please clearly identify the test-statistic (t or z or F etc).(15
points)

Consider the following hypothesis test for the mean of a
normally distributed population: Ho:
μ=80. A random sample of size 40 is to be taken. The
population standard deviation is 20. Write the rejection rule using
critical value method; use α=4%. Please clearly identify
the test-statistic (t or z or F etc).

Consider the following hypothesis test for the mean of a
normally distributed population: Ho: μ=80. A random sample of size
40 is to be taken. The population standard deviation is 20. Write
the rejection rule using critical value method; use α=4%. Please
clearly identify the test-statistic (t or z or F etc).

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?

The p-value and the value of α for a test of Ho: μ =
150 are provided for each part. Make the appropriate
conclusion regarding Ho.
P-value = .217, α = .10
P-value = .033, α = .05
P-value = .001, α = .05
P-value = .866, α = .01
P-value = .025, α = .01

The p-value and the value of α for a test of Ho: μ =
150 are provided for each part. Make the appropriate
conclusion regarding Ho.
P-value = .217, α = .10
P-value = .033, α = .05
P-value = .001, α = .05
P-value = .866, α = .01
P-value = .025, α = .01

Find test statistic and P VALUE and make conclusion for
PROPORTION: x=35, n=200, Ho: p=25%, H1: p<25%, confidence
level=0.05
Find test statistic and P VALUE and make conclusion for MEAN:
x̄=37, s=10.2, n=30, Ho: μ=32, H1: μ≠32, confidence level=0.01
Find test statistic AND P VALUE and make conclusion for TWO
PROPORTIONS: x1 = 6, n1 = 315, x2 = 80, n2 = 320, Ho: p1 = p2, HA:
p1 < p2, α = 0.1

A test is made of Ho: μ =5 ersus H1: < 5.. A sample
of size n = 87 is drawn, and. sample X = 4.5. The population
standard deviation is =25.
a. compute the value of the test statistic z.
b. Is Ho rejected at the a = 0.05 level ?
c. Is Ho rejected at the a = 0.01 level ?
please explain answer

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?...

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