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# Statistical Significance and Probablility

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Your car gets 29 miles per gallon, one day you see your mileage average is 28 miles per gallon. Is this change statistically significantly and would you look for a reason or is it more of a variation attributed to chance?

Another day you see your mileage is 22 miles per gallon - Is this change statistically significantly and would you look for a reason or is it more of a variation attributed to chance?

How much of a decrease would you need to see before you thought it statistically significant?

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State the Null & Alternative Hypothesis for a test of significance:

A consumer group claims the amount of Iron in a health supplement capsule is less than the posted amount of 500 milligrams.

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P-Value & Dice: Use the table to test for bias against 6's, below shows probabliity of 6's in 100 tosses.

Number of 6's Probability
8 or fewer .006
10 or fewer .020
12 or fewer .052

In 100 tosses, 10 rolls are 6's. Is this result significant at the 0.05 level? What is the P-Value for this result?

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Thank you!

https://brainmass.com/statistics/hypothesis-testing/statistical-significance-probability-40949

#### Solution Preview

Please see response attached (also presented below) Good luck with your continued studies and take care.

RESPONSE:

Q1a: Your car gets 29 miles per gallon, one day you see your mileage average is 28 miles per gallon. Is this change statistically significantly and would you look for a reason or is it more of a variation attributed to chance?

A1a: We can use the range as a quick and easy indication of significance,

Range = plus or minus 6 (not significant)

In other words, when the mileage deviated any more than 6 miles per gallon either way, we would have a reason to consider the variation as significant. Thus, 28 miles per gallon, a variation on only 1 mile per hour, would more than likely be attributed to ...

#### Solution Summary

This solution provides solutions to three statistical questions concerning significance testing and probability.

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