What is the purpose of calculating a test statistic


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Discussion-1

Please answer one or more of the following questions.

1) For what data in your professional or personal life would it be useful to construct a frequency table or histogram? If you give this some thought, you should be able to identify several sets of data.

2) After using the formula for determining the value of P16 (the 16th percentile) in a data set, the result is L = 5 (this whole number was obtained without rounding). How do we use this result to determine the value of P16?

3) It is common for car insurance companies to charge higher premiums for younger drivers. Younger drivers tend to earn less income than older drivers on average. So why are younger drivers expected to pay higher premiums? Do insurance companies have a right to charge different premiums to different customers for the same coverage based on their age?

Discussion-2

Please answer one of the following questions:

1) In a simple game, a six-sided die is rolled 4 times. If all four rolls result in either 1 or 2, then the player wins $50 dollars. If the player has to pay $10 to play the game, what are the expected winnings of the player over time if many games are played?

2) The scores on a particular test are normally distributed with mean of 73 and standard deviation 5. What score would a student need to be among the top 10% of all test scores?

3) What are the similarities and the differences between the family of t distributions and the standard normal distribution?

Discussion-3

Please answer one of the following questions.

1) What is the purpose of calculating a test statistic? How does this value describe how the sample data either supports or contradicts a claim?

2) How does one decide between using a one-tailed or a two-tailed hypothesis test? Is there an advantage to using one over the other?

3) We would like to compare the mean number of children per household in Country A to the mean number of children per household in Country B. What procedure would be used to make such a comparison? How would sample sizes be chosen?

4) A sample of 100 patients uses a new treatment for weight loss. Describe how one would go about testing the claim that the weight loss treatment is effective.

5) What is the best predicted value for the response variable if there is no evidence of significant correlation in a sample?

Discussion-4

As we near the end of our course, what strategies have proven to help you succeed in this course? What changes have you needed to make along the way? What advice would you offer future students in this course?

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Basic Statistics: What is the purpose of calculating a test statistic
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