The information underneath are X bar and R esteems for 25 examples of size n=4 taken from an interaction filling packs of compost. The estimations are made on the fill weight of the packs in pounds.

Set up the X bar and R graphs on this cycle. Decipher the diagrams. Does the interaction appear to be in charge? In the event that important, expect assignable causes and amend the preliminary control limits. In the event that the normal fill of the packs is to be 50.0 pounds, how does this cycle analyze?

Subgroup Number

X bar

Reach

Subgroup Number

X bar

Reach

1

50.3

0.73

14

50.8

0.70

2

49.6

0.75

15

50.0

0.65

3

50.8

0.79

16

49.9

0.66

4

50.9

0.74

17

50.4

0.67

5

49.8

0.72

18

50.5

0.68

6

50.5

0.73

19

50.7

0.70

7

50.2

0.71

20

50.2

0.65

8

49.9

0.70

21

49.9

0.60

9

50.0

0.65

22

50.1

0.64

10

50.1

0.67

23

49.5

0.60

11

50.2

0.65

24

50.0

0.62

12

50.5

0.67

25

50.3

0.60

13

50.4

0.68

78))

The likelihood that an individual arbitrarily chose from a specific populace has a specific llness is .05. A symptomatic test accurately distinguishes the presence of the infection 98% f the time and effectively recognizes the shortfall of the illness 99% of the time.

In the event that the test is applied twice, the two test outcomes are free, and both are positive, what is the (back) likelihood that the chose individual has the illness?

[Hint: Tree chart with original branches comparing to Disease and No Disease, and second-And third-age branches relating to aftereffects of the two tests.]

Glen Evans is a crisis clinical professional for a

nearby salvage group and is regularly approached to deliver

crisis care to residents confronting emergency circumstances. Despite the fact that

Glen has gotten broad preparing, he additionally depends vigorously

on his hardware for help. During a typical call, Glen

utilizes five fundamental bits of hardware, whose person

reliabilities are 0.98, 0.97, 0.95, 0.96, and 0.99, separately.

a. Glen guarantees his gear has greatest likelihood of

disappointment of 5%. It is safe to say that he is right?

b. What singular hardware reliabilities would ensure a general dependability of 96%?

In a specific town, residents' gatherings have recognized three convergences as possibly risky. They gathered the accompanying information.

Crossing points

A B C

@20@

Number of

vehicles/day 25,500 3,890 8,580

Number of vehicles

in mishaps/year 172 55 138

For every crossing point, discover the likelihood Pr(n) that a vehicle entering the convergence will be engaged with a mishap. (Utilize 365 days out of every year. Round your responses to seven decimal spots.)

2. (10 pts) Picking stickers. Envelope 1 contains 51 Stat 134 stickers and d1 Stat 140 stickers. Envelope 2 contains 52 Stat 134 stickers and d2 Stat 140 stickers. Your friend chooses one envelope uniformly at random and hands it to you. You pick one sticker out uniformly at random and it is a Stat 134 sticker. Without replacing the sticker you just picked, what is the chance that the next sticker you pick (also uniformly at random) from the same envelope is a Stat 140 sticker? 16. [1 pt] Ho: US -2 vs. HA : u > -2: The summary statistics from a sample show sample mean X = -1.54, sample standard deviation s = 1.63, and n = 37. (a) test stat = 1.7166, p-value = 0.0473 (b) test stat = -1.7166, p-value = 0.0473 (c) test stat = 0.2822, p-value = 0.3897 (d) test stat = -0.2822, p-value = 0.3897 17. [1 pt] Ho: p 2 0.67 vs. HA: p