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The cycle of 125,000 man hours by measuring the time spent on the production of the first boat in a company that manufactures boats. At this firm, updating labor cost at $ 40 per hour. In the past, it is known that the rate of learning can learn from analyzes is 85%. Accordingly, answer the questions in the options given below.

a) Cumulative calculation required for a total of four bots.

b) Determine the total labor cost for the four boats produced.

c) If you teach 100,000 man hours for the production of the third bot and the learning rate is 80%, it will take into account how long the first bot is produced.

Q2:

Suppose the capacity of each machine in Station 1 in the Littlefield Technologies game is 13 orders per day. Suppose there are 2 machines in this station. The utilization of this station is 78%. On average, there are 15 loads in this station (either in the waiting line or on the machines). Assume 24 working hours per day.

Compute the flow time in this station.

Potential Answers:

17 hours.

8.16 hours.

9.7 hours.

17.75 hours.

6.48 hours.

Q3:

The world happiness report 2017 provides a happiness score for countries using the data collected by the Gallup World Poll. Assuming happiness score is approximately normal with mean 5.35 with a standard deviation of 1.13, answer the below questions.

What percentage of countries has a happiness score of at least 7.0?

What percentage of countries has a happiness score less than 3.0?

What percentage of countries has a happiness score in between 3.0 and 6.0?

Q4:

Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.

10.1

9.2

10.9

9.5

9.4

9.8

10.0

9.9

11.2

12.1

(a)

Use a calculator with mean and sample standard deviation keys to find the sample mean readingand the sample standard deviation s. (in mg/dl; round your answers to two decimal places.)

=mg/dl

s =mg/dl

(b)

Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (in mg/dl; round your answer to two decimal places.)

lower limitmg/dl

upper limitmg/dl

(c)

Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain.

Yes. This confidence interval suggests that the patient may still have a calcium deficiency.Yes. This confidence interval suggests that the patient no longer has a calcium deficiency.No. This confidence interval suggests that the patient may still have a calcium deficiency.No. This confidence interval suggests that the patient no longer has a calcium deficiency.

Q5:

A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of

1083

people age 15 or? older, the mean amount of time spent eating or drinking per day is

1.08

hours with a standard deviation of

0.75

hour. Complete parts?(a) through?(d) below.

?(a) A histogram of time spent eating and drinking each day is skewed right. Use this result to explain why a large sample size is needed to construct a confidence interval for the mean time spent eating and drinking each day.

A.

The distribution of the sample mean will always be approximately normal.

B.

The distribution of the sample mean will never be approximately normal.

C.

Since the distribution of time spent eating and drinking each day is not normally distributed? (skewed right), the sample must be large so that the distribution of the sample mean will be approximately normal.

Your answer is correct.

D.

Since the distribution of time spent eating and drinking each day is normally? distributed, the sample must be large so that the distribution of the sample mean will be approximately normal.

1. Consider two discrete random variables, X and Y,| with marginal pmf's fX(3:) and fy(y). Come up with an example for which the two random variables have different probability distributions, but the same means, i.e. fX(:r) y fy (.93) for at least one value of 3:, but E [X] : E [Y] Keep your example as simple as possible. Do they have the same variance? In at most 5 sentences, discuss why this shows that the probability distribution contains more information about a random variable than its mean. 3. You have a coin which is 'heads' with probability - and 'tails' with probability . Suppose you flip your coin twice (the two flips are independent). (i) Let A be the event that the first flip is 'heads' and the second flip is 'tails'. What is Pr(A)? [1] (ii) Let B be the event that the two flips are different. What is Pr( B | A)? [2] (iii) Use Bayes' theorem to calculate Pr(A | B) (no marks without using Bayes' theorem). [3]In a business class, 14% of the students have never taken a statistics class, 20% have taken only one semester of statistics, and the rest have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that neither of your two group mates has studied statistics? O A. 0.020 O B. 0.109 O C. 0.340 O D. 0.040 O E. 0.860