The Dot plots below show the number of sales made by Jason and Shane at work over the past seven days. Which observation about t
1 answer:
Jason's data distribution is symmetrical and shows no outliers; Shane's data distribution is uniform and shows no outliers also. Therefore, the correct observation about the data sets that is correct is:<em> Option B.</em>
<h3>Symmetrical and Uniform Data Distribution on a Dot Plot</h3>- If the data plotted on the dot plot shows a bell shape curve and can be divided into equal halves by a vertical line, the data distribution is symmetrical.
- When the data is spread equally across the range with no clear peaks, the data distribution is uniform.
<h3>What are Outliers?</h3>
Outliers are values that are far from the middle and are entirely different from the rest of the data.
The dot plots for sales made by Jason and Shane are shown in the image attached below.
Jason's data distribution is symmetrical and shows no outliers; Shane's data distribution is uniform and shows no outliers also. Therefore, the correct observation about the data sets that is correct is:<em> Option B.</em>
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Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:
Z = 0.59.
Z = 0.59 has a p-value of 0.7224.
1 - 0.7224 = 0.2776.
0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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