a. The mean and standard deviation for x1 are 6.6 and 3.3, respectively. The mean and standard deviation for x2 are 382.2 and 126.2, respectively. Compute the z-scores for the x1 and x2 values for the two observations. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answers to 4 decimal places.) Z11 Z21 Z12 Z22 b. Compute the first principal component score for observation 1. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answers to 4 decimal places.) PC1,1 c. Compute the second principal component score for observation 2. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answers to 4 decimal places.) PC2,2

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 39 beats per​ minute, the mean of the listed pulse rates is x overbar equals 77.0 beats per​ minute, and their standard deviation is sequals 21.2 beats per minute. a. What is the difference between the pulse rate of39 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of39 beats per minutes to a z score. d. If we consider data speeds that convert to z scores between minus 2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 39 beats per minute​ significant?

The mean score on a driving exam for a group of driver's education students is 76 points, with a standard deviation of 5 points. Apply Chebychev's Theorem to the data using k = 2. Interpret the results. At least % of the exam scores fall between and. (Simplify your answers.)

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Test scores for a Statistics class have a mean of 81 with a standard deviation of 4. Test scores for a calculus class had a mean of 75 with a standard deviation of 3.5. Suppose a student gets an 87 on the statistics test andan 86 on the calculus test. Calculate the z-scores for each test. On which test did the student perform better relative to the other students in the class.

Scores for men on the verbal portion of the​ SAT-I test are normally distributed with a mean of 545   and a standard deviation of 112 . If 16 men are randomly​ selected, find the probability that their mean score is at least 590. a. Define the parameter     A. x overbar equals The mean score of 16 randomly selected men   B. x overbar equals The score of a randomly selected man   b. State the mean of x overbar ​: nothing   c. State the standard deviation of x overbar ​: nothing   ​(use 2 decimal​ places)   d. Find the​ z-score: nothing   ​(use 2 decimal​ places)   e. Find the​ probability: nothing   ​(use 4 decimal​ places)

Previous Question Researchers measured the data speeds for a particular smartphone carier at 50 airports. The highest speed measured was T76 Mbps. The complete list of 50 data speeds has a mean of x 17.47 Mbps and a standard deviation of s 32.99 Mbps. a. What is the dilference between camer's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that (the difference found in part (a)? c Convert the camer's highest data speed to az score. d. If we consider data speeds that convert to z scores between-2 and 2 to be neither significantly low nor significantly high, is the camier's highest data speed significant? a. The difference is Mbps (Type an integer or a decimal Do not round) b. The dilference is standard deviations (Round to two decimal places as needed.) c The z score is z (Round to two decimal places as needed.) d. The camer's highest data speed is

The scores on the Accuplacer test and High School GPAS are normally distributed. The Accuplacer test had a mean of 35 and a standard deviation of 9. High School GPAS had a mean of 2.8 and a standard deviation of 0.2. What high school GPA do you need to equal a score of 56 on the Accuplacer test? Give answer to two decimal placés. Check Answer

Property Crime. As reported by the Federal Bureau of Investigation in Crime in the United States, 5.1% of property crimes are committed in rural areas and 1.6% of property crimes are burglaries committed in rural areas. What percentage of property crimes committed in rural areas are burglaries?

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