Question

H0: u = 735, H1: u > 735

n = 10

mean = 736.5399

Std dev = 18.8971

C = 0.95

a) What test (left tailed or right tailed) is used?

b) Is the null hypothesis rejected or do we fail to reject it? Why?

Answer #1

Suppose you want to test H0: u
<=100 against H1: u>
100 using a significance level of 0.05. The population is normally
distributed with a standard deviation of 75. A random sample size
of n = 40 will be used. If u = 130, what
is the probability of correctly rejecting a false null hypothesis?
What is the probability that the test will incorrectly fail to
reject a false null hypothesis?

N
Mean
Std. Deviation
Std. Error Mean
AGE
25
35.6800
11.2979
2.2596
If we test H0: μ ≥ 40, can we reject the null
hypothesis? Compare the p-value from the output to the
alpha level to make your decision.
(Hint: This is a one-tailed test; Use the two-tailed
p-value (from the output) divided by 2 to get one-tailed
p-value)
Yes, at both the .01 and .05 levels.
At the .01 level, but not at the .05 level.
At...

Test the claim that the mean GPA of night students is smaller
than 3 at the .05 significance level.
The null and alternative hypothesis would be:
H0:p=0.75
H1:p≠0.75
H0:μ=3
H1:μ>3
H0:p=0.75
H1:p>0.75
H0:μ=3
H1:μ<3
H0:p=0.75
H1:p<0.75
H0:μ=3
H1:μ≠3
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 35 people, the sample mean GPA was 2.97 with a
standard deviation of 0.08
The test statistic is: (to 2 decimals)
The critical value is: (to 2 decimals)
Based on this we:
Fail...

Test the claim that the mean GPA of night students is larger
than the mean GPA of day students at the 0.10 significance
level.
The null and alternative hypothesis would be:
H0:μN≤μD
H1:μN>μD
H0:μN≥μD
H1:μN<μD
H0:pN≤pD
H1:pN>pD
H0:μN=μD
H1:μN≠μD
H0:pN=pD
H1:pN≠pD
H0:pN≥pD
H1:pN<pD
The test is:
two-tailed
left-tailed
right-tailed
The sample consisted of 35 night students, with a sample mean GPA
of 2.74 and a standard deviation of 0.07, and 35 day students, with
a sample mean GPA of 2.73...

Test the claim that the mean GPA of night students is smaller
than 3.1 at the 0.005 significance level. You believe the
population is normally distributed, but you do not know the
standard deviation.
The null and alternative hypothesis would be:
H0:μ≥3.1
H1:μ<3.1
H0:p≥0.775H0
H1:p<0.775H1
H0:p=0.775H0
H1:p≠0.775H1
H0:μ=3.1H0
H1:μ≠3.1H1
H0:μ≤3.1H0
H1:μ>3.1H1
H0:p≤0.775H0
H1:p>0.775H1
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 20 people, the sample mean GPA was 3.06
with a standard deviation of 0.05
The test...

Test the claim that the mean GPA of night students is smaller
than 2.9 at the 0.025 significance level.
The null and alternative hypothesis would be: (MULTIPLE
CHOICE)
A.) H0:p=0.725H0:p=0.725
H1:p?0.725H1:p?0.725
B.) H0:p=0.725H0:p=0.725
H1:p<0.725H1:p<0.725
C.) H0:?=2.9H0:?=2.9
H1:?>2.9H1:?>2.9
D.) H0:?=2.9H0:?=2.9
H1:??2.9H1:??2.9
E.) H0:?=2.9H0:?=2.9
H1:?<2.9H1:?<2.9
F.) H0:p=0.725H0:p=0.725
H1:p>0.725H1:p>0.725
The test is: left tailed, right tailed or two tailed?
Based on a sample of 75 people, the sample mean GPA was 2.86
with a standard deviation of 0.07. The p-value is: ____ (to...

1) Test the claim that the mean GPA of night students is smaller
than 3.1 at the 0.02 significance level.
a. The null and alternative hypotheses would be:
H0:p=0.775
H1:p≠0.775
H0:p=0.775
H1:p<0.775
H0:μ=3.1
H1:μ≠3.1
H0:μ=3.1
H1:μ>3.1
H0:μ=3.1
H1:μ<3.1
H0:p=0.775
H1:p>0.775
b. The test is:
*left-tailed
*right-tailed
*two-tailed
2) Based on a sample of 31 people, the sample mean GPA was 3.08
with a standard deviation of 0.14
a. The p-value is: ______ (to 3 decimals)
b. The significance level is:...

Test the claim that the mean GPA of night students is
significantly different than 2.3 at the 0.05 significance
level.
The null and alternative hypothesis would be:
H0:p=0.575
H1:p>0.575
H0:μ=2.3
H1:μ≠2.3
H0:p=0.575
H1:p≠0.575
H0:p=0.575
H1:p<0.575
H0:μ=2.3
H1:μ>2.3
H0:μ=2.3
H1:μ<2.3
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 40 people, the sample mean GPA was 2.26 with a
standard deviation of 0.04
The test statistic is:______ (to 2 decimals)
The positive critical value is:________ (to 2 decimals)
Based...

Test the claim that the mean GPA of night students is
significantly different than the mean GPA of day students at the
0.2 significance level.
The null and alternative hypothesis would be:
H0:pN=pD
H1:pN<pD
H0:pN=pD
H1:pN≠pD
H0:pN=pD
H1:pN>pD
H0:μN=μD
H1:μN≠μD
H0:μN=μD
H1:μN<μD
H0:μN=μD
H1:μN>μD
The test is:
two-tailed
right-tailed
left-tailed
The sample consisted of 25 night students, with a sample mean GPA
of 2.01 and a standard deviation of 0.08, and 60 day students, with
a sample mean GPA of...

Test the claim that the mean GPA of night students is smaller
than 3 at the .10 significance level.
The null and alternative hypothesis would be:
H0:p=0.75H0:p=0.75
H1:p<0.75H1:p<0.75
H0:μ=3H0:μ=3
H1:μ<3H1:μ<3
H0:μ=3H0:μ=3
H1:μ≠3H1:μ≠3
H0:p=0.75H0:p=0.75
H1:p≠0.75H1:p≠0.75
H0:μ=3H0:μ=3
H1:μ>3H1:μ>3
H0:p=0.75H0:p=0.75
H1:p>0.75H1:p>0.75
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 35 people, the sample mean GPA was 2.97 with a
standard deviation of 0.08
The test statistic is: (to 2 decimals)
The critical value is: (to 2 decimals)
Based on this we:
Reject...

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