PROBLEM SOLVING:

1) Find the range, variance and standard deviation of the highest temperatures recorded in eight specific provinces: 112, 100, 127, 120, 134, 118, 105, and 110.

2) Find the range, the variance, and the standard deviation for the following sample.

21272127

3) A professor wants to know if her introductory statistics class has a good grasp of basic math. Six students are chosen at random from the class and given a math proficiency test. The professor wants the class to be able to score above 70 on the test. The six students get scores of 62, 92, 75, 68, 83, and 95. Can the professor have 90 percent confidence that the mean score for the class on the test would be above 70? Alpha level is 0.10.

1. State your Ho & Ha
2. Compute for t-value
3. State your conclusion
4. Box your final answer

4) A study of the effect of caffeine on muscle metabolism used eighteen male volunteers who each underwent arm exercise tests. Nine of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to O2 consumed and is an indicator of whether energy is being obtained from carbohydrates or fats).

The question of interest to the experimenter was whether, on average, caffeine changes RER.

The two populations being compared are "men who have not taken caffeine" and "men who have taken caffeine". If caffeine has no effect on RER the two sets of data can be regarded as having come from the same population. At 5% level of significance,

1. State your Ho & Ha
2. Compute for t-value
3. State your conclusion
4. Box your final answer