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Find the probability of an observation lying more than z = 2…

Find the probability of an observation lying more than z = 2.17 standard deviations above the mean.

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A survey was conducted to determine how people rate the qual…

A survey was conducted to determine how people rate the quality of programming available on TV.  Twenty-one respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display based on these data (using the first digit as the stem and the second digit as the leaf) is shown below: Stem                       Leaves                                     3               2     5 4               0     3     4     7     8     9 5               1     1     2     3     4     5 6               1     2     5     6     7 7               7     8 Based on the stem-and-leaf display, the median for these TV ratings is __________.

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The weaning weights (in kilograms) of a sample of 6 lambs bo…

The weaning weights (in kilograms) of a sample of 6 lambs born and raised on Farmer Jones’ farm are as follows: Lamb Weight 1 30 2 32 3 28 4 42 5 40 6 44 Find the standard deviation of the weaning weights of this sample of 6 lambs.

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Scores on a statistics exam indicate that the 25th percentil…

Scores on a statistics exam indicate that the 25th percentile was a 70 (out of 100 points possible), the 50th percentile was a 79, and the 75th percentile was an 88.  Use this information to construct a box plot for the exam scores.  Specify the values of the inner and outer fences.

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A random sample of sale prices of homes in Columbus, Ohio yi…

A random sample of sale prices of homes in Columbus, Ohio yielded the following summary information:      Median = $125,000     Lower quartile = $82,000     Upper quartile = $168,000      Lowest price = $46,000     Highest price = $276,000 Construct a box plot for these data.  Based on this box plot, is the lowest selling price of $46,000 a suspect or highly suspect outlier?

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A severe drought has affected several western states in rece…

A severe drought has affected several western states in recent years.  A Christmas tree farmer is worried about the drought’s effect on the size of his trees.  To determine whether the growth of his trees has been reduced by the drought, the farmer decides to take a sample of the heights of 6 trees and obtains the following results (recorded in inches): Tree Height 1 60 2 57 3 62 4 69 5 46 6 54 Find the standard deviation of the heights of this sample of 6 trees.

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A Box Plot has the following values: lower outer fence = 168…

A Box Plot has the following values: lower outer fence = 168 lower inner fence = 196.5 lower quartile = 225 upper quartile = 244 upper inner fence = 272.5 upper outer fence = 301 Assume that four animals weigh 205, 250, 280, and 310 lb. Which of these weights are highly suspect outliers?

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Independent random samples of litter sizes were selected fro…

Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine, with the following results: Yorkshire Landrace 8 7 9 8 10 9 8 8 9 7 10   We want to analyze these data using Analysis of Variance with a Completely Randomized Design. What is the critical F value from the appropriate table if we use a significance level of α = 0.05?

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Independent random samples of litter sizes were selected fro…

Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine, with the following results: Yorkshire Landrace 8 7 9 8 10 9 8 8 9 7 10   We want to analyze these data using Analysis of Variance with a Completely Randomized Design. Calculate the Correction Factor (Correction for the Mean)

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You are interested in purchasing a new car.  One of the many…

You are interested in purchasing a new car.  One of the many points you wish to consider is the resale value of the car after 5 years of ownership.  Since you are particularly interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 90% confidence interval.  You manage to obtain data on 16 recently resold 5-year-old foreign sedans of that model.  These 16 cars were resold at an average price of $10,000 with a standard deviation of $1,500. Estimate the true mean resale value of this model of foreign car using a 90% confidence interval.

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