true or fulse

q1

In a regression model it is given that the estimate of intercept is 5 and the estimate of slope is 4 , then the value of dependent variable y for x = 2 is 14.

True

False

q2

When looking at the waiting line at SEU daam system, we can assume that calling population is limited. True

False

q3

A coffee machine can serve customers at the rate of 20 per hour . The customers arrive at the rate of 10 per hour. The probability of more than one customer in the system is 0.25.

True

False

q4

If the coefficient of determination for some data is 0.3, then the correlation coefficient is

True

False

q5

If we make changes in the technological coefficient from 3x +2y ≤ 50 to 6x + 2y ≤ 50, it may cause a change in the optimal solution.

True

False

q6

The customer who arrives at a bank , sees a long line , and leaves to return another time is called balking.

True

False

q7

A vendor selling vegetables on a street corner is an example of a multi-channel, single-phase system.

True

False

q8

  The Graphical Method in Linear programming Problem can also work when there are more than two decision variables.

True

False

Consider the value of t such that 0.1 of the area under the curve is to the right of t.

Step 2 of 2 :  

Assuming the degrees of freedom equals 13, select the t value from the t table.

Customers arrive at a cafe every 2 minutes on average according to a Poisson process. There are 2 employees working at the bar providing customer service, i.e., one handling customer orders and another handling payments. It takes an average of 1 minute to complete each order (exponentially distributed). Based on the above:

f. What are the service time probability density and cumulative distribution functions?

g. What percentage of customer orders will be prepared in exactly 2 minutes?

h. What are the chances it will take between 3 and 4 minutes to prepare a customer’s order?

i. What is the average service rate for completing orders?

j. What is the average number of customers waiting to order?

k. What is the average number of customers at the cafe?

l. On average, how long does it take to serve a customer?

Two advertising media are being considered for the promotion of a product. Radio ads cost $480 each, while newspaper ads cost $550 each. The total budget is $20,000 per week. The total number of ads should be at least 30, with a max of 5 newspaper ads. Each newspaper ad reaches 8,000 people, while each radio ad reaches 5,000 people.

Let R = # of radio ads

Let P = # of newspaper ads

Max 5000 R + 8000P

s. t.

480R + 550P <= 20000 cost of ads

R + P >= 30 total # of ads

P <= 5 max number of newspaper ads

R,P >= 0

Round your answers to the highest whole numbers

The company wishes to reach as many people as possible while meeting all the constraints stated, what is maximum reach?

How many ads of each type should be placed?

Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the following probabilities. (Round all answers to four decimal places.)

(a)

P(z < 0.1) =

(b)

P(z < −0.1) =

(c)

P(0.40 < z < 0.85) =

(d)

P(−0.85 < z < −0.40) =

(e)

P(−0.40 < z < 0.85) =

(f)

P(z > −1.25) =

(g)

P(z < −1.5 or z > 2.50) =

Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Round all answers to two decimal places.)

(a) P(z < z*) = 0.0256
z* =

(b) P(z < z*) = 0.0098
z* =

(c) P(z < z*) = 0.0507
z* =

(d) P(z > z*) = 0.0198
z* =

(e) P(z > z*) = 0.0098
z* =

(f) P(z > z* or z < −z*) = 0.2009
z* =

The time it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean of 120 seconds and a standard deviation of 20 seconds.  The fastest 10% are to be given advanced training. What task time qualifies individuals for such training? (Remember the fastest times takes the least amount of time.) Use Excel to find your answer .Round your answer to the nearest second.  

Fill out the answer sheet for each of the hypothesis tests below, using a 5% level of significance. Use 4 decimal places, unless the p-value is really small (less than 0.0001), in which case use at least 2 significant figures This means 2 non-zero numbers somewhere after the decimal point). Axis of graphs should be drawn with a ruler or done on a computer.

Suppose that students own an average of 4 pairs of jeans. 8 people from your class were surveyed to determine if the average for students at De Anza College is higher than 4.

DATA TO USE: 2,2,3,4,6,6,8,9

a. Give the null and alternative hypotheses: Ho: _______________ Ha: ___________________

b. In words, CLEARLY state what your random variable X or P' represents.

c. State the distribution to use for the test. If t, include the degrees of freedom. If normal, include the mean and standard deviation.

d. p-value = ______________

e. In 1 – 2 complete sentences, explain what the p-value means for this problem.

f. Use the previous information to draw a graph of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value. The values of your sample statistic and the hypothesized value of the population parameter should be on the axis.

g. Indicate the correct decision (“reject the null hypothesis” or “do not reject the null hypothesis”) and write an appropriate conclusion, using COMPLETE SENTENCES.

Decision:

Conclusion:

h. Construct a 95% Confidence Interval for the true mean or proportion. Include a sketch of the graph of the

situation. Label the point estimate and the lower and upper bounds of the Confidence Interval.

Confidence Interval: ( ___________________ , ___________________ )

i. Interpret the confidence interval in a complete sentence.

A researcher is interested in evaluating a certain brand of radial auto tire. Twenty tires are randomly selected from retail outlets throughout the country, and each is placed on a special machine which rotates the tires at a constant speed (equivalent to 55 miles per hour) against the friction equivalent of a 4000 pound auto being driven on a smooth highway. Each tire is run until there is no tread left. The number of miles (in thousands) were as follows: 40, 30, 32, 35, 39, 35, 31, 36, 37, 35, 34, 35, 37, 34, 36, 38, 35, 36, 35, 36.

Setting alpha at .01, test the hypothesis that this sample of tires could represent a population whose mean was 36.50.

A researcher is interested in studying average hours per year spent on continuous medical education by physicians in a large hospital system. The data is limited to demographics (age, race, gender), professional characteristics (years worked in the field, specialty) and self-reported hours of CME.

What is the independent variable? What is the dependent variable? Is the dependent variable continuous or categorical? Is the independent variable(s) continuous or categorical?

Discuss the relevancy and application of linear programming to business.

This question was posted before but the answer was hand written and not legible to read, if the answer is hand written can it please be legible. I need to type 2 page on this subject.

The probability that a student uses Smarthinking Online Tutoring on a regular basis is 0.35 . In a group of 21 students, what is the probability that exactly 8 of them use Smarthinking Online Tutoring on a regular basis? Write only a number as your answer. Round to 4 decimal places (for example 0.2416). Do not write as a percentage.

Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)

A.The area to the right of z is 0.08.

B.The area to the right of z is 0.025.

C.The area to the right of z is 0.05.

D.The area to the right of z is 0.10.

Does Retail Stores Growth Reduced by E-commerce Growth?

Null Hypothesis: H_o: Retail stores growth doesn’t reduce by E-commerce growth.

Alternative Hypothesis: H_a: Retail stores growth does reduce by E-commerce growth

Do the chi-square test for goodness of fit. with the level of significance is 0.05

A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with σ=3

(a)    Compute a 90% CI for μμ when n=60 and x¯=60

≤μ≤

(b)    Compute a 95% CI for μ when n=70 and x¯=54.4

≤μ≤

(c)    Compute a 95% CI for μ when n=70 and x¯=47.9

≤μ≤

(d)    Compute a 90% CI for μ when n=55 and x¯=45.1

≤μ≤

If the p-value has to be between 1 and 0, how do we approximate the p-value? For example, the p-value is 0.99999999777 when I use R, but if I put the same information into the Minitab, the p-value becomes 0. What is the rule for an approximation when it comes to the p-value? Is any p-value 0.9 and lower always going to be less than alpha=0.05?