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BELOW ARE FIVE (5)SEPARATE DISTRIBUTIONS. A- CALCULATE THE RANGE

BELOW ARE FIVE (5)SEPARATE DISTRIBUTIONS. A- CALCULATE THE RANGE

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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 tookthe same statistics test.
 
 
Convert their scoresto percentiles and plot on a chart.
 
 
You will need thez-table in the back of the text (or internet search).
 
Math Test Results
 
 
X = 73.0
 
 
s = 8.0
 
 
 
 
John scores 79 on thetest
 
 
Mary scored 68 on thetest
 
 
Problem 3
 
 
I have finishedanalyzing the data from a recent study.
 
 
There are 25 subjectsin the sample
 
 
The mean of thesample is 75
 
 
The standarddeviation is 4.7
 
 
Please answer thefollowing:
 
 
a- What is the standarderror o the mean for these data?
 
 
b- What are the 95% and 99%confidence intervals
 
 
c- What is the probabilityof 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 followinginformation to write the corresponding null and alternative hypothesis:
 
 
a-      Asample mean of 23 is statistically different from a population mean of 30
 
 
 
 
b-      Asample mean of 56 is less than the population mean of 70
 
 
 
 
c-      Asample 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 thesample is 75
 
 
My associate wants todetermine whether the sample mean statistically greater than the populationmean of 70.
 
 
My associate set α =0.05
 
 
Please provideresponses to:
 
 
a-      Theprobability associated with a mean of 75 is p = 0.05Can my associate reject thenull hypothesis?
 
 
b-      Ifthe null hypothesis is a correct statement, what is the probability that theresearcher will make the correct decision not to reject the null hypothesis?


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