ch3 stats hw

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The median of the lower half of a data set is known as the

1st quartile

The range rule of thumb says that a value is significantly high if it is more than how many standard deviations above the mean?

2

The mean of weight of a sample of all household garbage is 1.911 lb with a standard deviation of 1.065 lb. A particular household that produces 5.28 lb of garbage. The z-score for 5.28 is (rounded 2 decimal places)

3.16 Because this z-score is greater than 2 unusual

In the process of designing aircraft seats, it was found that men have hip breadths with a mean of 36.6 cm and a standard deviation of 2.5 cm. Any male hip breadth over what would be considered unusually high?

41.6 (with margin: 0)

According to the empirical rule, approximately 68% of values are within 1 standard deviation of the mean?

68%

All values that are significantly low have a z-score less than

-2

A magazine published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by​ 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S.​ drivers? Why or why​ not?

No, the value of 27.3 cents is not the mean because the 50 amounts are all weighted equally in the​ calculation, but some states consume more gas than​ others, so the mean amount of state sales tax should be calculated using a weighted mean.

Find the mean, median, and mode for the following set of data. Round to one decimal place. 2, 5, 4, 6, 1, 7, 8, 9, 2, 7, 7

The mean is 5.3 The median is 6 The mode is 7

True or False. A set of data can have more than one mode.

True

Which measure of center is resistant to extreme values in a data set?

median

What is the only measure of center that can be used with qualitative data?

mode

The empirical rule only applies to data whose distribution is approximately

normal

The Greek letter μ is used to denote population mean ?

population mean

The four measures of center are

MEAN MEDIAN MODE MIDRANGE

Listed below are the weights in pounds of 11 NFL players randomly selected. Find the sample variance and sample standard deviation. Round to 2 decimal places. 189 254 235 225 190 305 195 202 190 252 305

The variance is :1923.69 The standard deviation is :43.86

A defunct website listed the​ "average" annual income for Florida as​ $35,031. What is the role of the term average in​ statistics? Should another term be used in place of​ average?

The term average is not used in statistics. The term mean should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values.

Males have red blood cell counts with a mean of 4.719 and a standard deviation of 0.490, while females have red blood cell counts with a mean of 4.349 and a standard deviation of 0.402. Who has the higher red blood cell count: a male with a count of 5.42 or a female with a count of 5.38? [ans]

female


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