The average salary for American college graduates is $45,900. You suspect that the average is more for graduates from your college. The 46 randomly selected graduates from your college had an average salary of $47,317 and a standard deviation of $7,160. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0: p or μ Select an answer > = ≠ < ___ H1: p or μ Select an answer > = < ≠ ____ The test statistic t or z = __(please show your answer to 3 decimal places.)
The average salary for American college graduates is $45,900. You suspect that the average is more for graduates from your college. The 46 randomly selected graduates from your college had an average salary of $47,317 and a standard deviation of $7,160. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0: p or μ Select an answer > = ≠ < ___ H1: p or μ Select an answer > = < ≠ ____ The test statistic t or z = __(please show your answer to 3 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
The average salary for American college graduates is $45,900. You suspect that the average is more for graduates from your college. The 46 randomly selected graduates from your college had an average salary of $47,317 and a standard deviation of $7,160. What can be concluded at the αα = 0.05 level of significance?
- For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
- The null and alternative hypotheses would be:
H0: p or μ Select an answer > = ≠ < ___
H1: p or μ Select an answer > = < ≠ ____
- The test statistic t or z = __(please show your answer to 3 decimal places.)
- The p-value = ___(Please show your answer to 4 decimal places.)
- The p-value is ≤ or > a
- Based on this, we should Select an answer fail to reject reject accept the null hypothesis.a
- Thus, the final conclusion is that ...
- The data suggest that the population mean is not significantly greater than 45,900 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 45,900.
- The data suggest that the populaton mean is significantly greater than 45,900 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 45,900.
- The data suggest that the sample mean is not significantly greater than 45,900 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 47,317.
- Interpret the p-value in the context of the study.
- There is a 9.31685111% chance of a Type I error.
- There is a 9.31685111% chance that the population mean salary for graduates from your college is greater than $45,900 .
- If the population mean salary for graduates from your college is $45,900 and if another 46 graduates from your college are surveyed then there would be a 9.31685111% chance that the sample mean for these 46 graduates from your college surveyed would be greater than $47,317.
- If the population mean salary for graduates from your college is $45,900 and if another 46 graduates from your college are surveyed then there would be a 9.31685111% chance that the population mean salary for graduates from your college would be greater than $45,900.
- Interpret the level of significance in the context of the study.
- If the population population mean salary for graduates from your college is greater than $45,900 and if another 46 graduates from your college are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for graduates from your college is equal to $45,900.
- If the population mean salary for graduates from your college is $45,900 and if another 46 graduates from your college are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for graduates from your college is greater than $45,900.
- There is a 5% chance that your won't graduate, so what's the point?
- There is a 5% chance that the population mean salary for graduates from your college is greater than $45,900.
![7:40
A myopenmath.com
The average salary for American college graduates is
$45,900. You suspect that the average is more for
graduates from your college. The 46 randomly selected
graduates from your college had an average salary of
$47,317 and a standard deviation of $7,160. What can be
concluded at the a = 0.05 level of significance?
a. For this study, we should use
Select an answer
b. The null and alternative hypotheses would be:
Но:
Select an answer
H1:
? V
Select an answer
C. The test statistic
?
(please show
your answer to 3 decimal places.)
d. The p-value =
(Please show your answer
to 4 decimal places.)
e. The p-value is [ ? ▼
f. Based on this, we should [ Select an answer v the null
hypothesis.
g. Thus, the final conclusion is that ...
The data suggest that the population mean is
not significantly greater than 45,900 at a =
0.05, so there is statistically insignificant
evidence to conclude that the population
mean salary for graduates from your college is
greater than 45,900.
| The data suggest that the populaton mean is
significantly greater than 45,900 at a = 0.05,
so there is statistically significant evidence to
conclude that the population mean salary for
graduates from your college is greater than
45,900.
The data suggest that the sample mean is not
significantly greater than 45,900 at a = 0.05,
so there is statistically insignificant evidence
to contiuuE Chat the sampte 'mean salary for](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8d90586-8ee5-4f8a-becc-e643f0a94389%2F674b58b9-5bf1-482e-b406-edef8961ec1e%2F0rx7pyf_processed.png&w=3840&q=75)
Transcribed Image Text:7:40
A myopenmath.com
The average salary for American college graduates is
$45,900. You suspect that the average is more for
graduates from your college. The 46 randomly selected
graduates from your college had an average salary of
$47,317 and a standard deviation of $7,160. What can be
concluded at the a = 0.05 level of significance?
a. For this study, we should use
Select an answer
b. The null and alternative hypotheses would be:
Но:
Select an answer
H1:
? V
Select an answer
C. The test statistic
?
(please show
your answer to 3 decimal places.)
d. The p-value =
(Please show your answer
to 4 decimal places.)
e. The p-value is [ ? ▼
f. Based on this, we should [ Select an answer v the null
hypothesis.
g. Thus, the final conclusion is that ...
The data suggest that the population mean is
not significantly greater than 45,900 at a =
0.05, so there is statistically insignificant
evidence to conclude that the population
mean salary for graduates from your college is
greater than 45,900.
| The data suggest that the populaton mean is
significantly greater than 45,900 at a = 0.05,
so there is statistically significant evidence to
conclude that the population mean salary for
graduates from your college is greater than
45,900.
The data suggest that the sample mean is not
significantly greater than 45,900 at a = 0.05,
so there is statistically insignificant evidence
to contiuuE Chat the sampte 'mean salary for
![7:40
A myopenmath.com
g. Thus, the final conclusion is that ...
The data suggest that the population mean is
not significantly greater than 45,900 at a =
0.05, so there is statistically insignificant
evidence to conclude that the population
mean salary for graduates from your college is
greater than 45,900.
The data suggest that the populaton mean is
significantly greater than 45,900 at a = 0.05,
so there is statistically significant evidence to
conclude that the population mean salary for
graduates from your college is greater than
45,900.
The data suggest that the sample mean is not
significantly greater than 45,900 at a = 0.05,
so there is statistically insignificant evidence
to conclude that the sample mean salary for
graduates from your college is greater than
47,317.
h. Interpret the p-value in the context of the study.
There is a 9.31685111% chance of a Type I
error.
There is a 9.31685111% chance that the
population mean salary for graduates from
your college is greater than $45,900 .
If the population mean salary for graduates
from your college is $45,900 and if another 46
graduates from your college are surveyed then
there would be a 9.31685111% chance that the
sample mean for these 46 graduates from your
college surveyed would be greater than
$47,317.
If the population mean salary for graduates
from your college is $45,900 and if another 46
graduates from your college are surveyed then
there would be a 9.31685111% chance that the
population mean salary for graduates from
your college would be greater than $45,900.
i. Interpret the level of significance in the context of
the study.
If the population p
putation mean salary for](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8d90586-8ee5-4f8a-becc-e643f0a94389%2F674b58b9-5bf1-482e-b406-edef8961ec1e%2Ffcm4ilj_processed.png&w=3840&q=75)
Transcribed Image Text:7:40
A myopenmath.com
g. Thus, the final conclusion is that ...
The data suggest that the population mean is
not significantly greater than 45,900 at a =
0.05, so there is statistically insignificant
evidence to conclude that the population
mean salary for graduates from your college is
greater than 45,900.
The data suggest that the populaton mean is
significantly greater than 45,900 at a = 0.05,
so there is statistically significant evidence to
conclude that the population mean salary for
graduates from your college is greater than
45,900.
The data suggest that the sample mean is not
significantly greater than 45,900 at a = 0.05,
so there is statistically insignificant evidence
to conclude that the sample mean salary for
graduates from your college is greater than
47,317.
h. Interpret the p-value in the context of the study.
There is a 9.31685111% chance of a Type I
error.
There is a 9.31685111% chance that the
population mean salary for graduates from
your college is greater than $45,900 .
If the population mean salary for graduates
from your college is $45,900 and if another 46
graduates from your college are surveyed then
there would be a 9.31685111% chance that the
sample mean for these 46 graduates from your
college surveyed would be greater than
$47,317.
If the population mean salary for graduates
from your college is $45,900 and if another 46
graduates from your college are surveyed then
there would be a 9.31685111% chance that the
population mean salary for graduates from
your college would be greater than $45,900.
i. Interpret the level of significance in the context of
the study.
If the population p
putation mean salary for
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