Exercise 5

Mr. Ahmed, MD of XYZ company wants to select one of the following candidates on the basis of their performance (marks) in the last 5 quarters of their MBA program.                                                           

            Quarter:           I           II         III        IV        V

            Mr. Abdulla    95        90        85        80        75

            Mr. Khalid      75        80        85        90        95

            (i). Which candidate is more consistent, show the quantitative working?

            (ii). Which candidate you will recommend, show the quantitative working?

Exercise 6

In a sample study about coffee-drinking habits in two towns, the following information was received.

Town-A: Females were 40 percent. Total coffee drinkers are 45 percent and male non-coffee drinkers were 20 percent.

Town-B: Males were 55 percent. Male non-coffee drinkers were 30 percent and Female coffee drinkers were 15 percent.

Present the above data in a tabular form.

Exercise 7

The data on fund flow (in million AED) of an international airport authority during the financial year 2015, 2016 and 2017 are given below.

Present the data by a suitable chart.

Exercise 8

The following data relate to area in millions of kilometers oceans of the world.

Represent the above data by a suitable method.

Exercise 9

The following data represent the income and dividends for the last six years.

(a). Present the data graphically.

(b). Analyze the data and interpret.

3. An analyst was asked to predict the gross social benefits of building a public swimming pool in Dryville, which has a population of 70,230 people and a median household income of $31,500. The analyst identified 24 towns in the region that already had public swimming pools. She conducted a telephone interview with the recreation department in each town to find out what fee it charged per visit (FEE) and how many visits it had during the most recent summer season (VISITS). In addition, she was able to find each town’s population (POP) and median household income (INCOME) in the most recent census. Her data are as follows:

1. Show how the analyst could use these data to predict the gross benefits of opening a public swimming pool in Dryville and allowing free admission.
2. Predict gross benefits if admission is set at $1.00

Personal Budget

At the beginning of the school year, Craig Kovar decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Use the minus sign to indicate cash outflows, a decrease in cash or cash payments.

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b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

Static

c. What are the budget implications for Craig Kovar?

Craig can see that his present plan will not provide  sufficient cash. If Craig did not budget but went ahead with the original plan, he would be $ ________ short  at the end of December, with no time left to adjust.

Refer to the Buena School District bus data ( 2012). Select the variable referring to the number ofmiles traveled last month, and then organize these data into a frequency distribution. a. What is a typical amount of miles traveled? What is the range? b. Comment on the shape of the distribution. Are there any outliers in terms of milesdriven? c. Draw a cumulative frequency distribution. Forty percent of the buses were driven fewerthan how many miles? How many buses were driven less than 850 miles? d. Refertothevariablesregardingthebustypeandthenumberofseatsineachbus.Drawa pie chart of each variable and comment on your findings

Consider the following situation. You are riding on a school bus and are juggling three oranges.Ultimately, you wish to analyze the motion of the oranges by applying Newton's laws.

a. give two conditions that must be met for the interior of the bus to be used as an inertial frame of reference

b. if the windows of the bus are covered and the road was perfectly smoooth, would you be able to determine whether or not the bus was moving? Explain?

c. if you analyzed the motion of the oranges while the bus is travelling at 60 miles per hour and again while it is standing still, would you arrive at the same answers.

d. could you get any clues from the motion of the oranges as to whether or not the bus was moving?

e. if the bus driver suddenly slammed on the brakes, slowing the bus from 60 miles per hour to a stop in a few seconds, would you be able to continue to juggle the oranges during the deaceleration of the bus?

f. During the deacceleration of the bus, would it still qualify as an inertial frame of reference.

2. Consider juggling a set of three oranges while seated on a merry-go-round. Would it be possible to analyze the motion of the oranges within the context of an inertial frame of reference?

3. Consider standing on the surface of the earth and juggling three oranges. Since the earth is rotating and orbiting the sun, is it possible to analzye the motion of the oranges within the context of an inertial frame of reference?

2. An educator claims that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania is less than $65 per day. A random sample of eight schools districts is selected and the daily salaries are shown below. Is there enough evidence to support the educator’s claim? Perform the appropriate hypothesis test using a significance value of 0.05.

.

            65        68        64        63        65        59        63        58       

Find the p-value for the above hypothesis test.

What do you conclude using the p-value?

If you pay more in tuition to go to a top business​school, will it necessarily result in a higher probability of a job offer at​ graduation? Let y=percentage of graduates with job offers and x=tuition ​cost; then fit the simple linear​ model, E(y)=β0+β1x​, to the data below. Is there sufficient evidence​ (at α=0.05) of a positive linear relationship between y and​ x?

Give the null and alternative hypotheses for testing whether there exists a positive linear relationship between y and​ x?

A.H0​: β0=0

Ha​:β0≠0

B.H0​: β1=0

Ha​:β1≠0

C.H0​: β0=0

Ha​: β0>0

D.H0​: β0=0

Ha​: β0<0

E.H0​: β1=0

Ha​: β1<0

F.H0​: β1=0

Ha​:β1>0

Find the test statistic.

t=_________

​(Round to two decimal places as​ needed.)

Find the​ p-value.

​p-value=_________

​(Round to four decimal places as​ needed.)

Make the appropriate conclusion at α=0.05.

Choose the correct answer below.

A.Reject H0. There is sufficient evidence that there exists a positive linear relationship between y and x.

B.Do not reject H0. There is sufficient evidence that there exists a positive linear relationship between y and x.

C.Do not reject H0. There is insufficient evidence that there exists a positive linear relationship between y and x.

D.Reject H0. There is insufficient evidence that there exists a positive linear relationship between y and x.

Personal Budget

At the beginning of the school year, Katherine Malloy decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except an overall cash decrease which should be indicated with a minus sign.

b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

c. Malloy can see that her present plan   sufficient cash. If Malloy did not budget but went ahead with the original plan, she would be $   at the end of December, with no time left to adjust.

2.In a high school, 16% are Freshmen, 14% are Sophomores, 38% are Juniors, and 32% are Seniors. Suppose 15 students are randomly selected. Find the probability that

a) 4 are Freshmen, 5 are Sophomores, and the rest are neither Freshmen nor Sophomores (in any order)

b) either exactly one is Senior and all the others are not Senior (in any order) or exactly one Freshman, one Sophomore, one Junior and all the others are Seniors ( in any order)

Note: For each part, just give the formula as an answer; numerical answer is not required.

3. If seven fair dice are rolled, what is the probability that the number 2 and the number 6 will appear the same number of times?

(Note: “Same number of times” includes both 2 and 6 not appearing at all)