A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.7. The test scores of four students selected at random are 14 , 22, 7, and 35. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 14 is (Round to two decimal places as needed.) The z-score for 22 is (Round to two decimal places as needed.) The z-score for 7 is (Round to two decimal places as needed.) The z-score for 35 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The unusual value(s) is/are (Use a comma to separate answers needed.) O B. None of the values are unusual.

Test scores for a history class had a mean of 69 with a standard deviation of 4.5. Test scores for a physics class had a mean of 79 with a standard deviation of 3.5. Suppose a student gets a 75 on the history test and 83 on the physics test. Calculate the z- score for each test. On which test did the student perform better? A. B. C. D. History exam; history z-score is 1.33; physics z-score is 1.14 Physics exam; history z-score is 1.33; physics z-score is 1.14 History exam; history z-score is -1.33; physics z-score is -1.14 Physics exam; history z-score is -1.33; physics z-score is -1.14

With the extra data value,  the range, standard deviation, and variance is?

Note: The standard deviation is defined as the average distance of the class scores from the mean. Note: The variance is defined as average squared distance of the class scores from the mean. Sameer's score in a quiz was 25 and he was five standard deviations above the mean in this quiz. The mean was 20. The average squared distance of the scores from the mean in this quiz is: Select one: a. -3 b. 2 c. 3 d. -2 e. 1 f. -1

Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

Find the mean and standard deviation of the number of red-headed Scots in a randomly selected group of 155. The probability of having red hair is still 13% for Scottish people. a. Mean = b. Standard deviation (Round to 2 places)=

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Click the icon to view the data table of IQ scores. a. Use a 0.05 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. X A. Ho: H₁ H₂ H₁ H₁ H₂ c. Ho: M₁ = H₂ H₁: H₁ H₂ The test statistic is 0.56. (Round to two decimal places as needed.) The P-value is (Round to three decimal…

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, mode, and standard deviation. Round to one decimal place as needed.20, 22, 26, 27, 30, 31, 34, 34Mean = Median = Mode = Standard Deviation =

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