Adult men (20-30 years old) tend to watch sports on television daily. A random sample of 30 young adult men (20-30 years old) was sampled. Each person was asked how many minutes of sports they watched on television daily. The data is listed below. Assume the population standard deviation to be 10.5 minutes. 48 51 65 71 61 50 48 72 74 66 43 47 70 66 64 42 45 68 64 65 60 61 47 75 55 41 43 66 63 56 Find a 95% confidence interval for average daily minutes watched by young men. Now assume that the sample mean and population standard deviation do not change but you collect 100 samples, what is the new 95% confidence interval? Is the interval in b) wider than a) or narrower? When we plan to construct a confidence interval what are the two values that we can set? Circle both. Point estimate, confidence level, standard deviation, or sample size If we wanted to make the margin of error smaller, what would we do to the two values in d (the correct answers)? Increase them? Decrease them? Increase one and decrease the other?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Adult men (20-30 years old) tend to watch sports on television daily. A random sample of 30 young adult men (20-30 years old) was sampled. Each person was asked how many minutes of sports they watched on television daily. The data is listed below. Assume the population standard deviation to be 10.5 minutes.
|
48 |
51 |
65 |
71 |
61 |
50 |
48 |
72 |
74 |
66 |
|
43 |
47 |
70 |
66 |
64 |
42 |
45 |
68 |
64 |
65 |
|
60 |
61 |
47 |
75 |
55 |
41 |
43 |
66 |
63 |
56 |
Find a 95% confidence interval for average daily minutes watched by young men.
Now assume that the sample mean and population standard deviation do not change but you collect 100 samples, what is the new 95% confidence interval?
Is the interval in b) wider than a) or narrower?
When we plan to construct a confidence interval what are the two values that we can set? Circle both.
Point estimate, confidence level, standard deviation, or
If we wanted to make the margin of error smaller, what would we do to the two values in d (the correct answers)? Increase them? Decrease them? Increase one and decrease the other?
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