BUSA 2000-A random sample of 144 bottles of cologne

BUSA 2000-A random sample of 144 bottles of cologne

Subject: Mathematics    / Statistics
Question
Exhibit 1

A random sample of 144 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces.

1. ( 1 Point) Refer to Exhibit 1. Find the standard error of the mean

2. ( 1 Point) Refer to Exhibit 1. Find the point estimate of the mean content of all bottles

3. ( 1 Point) Refer to Exhibit 1. In this problem is the 0.22 an example of a parameter or statistic

4. ( 2 Points)A professor of marketing refutes the claim that the average student spends 3 hours studying for the midterm exam. She thinks they spend less time than that. Which hypotheses are used to test the claim?

a.

H0:μ = 3 vs.H1:μ > 3

b.

H0:μ = 3 vs.H1:μ â 3

c.

H0:μ â 3 vs.H1:μ = 3

d.

H0:μ = 3 vs.H1:μ < 3

5. ( 2 Points A manager suspects that the average amount of money stolen by employees is above $10. The correct set of hypotheses is:

a.

H0:μ = 10 vs.H1:μ > 10

b.

H0:μ > 10 vs.H1:μ = 10

c.

H0:μ = 10 vs.H1:μ < 10

d.

H0:μ < 10 vs.H1:μ = 10

6. ( 3 Points) A new soft drink is being market tested. It is estimated that 50% of consumers will like the new drink. A sample of 96 taste-tested the new drink.

a. Determine the standard error of the proportion

b. What is the probability that more than 70.4% of consumers will indicate they like the drink?

c. What is the probability that more than 30% of consumers will indicate they do not like the drink?