ith the long lines we have experienced waiting to enter local grocery stores, a researcher wanted to compare the wait times for two stores. Consider the following data. Wait times to enter Store A: 13 16 12 20 15 15 8 Wait times to enter Store B: 10 26 16 18 15 5 19 A) If the researcher wanted to compare the stores and find which store had a more consistent expected wait time to enter, what numerical measure should the researcher compute for each sample to compare? The researcher should compute the ________ for each sample. a) mean b) median c) mode d) range e) standard deviation f) Z-score Now compute the measure you discussed in part (A) to make the comparison. You can use the functions built into your calculator or use the formula to compute these results. B) Using your calculations, which store would have a more consistent expected wait time to enter? [Store A or Store B] ________ would have a more consistent expected wait time since the [Mean, Median, Mode, Range, Standard Deviation, Z-score] _________ is [Lower/ Smaller, Higher/ Greater] _________.
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.
With the long lines we have experienced waiting to enter local grocery stores, a researcher wanted to compare the wait times for two stores. Consider the following data.
Wait times to enter Store A:
| 13 | 16 | 12 | 20 | 15 | 15 | 8 |
Wait times to enter Store B:
| 10 | 26 | 16 | 18 | 15 | 5 | 19 |
A) If the researcher wanted to compare the stores and find which store had a more consistent expected wait time to enter, what numerical measure should the researcher compute for each sample to compare?
The researcher should compute the ________ for each sample.
a) mean
b)
c)
d)
e) standard deviation
f) Z-score
Now compute the measure you discussed in part (A) to make the comparison.
You can use the
B) Using your calculations, which store would have a more consistent expected wait time to enter?
[Store A or Store B] ________ would have a more consistent expected wait time since the
[Mean, Median, Mode, Range, Standard Deviation, Z-score] _________
is [Lower/ Smaller, Higher/ Greater] _________.
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