Question

Many statistical procedures require that we draw a sample from a population whose distribution is approximately...

Many statistical procedures require that we draw a sample from a population whose distribution is approximately normal. Often we don’t know whether the population is approximately normal when we draw the sample. So the only way we assess whether the population is approximately normal is to examine its sample. Assessing normality is more important for small samples. Below, you’ll see some small samples and you’ll be asked to assess whether the populations they are drawn from can be treated as approximately normal.

  1. The following data set is given. Determine whether it is reasonable to treat the following sample as though it comes from an approximately normal population. Include any charts or graphs you make in Excel here and justify your answer.

2.6

4.2

1.5

2.0

0.6

0.7

6.6

2.2

9.7

1.8

4.2

4.4

0.6

0.2

Homework Answers

Answer #1
Theoritical Quantile Actual Quantile
1 0.066667 -1.501086 0.2
2 0.133333 -1.110772 0.6
3 0.2 -0.841621 0.6
4 0.266667 -0.622926 0.7
5 0.333333 -0.430727 1.5
6 0.4 -0.253347 1.8
7 0.466667 -0.083652 2
8 0.533333 0.0836517 2.2
9 0.6 0.2533471 2.6
10 0.666667 0.4307273 4.2
11 0.733333 0.6229257 4.2
12 0.8 0.8416212 4.4
13 0.866667 1.1107716 6.6
14 0.933333 1.5010859 9.7

From the QQ plot, we can conclude that the given sample does not follow the normal distribution. Because the points at the tails have deviated from the straight line.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The distribution of heights of 18-year-old men in the United States is approximately normal, with mean...
The distribution of heights of 18-year-old men in the United States is approximately normal, with mean 68 inches and standard deviation 3 inches (U.S. Census Bureau). In Minitab, we can simulate the drawing of random samples of size 20 from this population (⇒ Calc ⇒ Random Data ⇒ Normal, with 20 rows from a distribution with mean 68 and standard deviation 3). Then we can have Minitab compute a 95% confidence interval and draw a boxplot of the data (⇒...
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean...
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean each time, and plot those sample means in a histogram. The histogram we created would be an example of a (variable, population, distribution, sampling distribution???) . According to the central limit theorem, the histogram would have a shape that is approximately (left skewed, right skewed or normal???) , with mean  (give a number???) and standard deviation  (give a number??). The standard deviation of the statistic under...
9.   (Extra Credit.) A small sample - the T-distribution) The trees around the Quincy College parking...
9.   (Extra Credit.) A small sample - the T-distribution) The trees around the Quincy College parking lot have an average length of 4 inches. The leaf lengths are normally distributed, coming from a population with a standard deviation of 0.6 inches. The trees around the Quincy College parking lot are subject to the stimulating aroma of MBTA exhausts. A sample of 20 leaves was taken from these trees and the average leaf length was found to be 4.2 inches. With...
Specify hypothesis, define the parameter and population of interest Identify the test-statistic and its sampling distribution...
Specify hypothesis, define the parameter and population of interest Identify the test-statistic and its sampling distribution Fins the test-statistic value and its associated P-Value Use your P-Value state your statistical conslusion Interpret your conclusion in the context of the proble Doing deucedly difficult duty, daring distaff detective Sheerluck Hopeless draws dire data-driven deductions, discouraging dastardly dangerous deeds during deep, dark Decembers. Disturbingly daft Dr. Witless, Sheerluck’s stumpling sidekick, shares Sheerluck’s adventures with the public. Agile agent and annoyingly anal analyst...
We wish to determine the impact of Specification Buying, X11, on Satisfaction Level, X10. To do...
We wish to determine the impact of Specification Buying, X11, on Satisfaction Level, X10. To do so we will split the Hatco data file into two separate data sets based on the Specification Buying, X11. This variable has two categories: 1=employs total value analysis approach, evaluating each purchase separately; 0 = use of specification buying. Sort the entire Hatco data set based on Specification Buying. This will create two separate groups of records. Those records with X11 = 0 and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT