A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 1 2 3 4 5 6 Observed frequency O 63 47 60 36 49 45 Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance?

The following frequency table summarizes how many animals are surrendered to a local animal shelter daily.  Dogs 6 Cats 13 Rabbits 4 Birds 2 Using experimental probability, what is the probability that a cat will be surrendered tomorrow? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). x 19.8 15.3 20.4 18.1 16.2 15.5 14.7 17.1 y 89.4 73.2 95.3 86.1 78.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3           (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx =   Σy =   Σx2 =   Σy2 =   Σxy =   r =   (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and…

Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Not Indicated Drug Use Is Indicated Subject Uses Drugs 37 4. Subject Is Not a Drug User 17 35 The probability of a false positive test result is