### General Statistics: Ch 8 HW

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This course is designed to acquaint the student with the principles of descriptive and inferential statistics. Topics will include: types of data, frequency distributions and histograms, measures of central tendency, measures of variation, probability, probability distributions including binomial, normal probability and student's t distributions, standard scores, confidence intervals, hypothesis testing, correlation, and linear regression analysis. This course is open to any student interested in general statistics and it will include applications pertaining to students majoring in athletic training, pre-nursing and business.

updated 2 years ago by GreenHero15

College: First year, College: Second year, College: Third year, College: Fourth year

1

Claim: The mean weight of beauty pageant winners is 108 pounds. A study of 16 randomly selected beauty pageants resulted in a mean winner weight of 113 pounds.

1. Express the original claim in symbolic form.
2. Identify the null and the alternative hypotheses.

a. µ = 108

b. H0: µ = 108

Ha: µ ≠ 108

2

Cadmium, a heavy​ metal, is toxic to animals.​ Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 2.5 parts per million​ (ppm). A hypothesis test is to be performed to decide whether the mean cadmium level in a certain mushroom is less than the​ government's recommended limit.

1. Determine the null hypothesis.
2. Determine the alternative hypothesis.
3. Classify the hypothesis test as two​ tailed, left​ tailed, or right tailed.

a. H0: µ = 2.5 ppm

b. Ha: µ < 2.5 ppm

c. The hypothesis test is left tailed.

3

The mean local monthly bill for cell phone users in this country was ​\$44.41 in 2001. A hypothesis test is to be performed to determine whether last​ year's mean local monthly bill for cell phone users has increased from the 2001 mean of ​\$44.41.

1. Determine the null and alternative hypotheses.​
2. Classify the hypothesis test as two​ tailed, left​ tailed, or right tailed.

a. H0: µ = \$44.41

Ha: µ > \$44.41

b. Right tailed

4

The mean length of imprisonment for​ motor-vehicle theft offenders in this country is 14.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for​ motor-vehicle theft offenders in this city differs from the national mean of 14.1 months.

1. Determine the null and alternative hypotheses.​
2. Classify the hypothesis test as two​ tailed, left​ tailed, or right tailed.

a. H0: µ = 14.1 months

Ha: µ ≠ 14.1 months

b. Two-tailed

5

A study by researchers at a university addressed the question of whether the mean body temperature of an animal is 98.2°F. Among other​ data, the researchers obtained the body temperatures of 109 healthy animals. Suppose you want to use those data to decide whether the mean body temperature of healthy animals differs from 98.2°F.

1. Determine the null hypothesis.
2. Determine the alternative hypothesis.
3. Classify the hypothesis test as two​ tailed, left​ tailed, or right tailed.

a. H0: µ = 98.2°F

b. Ha: µ ≠ 98.2°F

c. The hypothesis test is two tailed.

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