For the standard normal distribution, the mean is: O 1 and the standard deviation is zero O 0.5 and the standard deviation is 0.5 O zero and the standard deviation is 1 O 1 and the standard deviation is 1

A normal distribution has a mean of 40 and a standard deviation of 5. Find the probability that a randomly selected x-value from the distribution is in the given interval 20 20 25 30 35 40 45 50 55 25 30 35 X % (to the nearest percent) 60 d 40 45 50 55 60 X % (to the nearest tenth of a percent)

Find the area under the standard normal probability distribution between the following pairs of z-scores. a. z = 0 and z = 1.00 b. z = 0 and z = 2.00 c. z = 0 and z=3.00 d. z = 0 and z=0.46 e. z = -1.00 and z = 0 f. z = -2.00 and z=0 g.z= -1.67 and z=0 h. z = -0.46 and z=0 a. The area under the standard normal probability distribution is 0.314 (Round to three decimal places as needed.) b. The area under the standard normal probability distribution is 0.477 (Round to three decimal places as needed.) c. The area under the standard normal probability distribution is 0.499 (Round to three decimal places as needed.) d. The area under the standard normal probability distribution is (Round to three decimal places as needed.) e. The area under the standard normal probability distribution is (Round to three decimal places as needed.) f. The area under the standard normal probability distribution is (Round to three decimal places as needed.) g. The area under the standard normal probability…

Which statements regarding the mean and standard deviation are TRUE? I. As the number of measurements increases, approaches µ if there is no random error. II. The square of the standard deviation is the average deviation. III. The mean is the center of the Gaussian distribution. IV. The standard deviation measures the width of the Gaussian distribution. I and II ○ III and IV ○ II, III, and IV O I, III, and IV O I, II, and IV

A normal distribution with a mean of O and a standard deviation of 1 is called O a probability density function. O a standard normal distribution. O an ordinary normal curve. none of the other statements is correct.

The t distribution should be used whenever: Select one: A. the population is not normally distributed. B. the sample standard deviation is used to estimate the population standard deviation. C. None of the answers are correct. D. the sample size is less than 30.