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Statistics 200 Quiz 3 | Complete Solution
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Statistics 200 – October 2015

There are again 5 problems on this quiz. Again, it is not meant to be tricky or hard, but to ensure you are comfortable with the concepts in the assigned chapters.

Please submit your quiz to your assignment folder. If you have issues submitting, please do not use email. Submit with your homework assignment and I will pick it up there. It has to be submitted into LEO for credit.

Answer key will be posted on Tuesday.
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Problem 1

Below are five (5) separate distributions.
a-    Calculate the Range
b-    Use the range to calculate the standard deviation
c-    Calculate the standard deviation (and show any difference)

Problem 2

Two (2) students took the same statistics test.
Convert their scores to percentiles and plot on a chart.
You will need the z-table in the back of the text (or internet search).

Math Test Results
X = 73.0
s = 8.0

John scores 79 on the test
Mary scored 68 on the test

Problem 3

I have finished analyzing the data from a recent study.
There are 25 subjects in the sample
The mean of the sample is 75
The standard deviation is 4.7
a- What is the standard error o the mean for these data?
b- What are the 95% and 99% confidence intervals
c- What is the probability of obtaining by chance the following:
i - a mean less than 72
ii- a mean less than 74
iii- a mean greater than 76
iv- a mean greater than 78

Problem 4

Use the following information to write the corresponding null and alternative hypothesis:
a-    A sample mean of 23 is statistically different from a population mean of 30

b-    A sample mean of 56 is less than the population mean of 70

c-    A sample mean of 75 is greater than the population mean of 70

Be sure to show the relationship! Not just words.

Problem 5

I am back in the lab, collecting samples.
The mean of the sample is 75
My associate wants to determine whether the sample mean statistically greater than the population mean of 70.
My associate set α = 0.05

Please provide responses to:

a-    The probability associated with a mean of 75 is p = 0.05Can my associate reject the null hypothesis?

b-    If the null hypothesis is a correct statement, what is the probability that the researcher will make the correct decision not to reject the null hypothesis?

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Statistics 200 Quiz 3 | Complete Solution
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