Statistics Homework

Provide a response to the following questions. Written responses should be at least 30 to 45 words each.

1.     Explain and provide an example for each of the following types of variables:

a.     Nominal:

b.     Ordinal:

c.     Interval:

d.     Ratio scale:

e.     Continuous:

f.      Discrete:

g.     Quantitative:

h.     Qualitative:

2.     The following are the speeds of 40 cars clocked by radar on a particular road in a 35 miles-per-hour zone on an afternoon:

30, 36, 42, 36, 30, 52, 36, 34, 36, 33, 30, 32, 35, 32, 37, 34, 36, 31, 35, 20

24, 46, 23, 31, 32, 45, 34, 37, 28, 40, 34, 38, 40, 52, 31, 33, 15, 27, 36, 40

Create a frequency table and a histogram. Then, describe the general shape of the distribution.

3.     Raskauskas and Stoltz (2007) asked a group of 84 adolescents about their involvement in traditional and electronic bullying. The researchers defined electronic bullying as “…a means of bullying in which peers use electronics (such as text messages, emails, and defaming Web sites) to taunt, threaten, harass, and/or intimidate a peer” (p. 565). The table below is a frequency table showing the adolescents’ reported incidence of being victims or perpetrators of traditional and electronic bullying.

a.     Using the table below as an example, explain the idea of a frequency table to a person who has never taken a course in statistics.

b.     Explain the general meaning of the pattern of results.

4.     Describe whether each of the following data words best describes descriptive statistics or inferential statistics. Explain your reasoning.

  1. Describe:
  2. Infer:
  3. Summarize:

5.     Compare the three types of research methods and statistics.

6.     Regarding gun ownership in the United States, data from Gallup polls over a 40-year period show how gun ownership in the United States has changed. The results are described below, with the percentage of Americans who own guns given in each of the 5 decades.

  1. Are the percentages reported above an example of descriptive statistics or inferential statistics?  Why?
  2. Based on the table, how would you describe the changes in gun ownership in the United States over the 40 years shown?

7.     Refer to the Simpson-Southward et al. (2016) article from this week’s electronic readings. Was this an example of inferential statistics and research or descriptive statistics and research? Justify your response.

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STATISTICS HOMEWORK

  1. Assume that women’s heights are normally distributed with a mean given by μ=63.8 in,

and a standard deviation given by 2.5 inσ=2.5 in.       If 15 women are randomly selected, find the probability that they have a mean height between 63.1in and 64.1in. The probability is approximately_____. 

  1. If 15 women are randomly selected, find the probability that they have a mean height between

63.163.1and 64.1 in.

The probability is approximately_______

  1. A safety light is designed so that the times between flashes are normally distributed with a mean of3.00 s and a standard deviation of 0.70 s.a. Find the probability that an individual time is greater than 4.00 s.b. Find the probability that the mean for 60 randomly selected times is greater than 4.00 s.c. Given that the light is intended to help people see an obstruction, which result is more relevant for assessing the safety of the light? 3. A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between46.0 and 56.0 minutes. Find the probability that a given class period runs less than 50.5 minutes.  -Find the probability of selecting a class that run less than 50.5 minutes. 4.A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between50.0and 60.0 minutes. Find the probability that a given class period runs between50.75 and 51.0 minutes.   5. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.–z=0.62 (the area shaded is to the left of 0.62) 
  2. 6. Assume the readings on thermometers are normally distributed with a mean of 0degrees°C

and a standard deviation of 1.00degrees°C. Find the probability  P(z<−0.52 or z>0.52), where z is the reading in degrees.

P(z<−0.52 or z>0.52)equals=__________

7.Assume that adults have IQ scores that are normally distributed with a mean of

100 and a standard deviation15.Find P9, which is the IQ score separating the bottom 99% from the top 91%.   The IQ score that separates the bottom 99%from the top 91% is P9equals=_____ 

  1. Assume that adults have IQ scores that are normally distributed with a mean of100 and a standard deviation of 15. Find the third quartile Q3, which is the IQ score separating the top25% from the others. —The third quartile,Q3, is_______. 9. A survey found that women’s heights are normally distributed with mean63.5 in and standard deviation 2.5 in. A branch of the military requires women’s heights to be between 58 in and 80 in.a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? 10. Birth weights are normally distributed with a mean of3418 g and a standard deviation of 496 g. If a hospital plans to set up special observation conditions for the lightest 22% of babies, what weight is used for the cut-off separating the lightest22% from the others?

              The cut-off weight that separates the lightest 22%  of babies from the others is__________g.

  1. The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15

    days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 33%,

    then the baby is premature. Find the length that separates premature babies from those who are not premature.  

THIS IS DUE AT 3 AM (pacific time) SO IN ABOUT 3 HOURS FROM NOW!

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