Question

In a hypothesis test with hypotheses **H _{o:} μ
≥** 80 and

-What is the critical value of z? -1.96, 1.645, 1.96 or -1.645

-What is the value of the test statistic, *z*, rounded to
three decimal places?

-What is the *p*-value for this hypothesis test, rounded
to four decimal places?

-Should you reject or fail to reject the null hypothesis in this test?

Answer #1

In a hypothesis test with hypotheses H 0 : μ ≤ 45 and H 1 : μ
> 45 , a random sample of 69 elements selected from the
population produced a mean of 47.3. Assume that σ = 7.3, and that
the test is to be made at the 2.5% significance level. What is the
critical value of z? -1.96 1.96 -1.65 1.65 What is the value of the
test statistic, z, rounded to three decimal places? What is...

In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 : μ ≠
90 , a random sample of 16 elements selected from the population
produced a mean of 85.8 and a standard deviation of 5.7. The test
is to be made at the 10% significance level. Assume the population
is normally distributed.
What are the critical values of t?
-1.341 and 1.341
-1.746 and 1.746
-1.753 and 1.753
-1.645 and 1.645
What is the...

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...

Conduct the stated hypothesis test for μ 1− μ 2. μ 1−
μ 2. Assume that the samples are independent and randomly selected
from normal populations.
H0 : μ 1− μ 2=0H0 : μ 1− μ 2=0
H1 : μ 1− μ 2 ≠ 0H1 : μ 1− μ 2 ≠ 0
α =0.02 α =0.02
n1=37n1=37
x̄ 1=2,263 x̄ 1=2,263
σ 1=150 σ 1=150
n2=33n2=33
x̄ 2=2,309 x̄ 2=2,309
σ 2=177.3 σ 2=177.3
Standard Normal Distribution Table
a. Calculate the test statistic.
z=z=
Round...

Conduct the stated hypothesis test for μ 1− μ 2. μ 1−
μ 2. Assume that the samples are independent and randomly selected
from normal populations with equal population
variances ( σ 12= σ 22)( σ 12= σ 22).
H0 : μ 1− μ 2=0H0 : μ 1− μ 2=0
H1 : μ 1− μ 2 < 0H1 : μ 1− μ 2 <
0
α =0.025 α =0.025
n1=27n1=27
x̄ 1=8.76 x̄ 1=8.76
s1=1.26s1=1.26
n2=25n2=25
x̄ 2=9.44 x̄ 2=9.44
s2=1.29
a. Calculate the test...

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?

Test Ho: µ =100; H1: µ < 100, using n = 36 and alpha = .05 If
the sample mean=106 and the sample standard
deviation = 15, which of the following is true?
A. test statistic = 2.4; the critical value = -1.69; we fail to
reject Ho.
B. test statistic = 1.96; the critical value = -1.69; we fail to
reject Ho.
C. test statistic = 2.40; the critical value = -1.69; we reject
Ho.
D. test statistic =...

A researcher wants to test if the mean annual salary of all
lawyers in a city is different from $110,000. A random sample of 51
lawyers selected from the city reveals a mean annual salary of
$105000. Assume that σ=$20000, and that the test is to be made at
the 2% significance level.
What are the critical values of z?
-1.645 and 1.645
-1.28 and 1.28
-2.33 and 2.33
-2.05 and 2.05
What is the value of the test statistic,...

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).

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