Question

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 on this we:

- Reject the null hypothesis
- Fail to reject the null hypothesis

Answer #1

we have to test whether the mean GPA of night students is significantly different than 2.3 . So, it is a two tailed hypothesis

test is a two tailed test because we are testing for differece and difference is always two sided test

Using TI 84 calculator

press stat then tests then TTest

enter the data

x = 2.26

s = 0.04

= 2.3

n = 40

press enter, we get

t statistic = -6.32

t critical = T.INV.2T(alpha,df)

where df = n-1 =40-1 = 39 and alpha = 0.05

so, t critical = 2.02

Reject the null hypothesis (because the t statistic is greater t critical value for two tailed hypothesis, so result is significant)

a. Test the claim that the mean GPA of night students is
significantly different than 3.2 at the 0.05 significance level.
The null and alternative hypothesis would be:
Null Hypothesis: mu = 3.2
Alternative Hypothesis: mu ≠ 3.2
The test is: two-tailed
Based on a sample of 40 people, the sample mean GPA was 3.18
with a standard deviation of 0.04
The test statistic is: _____(to 2 decimals)
The positive critical value is:______ (to 2 decimals)
b. Test the claim...

Test the claim that the mean GPA of night students is
significantly different than 3.3 at the 0.01 significance
level.
The null and alternative hypothesis would be:
H0:μ=3.3H0:μ=3.3
H1:μ≠3.3H1:μ≠3.3
H0:p=0.825H0:p=0.825
H1:p≠0.825H1:p≠0.825
H0:μ=3.3H0:μ=3.3
H1:μ<3.3H1:μ<3.3
H0:μ=3.3H0:μ=3.3
H1:μ>3.3H1:μ>3.3
H0:p=0.825H0:p=0.825
H1:p>0.825H1:p>0.825
H0:p=0.825H0:p=0.825
H1:p<0.825H1:p<0.825
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 70 people, the sample mean GPA was 3.32 with a
standard deviation of 0.06
The test statistic is: (to 2 decimals)
The positive critical value is: (to 2 decimals)
Based on this...

Test the claim that the mean GPA of night students is
significantly different than 3.2 at the 0.05 significance
level.
The null and alternative hypothesis would be:
H0:μ≥3.2H0:μ≥3.2
H1:μ<3.2H1:μ<3.2
H0:μ≤3.2H0:μ≤3.2
H1:μ>3.2H1:μ>3.2
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:μ=3.2H0:μ=3.2
H1:μ≠3.2H1:μ≠3.2
H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 25 people, the sample mean GPA was 3.19 with a
standard deviation of 0.08
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject...

Test the claim that the mean GPA of night students is
significantly different than 3.2 at the 0.01 significance
level.
The null and alternative hypothesis would be:
A) H0:μ=3.2H0:μ=3.2
H1:μ≠3.2H1:μ≠3.2
B) H0:μ=3.2H0:μ=3.2
H1:μ<3.2H1:μ<3.2
C) H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
D) H0:μ=3.2H0:μ=3.2
H1:μ>3.2H1:μ>3.2
E) H0:p=0.8H0:p=0.8
H1:p>0.8H1:p>0.8
F) H0:p=0.8H0:p=0.8
H1:p<0.8H1:p<0.8
The test is:
A) right-tailed
B) two-tailed
C) left-tailed
Based on a sample of 25 people, the sample mean GPA was 3.15 with a
standard deviation of 0.03
The test statistic is:___ (to 2 decimals)...

Test the claim that the mean GPA of night students is
significantly different than 2 at the 0.1 significance level.
The null and alternative hypothesis would be:
H0:μ≥2H0:μ≥2
H1:μ<2H1:μ<2
or
H0:μ=2H0:μ=2
H1:μ≠2H1:μ≠2
or
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
or
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
or
H0:μ≤2H0:μ≤2
H1:μ>2H1:μ>2
or
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
The test is:
left-tailed
or
two-tailed
or
right-tailed
Based on a sample of 80 people, the sample mean GPA was 1.97 with a
standard deviation of 0.02
The p-value is: ____ (to 2 decimals)
Based on...

Test the claim that the mean GPA of night students is
significantly different than 3 at the 0.1 significance level.
1. 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: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
2. The test is:
two-tailed
left-tailed
right-tailed
3. Based on a sample of 75 people, the sample mean GPA was 3.05
with a standard deviation of 0.03
The p-value is: (to 2 decimals)
4. Based on this we:
Reject the null...

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 .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
significantly different than 2.8 at the 0.02 significance level.
The null and alternative hypothesis would be: H 0 : p ≤ 0.7
H0:p≤0.7 H 1 : p > 0.7 H1:p>0.7 H 0 : p ≥ 0.7 H0:p≥0.7 H 1 :
p < 0.7 H1:p<0.7 H 0 : p = 0.7 H0:p=0.7 H 1 : p ≠ 0.7
H1:p≠0.7 H 0 : μ ≥ 2.8 H0:μ≥2.8 H 1 : μ...

Test the claim that the mean GPA of night students is
significantly different than the mean GPA of day students at the
0.1 significance level.
The null and alternative hypothesis would be:
H0:μN=μDH0:μN=μD
H1:μN<μDH1:μN<μD
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
H0:pN=pDH0:pN=pD
H1:pN>pDH1:pN>pD
H0:μN=μDH0:μN=μD
H1:μN>μDH1:μN>μD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:pN=pDH0:pN=pD
H1:pN<pDH1:pN<pD
The test is:
left-tailed
two-tailed
right-tailed
The sample consisted of 65 night students, with a sample mean GPA
of 2.66 and a standard deviation of 0.06, and 40 day students, with
a sample mean GPA of...

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