Minimum Wage
Name of state |
Data value |
|
State 1 |
Alabama |
2.2 |
State 2 |
Arkansas |
0.7 |
State 3 |
Connecticut |
0.9 |
State 4 |
Florida |
6.6 |
State 5 |
Idaho |
0.6 |
State 6 |
Iowa |
1.2 |
State 7 |
Louisiana |
2.9 |
State 8 |
Massachusetts |
1.9 |
State 9 |
Mississippi |
1.3 |
State 10 |
Nebraska |
0.5 |
State 11 |
New Jersey |
2.2 |
State 12 |
North Carolina |
4.6 |
State 13 |
Oklahoma |
1.4 |
State 14 |
Rhode Island |
0.4 |
State 15 |
Tennessee |
3.4 |
Analysis:
Compute the mean and standard deviation of the sample data:
Mean =
Standard deviation =
Sample size =
Hypothesis test(claim):
Based on the claim you made above, conduct a hypothesis test.
Level of significance (choose from 5% or 1%): which did you pick?
Null hypothesis - H0: µ
Alternative hypothesis - Ha: µ
In words, clearly state what your random variable X represents:
Which distribution you will use for the test, Normal or Student’s t (if t-distribution, state the degrees of freedom):
What is the test statistic?
What type of test is used: two-tailed, right-tailed, left-tailed?
What is the p-value?
In one or two complete sentences, explain what the p-value means
for this test:
Use the above information to sketch a picture of this situation on the graph below. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
Decision and Conclusion: Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion about your claim using complete sentences.
Alpha:
Decision:
Reason for decision:
Conclusion:
Construct a 95% confidence interval for the true mean. Include a sketch of the graph of the situation on the distribution below. Label the point estimate and the lower and upper bounds of the confidence interval.
Compute the mean and standard deviation of the sample data:
Mean = 2.0533
Standard deviation = 1.7299
Sample size = 15
Hypothesis test: µ = 2
Based on the claim you made above, conduct a hypothesis test.
Level of significance (choose from 5% or 1%): which percent did you use? 0.05
Null hypothesis - H0: µ = 2
Alternative hypothesis - Ha: µ 2
In words, clearly state what your random variable X represents: X represents the data value.
Which distribution you will use for the test, Normal or Student’s t (if t-distribution, state the degrees of freedom): Student's t df = 14
What is the test statistic? 0.119
What type of test is used: two-tailed, right-tailed, left-tailed? two-tailed
What is the p-value? 0.9067
In one or two complete sentences, explain what the p-value means
for this test: The probability that the results are equal to or
greater than µ = 2 is 0.9067.
Use the above information to sketch a picture of this situation on the graph below. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
Decision and Conclusion: Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion about your claim using complete sentences.
Alpha: 0.05
Decision: Fail to reject the null
Reason for decision: Since the p-value (0.9067) is greater than the significance level (0.05), we fail to reject the null hypothesis.
Conclusion: Therefore, we can conclude that µ = 2.
Construct a 95% confidence interval for the true mean. Include a sketch of the graph of the situation on the distribution below. Label the point estimate and the lower and upper bounds of the confidence interval.
The 95% confidence interval for the true mean is between 1.0953 and 3.0113.
Minimum Wage Name of state Data value State 1 Alabama 2.2 State 2 Arkansas 0.7 State...
the minimum wage in 15 states Name of state Data value State 1 Alabama 2.2 State 2 Arkansas 0.7 State 3 Connecticut 0.9 State 4 Florida 6.6 State 5 Idaho 0.6 State 6 Iowa 1.2 State 7 Louisiana 2.9 State 8 Massachusetts 1.9 State 9 Mississippi 1.3 State 10 Nebraska 0.5 State 11 New Jersey 2.2 State 12 North Carolina 4.6 State 13 Oklahoma 1.4 State 14 Rhode Island 0.4 State 15 Tennessee 3.4 Analysis: Compute the mean and standard...
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Step 1 of 7: State the null and alternative hypotheses. Step 2 of 7: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 7: Specify if the test is one-tailed or two-tailed. Step 4 of 7: Determine the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 7: Identify the value of the level of significance. Step 6 of 7: Make the decision to reject or...