Question: Write the null hypothesis and the alternative hypothesis for each for each of the claims listed below.

1. It has been speculated that there is a correlation between algebra placement examination scores and the performance in calculus.
2. In a study of factors affecting mathematics anxiety, visual perception ratings were determined for a random sample of $16 .$ This sample yielded a mean of $8.33$ and a standard deviation of 1.96. It is claimed that this sample comes from a population with a mean of less than $10.00$.
3. Test the claim of the owners of Coaches Microbrewery that they fill bottles with amounts having a mean equal to 32 ounces.
4. A Ford engineer claims that a new fuel injection design increases the mean gasoline mileage on the Focus above its current 30 miles per gallon level.
5. As the manager of a Sylvan Center you are charged with the responsibility to determine if the color of $M \&$ M's eaten by individuals taking the SAT had an effect on the scores earned. The colors of involved M&M 's are red, green and blue.
6. As the Resident Director, you want to determine if there is a preference where students want to live. Therefore, you commission a study if a preference exists. A random sample of students was asked if they preferred to live in a University dormitory, an apartment in town, a house in town or had not preference.

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Deliverable: Word Document