6. A random sample of 374 United States pennies was collected, and the age of ea

Question

6. A random sample of 374 United States pennies was collected, and the age of each penny was determined. According to the boxplot below, what is the approximate interquartile range (IOR) of the ages? 50 b) 10 c) 16 d) 40 e) 50 40 30 20 10 7. Which of the following are affected by outliers? I.Mean II. Median III Standard Deviation IV.Range V.Interquartile Range a) I, III, and b) II and IV c) IandV d) III and IV e) I, III, and IV 8. Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are given below. $36.27 $44.27 $58.97 Which of the following statements must be true for these customers? a) b) c) At least half of the customers spent less than or equal to $44.27 and at least half spent greater than or equal to $44.27. Seventy-five percent of the customers spent between $36.27 and $58.97. Twenty-five percent of the customers spent less than or equal to $58.97 and the remaining 75 percent spent greater than or equal to $58.9:7 The mean amount spent by customers is $44.27. A majority of customers spent $44.27. d) e)

Explanation / Answer

a) because the data is skewed,this cannot be calculated from the information given . Here, without knowing the actual curve we can't find the probability from just the mean and the SD.

b)

n = 40

x = 10

x bar = 12.2

standard deviation, s = 9.9/sqrt (40) = 1.565

Now,

Z score

= (X-Xbar)/s

= (10-12.2)/1.565

= - 2.2 / 1.565

= - 1.41

Now,

probability that the randomly selected penny is less 10 years old

=

p(x<10)

= p (z< -1.41)

= 0.0799 -----------------------------ANSWER

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