Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to 0.035 inch. The quality control department at the company takes a sample of 20 such rods every week, calculates the mean length of these rods, and tests the null hypothesis, u = 36 inches, against the alternative hypothesis, u # 36 inches. If the null hypothesis is rejected, the machine is stopped and adjusted. A recent sample of 20 rods produced a mean length of 36.015 inches. Calculate the p-value for this test of hypothesis. Based on this p-value, will the quality control inspector decide to stop the machine and adjust it if he chooses the maximum probability of a Type I error to be 0.01? Use the normal distribution table. Round your answer to four decimal places. p-value =i The machine does not need adjustment.

The accompanying histogram is for pulse rates for 125 people. Convert the vertical axis to relative frequency and shows the values that would replace each of the values on the vertical axis.

A California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.

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

Please see attached.

Please answer a and b

The mean score on a driving exam for a group of drivers education students is 72 points with a standard deviation of 6 points. apply Chebyshev theorem  to the data using K=2. Interpret the results. Simplify answer.

please do questions 3 through 8 as its only related to one question!

Ms. Gonzalez has recorded the test scores for each of her 25 students, She has calculated EX? = 320 and (EX) = 5,000, Calculate the estimated population standard deviation for her data. 1.98 2.24 O 5.00 O 3.95

For an exam with a mean of = 74 and a standard deviation of s = 8, Mary has a score of X = 80, Bob’s score corresponds to z = +1.50, and Sue’s score is located above the mean by 10 points. List the students in order from the smallest score to the largest score. Show your computation and draw a picture and place their values.