The student will calculate a 90% confidence interval using the given data.
The student will determine the relationship between the confidence level and the percentage of constructed intervals that contain the population mean.
Given:
Heights of 100 women (in inches)
59.4
71.6
69.3
65.0
62.9
66.5
61.7
55.2
67.5
67.2
63.8
62.9
63.0
63.9
68.7
65.5
61.9
69.6
58.7
63.4
61.8
60.6
69.8
60.0
64.9
66.1
66.8
60.6
65.6
63.8
61.3
59.2
64.1
59.3
64.9
62.4
63.5
60.9
63.3
66.3
61.5
64.3
62.9
60.6
63.8
58.8
64.9
65.7
62.5
70.9
62.9
63.1
62.2
58.7
64.7
66.0
60.5
64.7
65.4
60.2
65.0
64.1
61.1
65.3
64.6
59.2
61.4
62.0
63.5
61.4
65.5
62.3
65.5
64.7
58.8
66.1
64.9
66.9
57.9
69.8
58.5
63.4
69.2
65.9
62.2
60.0
58.1
62.5
62.4
59.1
66.4
61.2
60.4
58.7
66.7
67.5
63.2
56.6
67.7
62.5
[link] lists the heights of 100 women. Use a random number generator to select ten data values randomly.
Calculate the sample mean and the sample standard deviation. Assume that the population standard deviation is known to be 3.3 inches. With these values, construct a 90% confidence interval for your sample of ten values. Write the confidence interval you obtained in the first space of
[link] .
Now write your confidence interval on the board. As others in the class write their confidence intervals on the board, copy them into
[link] .
90% confidence intervals
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
Discussion questions
The actual population mean for the 100 heights given
[link] is
μ = 63.4. Using the class listing of confidence intervals, count how many of them contain the population mean
μ ; i.e., for how many intervals does the value of
μ lie between the endpoints of the confidence interval?
Divide this number by the total number of confidence intervals generated by the class to determine the percent of confidence intervals that contains the mean
μ . Write this percent here: _____________.
Is the percent of confidence intervals that contain the population mean
μ close to 90%?
Suppose we had generated 100 confidence intervals. What do you think would happen to the percent of confidence intervals that contained the population mean?
When we construct a 90% confidence interval, we say that we are
90% confident that the true population mean lies within the confidence interval. Using complete sentences, explain what we mean by this phrase.
Some students think that a 90% confidence interval contains 90% of the data. Use the list of data given (the heights of women) and count how many of the data values lie within the confidence interval that you generated based on that data. How many of the 100 data values lie within your confidence interval? What percent is this? Is this percent close to 90%?
Explain why it does not make sense to count data values that lie in a confidence interval. Think about the random variable that is being used in the problem.
Suppose you obtained the heights of ten women and calculated a confidence interval from this information. Without knowing the population mean
μ , would you have any way of knowing
for certain if your interval actually contained the value of
μ ? Explain.
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature