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

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Author: Carol 96
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http://theperfecthomework.com/below-are-five-5-separate-distributions-a-calculate-the-range/

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

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

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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