Question

N |
Mean |
Std. Deviation |
Std. Error Mean |
||

AGE |
25 |
35.6800 |
11.2979 |
2.2596 |

If we test H_{0}: 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 the .05 level, but not at the .01 level. |
||

No, not at either the .01 or .05 level. |

Answer #1

**At the .05 level, but not
at the .01 level.**

n= 25, = 40

= 35.6800 , s = 11.2979

null and alternative hypothesis is

Ho: 40

H1: < 40

formula for test statistics is

t = -1.912

test statistics: t = -1.912

now calculate P-Value for this one tailed test with df= n-1 = 25 - 1 = 24, using excel command we get p-value as,

P-Value = 0.0340

decision rule is,

Reject Ho if (P-Value) < ( )

hence,

null hpothesis rejected at 0.05 but not at 0.01

**At the .05 level, but not
at the .01 level.**

A sample of 37 observations is selected from a normal
population. The sample mean is 25, and the population standard
deviation is 5. Conduct the following test of hypothesis using the
.05 significance level. H0 : μ ≤ 24 H1 : μ > 24 (a) Is this a
one- or two-tailed test? "One-tailed"-the alternate hypothesis is
greater than direction. "Two-tailed"-the alternate hypothesis is
different from direction. (b) What is the decision rule? (Round
your answer to 2 decimal places.) H0,when...

From a nationwide study, we know that the mean diastolic blood
pressure is 60 mm gH for children aged 5-6 years of age, and that
the measurements are normally distributed. Blood pressure
measurements were taken on 13 children aged 5-6 years living in a
specific community to determine whether their living conditions
resulted in a difference in mean blood pressure. For these children
the average diastolic blood pressure was found to be 55 mm Hg with
standard deviation 7.5 mm...

A sample of 36
observations is selected from a normal population. The sample mean
is 12, and the population standard deviation is 3. Conduct the
following test of hypothesis using the 0.01 significance level.
H0: μ ≤ 10
H1: μ > 10
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 when z > 2.326
Reject H0 when z ≤ 2.326
What is the value of the test statistic?
What is...

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...

A sample of 39 observations is selected from a normal
population. The sample mean is 19, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
0.10 significance level.
H0: μ ≤ 18
H1: μ >18
a.
Is this a one- or two-tailed test?
Two-tailed test
One-tailed test
b.
What is the decision rule?
Reject H0 when z ≤ 1.282
Reject H0 when z > 1.282
c.
What is the value of the test statistic?...

A sample of 34 observations is selected from a normal
population. The sample mean is 28, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
0.05 significance level.
H0: μ ≤ 26
H1: μ > 26
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 when z > 1.645
Reject H0 when z ≤ 1.645
What is the value of the test statistic? (Round your...

A sample of 39 observations is selected from a normal
population. The sample mean is 19, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
0.10 significance level.
H0: μ ≤ 18
H1: μ > 18
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 when z > 1.282
Reject H0 when z ≤ 1.282
What is the value of the test statistic? (Round your...

A sample of 34 observations is selected from a normal
population. The sample mean is 28, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
0.05 significance level. H0: μ ≤ 26 H1: μ > 26 Is this a one- or
two-tailed test? One-tailed test Two-tailed test What is the
decision rule? Reject H0 when z > 1.645 Reject H0 when z ≤ 1.645
What is the value of the test statistic? (Round your...

Question 3: Independent-Samples t-Test
Group
Statistics
type of school
N
Mean
Std. Deviation
Std. Error Mean
reading score
public
168
51.8452
10.42279
.80414
private
32
54.2500
9.19677
1.62578
Independent
Samples Test
Levene's Test for
Equality of Variances
t-test for Equality of
Means
F
Sig.
t
df
Sig. (2-tailed)
Mean Difference
Std. Error
Difference
95% Confidence
Interval of the Difference
Lower
Upper
reading score
Equal variances
assumed
.564
.453
-1.217
198
.225
-2.40476
1.97519
-6.29986
1.49034
Equal variances not
assumed
-1.326...

explain the meaning of the results
Group
Statistics
Use Internet?
N
Mean
Std. Deviation
Std. Error Mean
Hours per day watching
TV
No
473
3.52
2.793
.128
Yes
413
2.42
2.146
.106
Independent
Samples Test
Levene's Test for
Equality of Variances
F
Sig.
T
df
Sig. (2-tailed)
Hours per day watching
TV
Equal variances
assumed
20.261
.000
6.455
884
.000
Equal variances not
assumed
6.569
870.228
.000

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 15 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 49 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago