) The SAT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 1481 and the standard deviation was 292. The test scores of four students selected at random are 1930, 1340, 2150, and 1450. a) Find the z-scores that correspond to each value b) Determine whether any of the values are unusual.

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 36 ounces and a standard deviation of 10 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 16 and 46 ounces? c) What percentage of the widget weights lie below 66 ? Ouortion Holn: Dlidon

If some data is symmetrical and unimodal, and the mean and standard deviation are 230 and 40 respectively: a)How much of the data lies between 190 and 270 b)How much lies between 150 and 230 c)How much lies between 190 and 310

The histogram (click the attacthed photo to view) shows the distribution of hurricanes that have hit a country from 1851 through​ 2015, where 1 is the weakest level and 5 is the strongest level.   A) The mean is? B) The variance is? C)The standard deviation is?

The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50.  If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be?  Assume that the scores are normally distributed.

Use the fact that IQ score are normally-distributed with a meal of 100, standard deviation of 15 to answer the following questions. a)what percentile is an IQ score of 120? b)what IQ score is the 99th percentile?  c)Find the IQ scores that cut off the middle 50% of IQ score. d) would it be unusual to have an IQ score of 132?

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.

Both sets of values have an average of 13. Is set As standard deviation smaller, larger, or about the same as set abs? set A: 1 2 3 23 24 25 set B: 8 10 12 14 16 18