STAT 200 LAB 7 -LESSON 7: COMMON DISTRIBUTIONS; STAT200 ELEMENTARY STATISTICS LAB 7 (ANSWERED)
NAME:
Answer the following questions showing all work. Full credit will not be given to answers without work shown. If
...
STAT 200 LAB 7 -LESSON 7: COMMON DISTRIBUTIONS; STAT200 ELEMENTARY STATISTICS LAB 7 (ANSWERED)
NAME:
Answer the following questions showing all work. Full credit will not be given to answers without work shown. If you use Minitab Express or StatKey include the appropriate output (copy + paste). If you do hand calculations show your work using the Word equation editor. Clearly identify your final answers. Output without explanation will not receive full credit and answers with no output or explanation will not receive full credit. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board.
1. Use StatKey or Minitab Express to construct the following distributions. Remember to include all relevant output (i.e., a screenshot of your distribution in StatKey or Minitab Express) AND a clear statement of your final answer for each question. [20 points]
A. Construct a z distribution to find the area above z = 0.5
.309
B. Construct a z distribution to find the area below z = - 0.5
.309
C. Construct a normal distribution with a mean of 100 and standard deviation of 10 to find the area above x = 105
.309
D. Explain why your answers to A, B, and C are all the same.
Answers A,B, and C are the same because the normal distribution charts made all use the same standard deviation, and the z-score on all 3 graphs all use a difference of 5 from the mean point.
2. We want to test the alternative hypothesis that p > 0.60 using a sample of n=200. In that sample of 200, there were 133 successes. [45 points]
Hint: Your answers for parts A, D, and F should be very similar.
A. Use StatKey to conduct a randomization test. If you need a review, see Lesson 5. Step 1: Determine what type of test you need to conduct and write the hypotheses.
Randomization Test for a Proportion
Step 2: Construct a randomization distribution under the assumption that the null hypothesis is true. Take at least 5000 resamples.
Step 3: Use the randomization distribution to find the p-value.
.0022
Step 4: Decide if you should reject or fail to reject the null hypothesis. Reject the null hypothesis
Step 5: State a real-world conclusion in relation to the original research question.
B. Describe the shape of your randomization distribution.
The randomization distribution has a normal bell-shaped curve or a normal distribution
C. From your randomization distribution, what is the standard error?
.035
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