[4/6, 2:50 PM] Ghty: Wonder Widgets Inc. has 3 plants producing their De-lux Wonder Widget (DWW). Plant A produces 75% of all DWW, plant B 20%, and plant C the remaining 5%.

6% of Plant A's production is defective, 5% of plant B's production is defective, and

1% of plant C's production is defective.

(a) What percent of the total production of DWW is defective?

(b) If a DWW is defective, what is the probability that it was produced in plant A?

[4/6, 4:04 PM] Ghty: Question:

At whatever point a driver experiences slowing down issues, particularly an erratic pulling aside, the scoundrel is constantly held to be the brake cushion. Minor components, particularly titanium, can consolidate with different components to shape minute particles of titanium carbonitride which change the level of grating between the cushion and circle and lead to inconsistent wear. The level of titanium in a brake cushion ought not surpass 5%. An investigation is led to distinguish a circumstance in which the mean level of titanium in the brake cushions being delivered by a specific producer surpasses 5%.

(a) Set up the proper invalid and altemative theories.

(b) Examine the down to earth outcomes of making a Sort I and a Sort II blunder.

(c)A test of 100 brake cushions yields a mean level of x = .051. Expect to be that a = .008. Discover the P an incentive for the test. Do you imagine that Hs ought to be dismissed? Clarify. To what exactly kind of mistake would you say you are presently subject?

Question 82

The current particulate norm for diesel vehicle discharge is .6 g/mi. It is trusted that another motor plan has decreased the outflows to a level beneath this norm. (a) Set up the suitable invalid and altemative theories for affirming that the new motor has a mean emanation level beneath the current norm.

(b) Talk about the reasonable results of making a Sort I and a Sort II blunder.

(c) An example of 64 motors tried yields a mean discharge level of = .5 g/mi. Expect to be that a = .4. Discover the P estimation of the test. Do you believe that Ho ought to be dismissed? Clarify. To what exactly kind of mistake would you say you are currently subject?

Question 83

It is imagined that over 15% of the heaters used to deliver steel in the US are as yet open-hearth heaters. To confirm this conflict. an arbitrary example of 40 heaters is chosen and analyzed.

(a) Set up the proper invalid and elective theories needed to help the expressed dispute.

(b) When the information are accumulated, it is tracked down that 9 of the 40 heaters investigated are open-hearth heaters. Utilize the typical estimate to the binomial dissemination (Sec. 4.6) to discover the P an incentive for the test. Do you believe that Hs ought to be dismissed? Clarify. To what in particular sort of blunder would you say you are currently subject? Hypothesis 4.6.1 (Typical guess to the binomial circulation). Leave X alone binomial with boundaries n and p. For enormous n. Xis roughly typical with mean np and change np(1 - p).

Question 84

It is realized that faulty things will be created even on mechanized mechanical production systems. A specific cycle regularly creates 5% defectives. Assuming the extent of defectives surpasses 5%, the line should be closed down and changed.

(a) Set up the suitable invalid and altemative speculations expected to recognize a circumstance in which the extent of defectives delivered surpasses .05.

(b) Examine the viable results of submitting a Sort I and a Sort II mistake.

(c) An irregular example of 100 things is chosen and tried. Of these, 7 are discovered to be faulty. Utilize the ordinary estimate to the binomial circulation to discover the P estimation of the test. Do you believe that Ha ought to be dismissed?

7. Using the normal distribution to determine proportions, percentiles, and percentile Aa Aa ranks Tai chi exercise may reduce blood pressure (BP) and serve as a practical, nonpharmacological adjunct to conventional hypertension management. A geriatric psychologist is interested in studying nonpharmacological approaches for senior citizens struggling with prehypertension. Systolic blood pressure scores for senior citizens follow a normal distribution with u = 110 and o = 21. Use the Distributions tool to help answer the questions that follow. Note: To find the probability above or below a z-score, click on the normal curve icon with one line, and position the line at the appropriate z-score on the horizontal axis. The areas under the standard normal curve above and below the z-score will be displayed to the left and right of the vertical line, respectively. To find the probability between two z-scores, click on the normal curve icon with two lines, and position the left line at the lower z-score and the right line at the higher z-score. The area under the normal curve between the vertical lines will be displayed in blue. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 AAA The highest possible z-score that is still in the lowest 80% of the systolic blood pressure distribution is z =