The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 9 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 24 and 69 ounces? c) What percentage of the widget weights lie above 33 ? 34% 34% 2.35%, 2.35% 13.5% 13.5% 0 15% 015%

Subject: algbera

The mean height of Americans in 1776 was 67 inches with a standard deviation of 3 inches.  George Washington is believed to have been 6 ft 2 inches tall, or 74 inches.     Between what two heights (in inches) do 68% of the heights fall?   a.61 to 70 b.61 to 73 c.64 to 70

In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores fall between 71 and 83. What are the mean and standard deviation for this data?

A survey collected the data below. x 26 4 16 12 20 The mean is 15.6. Calculate the deviation of x=16 ?

I was wondering if these answers are correct. Explain.  A study by Quadrant Information Services commissioned by Insure.com  calculated auto insurance rates for each of the 50 states; and as a result, the average annual rate for the United States was $1,317. Suppose annual rates of auto insurance in the United States are normally distributed with a standard  deviation of $324. According to MoneyGeek, a state minimum auto insurance policy in Florida costs an average of $1123 per year and the average cost of full coverage car insurance in Florida is $2208. What percentage of policies cost less than the Florida state minimum policy of $1123? z = (x - mu) / sigma z = (1123-1317)/324 z= -0.59876543 P-value from Z-Table: P(x<1123) = 0.27466 The answer is less than I expected. After using a z-table to determine the score it results in 27% of policies that are less than the minimum policy of 1123.   What percentage of auto insurance rates would be less than $1,200? z = (x - mu) / sigma…

Students in a class took a test whose results were normally distributed.  The mean score was an 81 and the standard deviation was 4.5.  What score is at the 83rd percentile (round to the nearest whole number.) a.84 b.83 c.85 d.86

Use a calculator or computer software to generate a normal quantile plot for the data in the accompanying table. Then determine whether the data come from a normally distributed population. Click the icon to view the data set. Generate a normal quantile plot for the data. Choose the correct graph below. O A. 3.00- 2.00- 1.00- 0.00- -1.00- -2.00- -3.00- 0 100 200 300 400 500 X Value B. 3.00- 2.00- 1.00- 0.00- -1.00- -2.00- -3.00+ 0 100 200 300 400 500 X Value Determine whether the data come from a normally distributed population. Choose the correct answer below. Data table A. The distribution is normal. The points are reasonably close to a straight line and donot show a systematic pattern that is not a straight-line pattern. B. The distribution is normal. The points show a systematic pattern that is not a straight-line pattern. C. The distribution is not normal. The points show a systematic pattern that is not a straight-line pattern. D. The distribution is not normal. The points are…

You want to know the percentage of utility companies that earned revenue less than 67 million dollars. If the mean revenue was 50 million dollars and the data has a standard deviation of 7 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The indicated IQ score, x, is (Round to one decimal place as needed.) X 0.75 0