One sample z-test for means
Conditions
1. sampling distribution is approximately normal if
- Sample size n >= 30 to assume (or)
- the population distribution is normal (or) approximately mound-shaped
2. A simple random sample has been obtained
3. The sample size can be assumed to be at least 0.1*N, which is larger than the sample size if
sampling without replacement is done.
4. The value of population standard deviation (sigma) is already known so a z-test is justified.
Procedure
1. Set the null and alternate hypothesis
H0: μ = ___
H1: μ > ___(or) μ < ___ (or) μ ≠ ___
Define μ.
2. Name the test procedure: One sample z-test for means
3. Correct mechanics
x−μ
z=
σ
√n
4. State the z-statistic and p-value
5. Interpret the conclusion
p-value is greater than alpha value, so null hypothesis cannot be rejected. There isn’t sufficient
evidence to conclude that ____________________________
(or)
p-value is lower than alpha value, so null hypothesis can be rejected. There is sufficient evidence
to conclude that ________________________
, One sample t-test for means
Conditions
1. Sample size n >= 30 to assume that sampling distribution is approximately normal (or) the
sample data is approximately mound-shape (as shown through a dot plot diagram)
2. A simple random sample has been obtained
3. The sample size can be assumed to be at least less than 0.1*N, the population is sample
size*1/0.1, which is larger than the sample size if sampling without replacement is done.
4. The value of population standard deviation (sigma) is not known, so a t-test has to be used.
Procedure
Set the null and alternate hypothesis
H0: μ = ___
H1: μ > ___(or) μ < ___ (or) μ ≠ ___
Define μ.
6. Name the test procedure: One sample t-test for means
7. Correct mechanics
x−μ
t=
s
√n
df =n−1
8. State the t-statistic, df value, and p-value
9. Interpret the conclusion
p-value is greater than alpha value, so null hypothesis cannot be rejected. There isn’t sufficient
evidence to conclude that ____________________________
(or)
p-value is lower than alpha value, so null hypothesis can be rejected. There is sufficient evidence
to conclude that ________________________
Conditions
1. sampling distribution is approximately normal if
- Sample size n >= 30 to assume (or)
- the population distribution is normal (or) approximately mound-shaped
2. A simple random sample has been obtained
3. The sample size can be assumed to be at least 0.1*N, which is larger than the sample size if
sampling without replacement is done.
4. The value of population standard deviation (sigma) is already known so a z-test is justified.
Procedure
1. Set the null and alternate hypothesis
H0: μ = ___
H1: μ > ___(or) μ < ___ (or) μ ≠ ___
Define μ.
2. Name the test procedure: One sample z-test for means
3. Correct mechanics
x−μ
z=
σ
√n
4. State the z-statistic and p-value
5. Interpret the conclusion
p-value is greater than alpha value, so null hypothesis cannot be rejected. There isn’t sufficient
evidence to conclude that ____________________________
(or)
p-value is lower than alpha value, so null hypothesis can be rejected. There is sufficient evidence
to conclude that ________________________
, One sample t-test for means
Conditions
1. Sample size n >= 30 to assume that sampling distribution is approximately normal (or) the
sample data is approximately mound-shape (as shown through a dot plot diagram)
2. A simple random sample has been obtained
3. The sample size can be assumed to be at least less than 0.1*N, the population is sample
size*1/0.1, which is larger than the sample size if sampling without replacement is done.
4. The value of population standard deviation (sigma) is not known, so a t-test has to be used.
Procedure
Set the null and alternate hypothesis
H0: μ = ___
H1: μ > ___(or) μ < ___ (or) μ ≠ ___
Define μ.
6. Name the test procedure: One sample t-test for means
7. Correct mechanics
x−μ
t=
s
√n
df =n−1
8. State the t-statistic, df value, and p-value
9. Interpret the conclusion
p-value is greater than alpha value, so null hypothesis cannot be rejected. There isn’t sufficient
evidence to conclude that ____________________________
(or)
p-value is lower than alpha value, so null hypothesis can be rejected. There is sufficient evidence
to conclude that ________________________
