# Mathematics

Number of sources: 1

Writing Style: MLA

Type of document: Math Problem

Academic Level:High School

Number of Pages: 3 (Double Spaced)

Category: Mathematics

Order Instructions: ATTACHED

Please answer the following questions :

1. A student surveyed a simple random sample of students at her college. Is this sample likely to be representative of all students at her college? Of all adults in the United States? Explain.

2. A manufacturer of laptop computers claims that only 1% of their computers are defective. In a sample of 600 computers, it was found that 3% were defective. If the proportion of defectives were really only 1%, there would be less than 1 chance in 1000 of getting such a large proportion of defective laptops in the sample. Is there statistically significant evidence against the manufacturer’s claim? In other words, has this sample proved the manufacturer is incorrect about only 1% of their computers being defective? Why or why not?

3. The following histogram shows average SO2 (sulfur dioxide) boiler emission rates from selected utility companies. The data was collected from a voluntary response sample of utility companies. Does the distribution depicted in the histogram reflect the true distribution of the population? Why or why not?

4. Consider the frequency distribution below, which has single values as classes:

Value Frequency

10 1

11 3

12 7

13 18

14 10

15 4

16 2

17 7

18 16

19 10

20 6

21 2

Describe the distribution of the data. Does the shape of the data appear normal? That is, does the distribution seem to have one peak? Does the data appear to have two or more peaks? Explain your reasoning.

5. Dave is a college student contemplating a possible career option. One factor that will influence his decision is the amount of money he is likely to make. He decides to look up the average salary of graduates in that profession. Which information would be more useful to him, the mean salary or the median salary? Why?

6. In chemistry, the Kelvin scale is often used to measure temperatures.

Temperatures on the Kelvin scale are related to temperatures on the Celsius scale as follows: K = C + 273°.

Temperatures on the Fahrenheit scale are related to temperatures on the Celsius scale as follows: F = 9C/5 + 32°

Suppose you have a set of temperatures that you take in C. You convert that set of temperatures to F and K. How will the standard deviations of the three sets of data compare?

Hint: Make up a data set of 5 – 10 temperatures in F. Convert them to K and F, then find the standard deviation of each set. You can also consider how each formula would impact the standard deviation based on graphing transformations.