### Use statdisk, excel or other tools to randomly generate data

Use statdisk, excel or other tools to randomly generate data from a normally distributed population with a given mean and standard deviation.

A) Use this tool to randomly generate 5 values from a normally distributed population with a mean of 100 and a standard deviation of 15.

B) using the 5 sample values generated from part A. test the claim that the sample is from a population with a mean equal to 100. Use a 0.10 significance level.

C) repeat parts and B nine more times so a total of 10 different samples have been generated and 10 different hypotheses tests have been executed.

Use statdisk, excel or other tools to randomly generate data from a normally distributed population with a given mean and standard deviation. Generate two sets of sample data that represent simulated IQ scores as shown below.

IQ scores of treatment groups: Generate 10 sample values from a normally distributed population with mean 100 and standard deviation of 15.

IQ scores of Placebo Group: generate 12 sample values from a normally distributed population with a mean of 100 and standard deviation of 15.

A) After generating the two data sets use 0.10 significance level to test the claim that the two samples come from a population with the same mean.

B) if this experiment is repeated many times, what is the expected percentage of trials leading to the conclusion that the two population means are different? How does this relate to a type I error?

C) if your generated data should lead to the conclusion that the two population means are different, would this conclusion be correct or incorrect in reality? How do you know?

D) If part A is repeated 20 times what is the probability that none of the hypothesis tests leads to rejection of the null hypothesis?

E) Repeat part A 20 times. How often was the null hypothesis of equal means rejected? Is this the result you expected

Use statdisk, excel or other tools to randomly generate data 22.99

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