The drive-up window at a local bank is searching for ways to improve service. One of the tellers has decided to keep a control chart for the service time in minutes for the first four customers driving up to her window each hour for a three-day period. The results for her data collection appear below:

Using Minitab:

1. Construct the X-bar and R charts?
2. Estimate the standard deviation for the time to service a customer at the drive-up window?
3. Determine whether there are any indications of a lack of control?
4. If the upper specification of the time to service is 6 minutes and the lower specification is 2.5 minutes, using the process parameters estimated from the control charts generate by Minitab the six pack capability analysis?

if it's possible i need the minitab file or link for it

Suppose X has probability distribution

x: 0 1 2 3 4

P(X = x) 0.2 0.1 0.2 0.2 0.3

Find the following probabilities:

a. P(X < 2)

b. P(X ≤ 2 and X < 4)

c. P(X ≤ 2 and X ≥ 1)

d. P(X = 1 or X ≤ 3)

e. P(X = 2 given X ≤ 2)

Five years ago, a company was considering the purchase of 68 new diesel trucks that were 14.63% more fuel-efficient than the ones the firm is now using. The company uses an average of 10 million gallons of diesel fuel per year at a price of $1.25 per gallon. If the company manages to save on fuel costs, it will save $1.875 million per year (1.5 million gallons at $1.25 per gallon). On this basis, fuel efficiency would save more money as the price of diesel fuel rises (at $1.35 per gallon, the firm would save $2.025 million in total if he buys the new trucks).

Consider two possible forecasts, each of which has an equal chance of being realized. Under assumption #1, diesel prices will stay relatively low; under assumption #2, diesel prices will rise considerably. The 68 new trucks will cost the firm $5 million. Depreciation will be 25.49% in year 1, 38.5% in year 2, and 36.35% in year 3. The firm is in a 39% income tax bracket and uses a 9% cost of capital for cash flow valuation purposes. Interest on debt is ignored. In addition, consider the following forecasts:

Forecast for assumption #1 (low fuel prices):

Required: Calculate the percentage change on the basis that an increase would take place from the NPV under assumption #1 to the probability-weighted (expected) NPV.

The left-field wall at a baseball park is 320 feet down the third-base line from home​ plate; the wall itself is 38 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the​ bat, 3 feet off the​ ground, at an angle of 45degrees. Use gequals32 ​ft/sec squared as the acceleration due to gravity and ignore any air resistance. Complete parts​ (a) through​ (d). (a) Find parametric equations that model the position of the ball as a function of time. (b) What is the maximum height of the ball if it leaves the bat with a speed of 120 miles per​ hour? Give your answer in feet. ​(c) What is the​ ball's horizontal distance from home plate at its maximum​ height? Give your answer in feet. ​(d) If the ball is hit straight down the third-base​ line, will it clear the​ wall? If it​ does, by how many feet does it clear the​ wall?

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

Suppose that at five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below.

Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. Solve the problem using the critical region method of testing. (Let d = January − April. Round your answers to three decimal places.)

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Suppose that at five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Wilderness District 1 2 3 4 5 January 133 122 134 64 78 April 110 97 107 88 61 Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. Solve the problem using the critical region method of testing. (Let d = January − April. Round your answers to three decimal places.) test statistic = critical value =

An object with a mass of 49.8 pounds is moving with a uniform velocity of 30.9 miles per hour. Calculate the kinetic energy of this object in joules

1)What is z0 if

P(z > z₀) = 0.12

P(z < z₀) = 0.2

P(z > z₀) = 0.25

P(z < z₀) = 0.3

The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.

32.7
34.0
34.7
35.4
36.0
36.2
37.3
37.6
37.7
37.9
38.1
38.5
38.6
39.0
39.2
39.4
39.9
40.7
41.4
41.8
42.5
42.8
43.7
49.0

Which of the following problems cannot be solved using a proportional relationship?

(i) A 30-mile drive is about 48.3 kilometers. Approximately how many kilometers is a 60-mile drive?

(ii) A gallon of gas costs $3.49 on October 8, 2011 at the Chevron station on the corner of Imola and Soscol. What does 10 gallons of gas cost on that same day at the same station?

(iii) A car travels 50 miles in 2 hours in heavy traffic. How long does it take the car to travel 25 miles in light traffic?