In one town, the number of pounds of leafy greens consumed per person per year has a mean of 10 pounds and a standard deviation of 2.6 pounds. Tyler consumed 24 pounds of leafy greens last year. How many standard deviations from the mean is that? a. 5.38 standard deviations below the mean b. 2.33 standard deviations above the mean c. 2.33 standard deviations below the mean d. 5.38 standard deviations above the mean
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.
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In one town, the number of pounds of leafy greens consumed per person per year has a mean of 10 pounds and a standard deviation of 2.6 pounds. Tyler consumed 24 pounds of leafy greens last year. How many standard deviations from the mean is that?
a. 5.38 standard deviations below the mean
b. 2.33 standard deviations above the mean
c. 2.33 standard deviations below the mean
d. 5.38 standard deviations above the mean
2. Sue is interested in how many hours U.S. Senators sleep each night. She sends a survey to which all senators respond. Sues’ resulting standard deviation would be denoted as:
| a. |
s because she has obtained a population |
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| b. |
s because she has obtained a sample |
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| c. |
s2 because she has obtained a population |
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| d. |
σ because she has obtained a population |
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| e. |
σ because she has obtained a sample |
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| f. |
s2 because she has obtained a sample |
3.
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Determine which of the four levels of measurement is most appropriate for the following variable: Salaries of non-profit executive directors.
a. Interval
b. Ordinal
c. Nominal
d. Ratio
3.
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The heights of a group of professional basketball players are summarized in the distribution below. Find the mean height and round your answer to one decimal place.
Height (in.) Frequency
70 1
72 6
74 10
76 12
78 8
80 6
82 1
a. 44 inches
b. 75.9 inches
c. 72.5 inches
d. 3,340 inches
e. None of these
3.
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Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. Find, on average, how the length of employment differs from the mean.
1 4 7 8 12 15 19 43 66 87 99 127 148 167
a. None of these
b. 57.36 months
c. 31 months
d. 166 months
e. 58.37 months
4. This question can have multiple answers
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The hallmarks of an experiment are:
a. Random assignment to groups and pre-test measurements
b. Double-blind procedures and participant consent
c. An independent variable and a dependent variable
d. Random assignment to groups and the manipulation of some variable
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