Jennifer Nguyen, a Humber College Healthcare Management program graduate who always had only perfect marks in statistics, was hired by the famous Healthy Lifemedical insurance company. Jennifer is assigned to conduct statistical analysis of medical and financial data. As Jennifer is on probation, please help her to complete the following six tasks. In problems 2-6, state hypotheses H₀and H₁and provide detailed conclusions (based on P-values or critical values/test statistics) together with the Exceloutput. For your convenience the data are given in the Major Assignment Data file. You can also find useful information on the Blackboard in Excel Instructions folder. Jennifer’s manager Dr. Jonathan Steinberg, who has degrees and publications in both mathematical statistics and medical science, asked her to find estimates of the average dental claim reimbursement for 2019. As Healthy Lifehas many thousands of clients it is virtually impossible to calculate the population mean. Using the Excel Random Number Generator function, Jennifer found a random sample of 52 dental claims submitted to Healthy Life. The amounts covered by insurance you can see in the Major Assignment Data file. Please help Jennifer Nguyen to construct90%,95%, and 99%confidence intervals for the true average reimbursement. Make sure that t-distribution is applicable: build a histogram with the bin values, for example, $100, $200, $300, $400, and $500, and check whether it is approximately symmetric and bell-shaped. Then, use Descriptive Statistics function from Data Analysis. Constructing confidence intervals, please round values to two decimal places.

1. A manager wishes to check the miles her taxi cabs are driven each day. Her findings are shown below. Construct a frequency distribution, using ten classes.

   136	97	163	118	146	109	99
   124	119	151	122	131	124	101
   118	118	119	142	124	137	106
   152	99	107	151	139	116	137
   143	105	99	125	108	160	142

   What is the Range? Blank 1

   What is the Class Width? Blank 2

   Fill in the table after creating it on paper. rf and crf are rounded to two decimal places. To input the Class Limits and Class Boundaries, you will need to put the lower class limit/boundary in the first blank and the upper class limit/boundary in the blank below where you input the lower. It is the way the Blackboard tool works.

   Class Limits	Class Boundaries	Midpoints	f	cf	rf	crf
   Blank 3-Blank 4	Blank 5-Blank 6	Blank 7	Blank 8	Blank 9	Blank 10	Blank 11
   Blank 12-Blank 13	Blank 14-Blank 15	Blank 16	Blank 17	Blank 18	Blank 19	Blank 20
   Blank 21-Blank 22	Blank 23-Blank 24	Blank 25	Blank 26	Blank 27	Blank 28	Blank 29
   Blank 30-Blank 31	Blank 32-Blank 33	Blank 34	Blank 35	Blank 36	Blank 37	Blank 38
   Blank 39-Blank 40	Blank 41-Blank 42	Blank 43	Blank 44	Blank 45	Blank 46	Blank 47
   Blank 48-Blank 49	Blank 50-Blank 51	Blank 52	Blank 53	Blank 54	Blank 55	Blank 56
   Blank 57-Blank 58	Blank 59-Blank 60	Blank 61	Blank 62	Blank 63	Blank 64	Blank 65
   Blank 66-Blank 67	Blank 68-Blank 69	Blank 70	Blank 71	Blank 72	Blank 73	Blank 74
   Blank 75-Blank 76	Blank 77-Blank 78	Blank 79	Blank 80	Blank 81	Blank 82	Blank 83
   Blank 84-Blank 85	Blank 86-Blank 87	Blank 88	Blank 89	Blank 90	Blank 91	Blank 92

Assignment Purpose

Write a well commented java program that demonstrates the use and re-use of methods with input validation.

Instructions

1. It is quite interesting that most of us are likely to be able to read and comprehend words, even if the alphabets of these words are scrambled (two of them) given the fact that the first and last alphabets remain the same. For example,

“I dn'ot gvie a dman for a man taht can olny sepll a wrod one way.” (Mrak Taiwn)

“We aer all moratls, Hamrbee is an immoratl, and tehre is no question abuot it.” (Kevin Unknown)

2. Write a method named scramble that returns a String and takes a String as an argument.
   1. The argument is actually a word (of length 6 or more).
   2. It then constructs a scrambled version of that word, randomly flipping two characters other than the first and last one.
3. Then write the main method in which you would read the word from the user, send it to scramble, and print the scrambled word.
   1. You can use a loop to read multiple words if you like but it is not necessary.
   2. If the length of the entered word is less than 6, you should keep prompting the user to enter a valid word.
4. After writing all the comments, generate a Javadoc and submit it with the java file.

Hint: First generate two random integers in range of the length of the string. Then use substring method to access characters at those locations. Rest is left to your imagination.

Submission

A .java and a .html (generated with Javadoc) file

Assignment Purpose

The purpose of this lab is to write a well commented java program that demonstrates the use and re-use of methods with input validation.

Instructions

1. It is quite interesting that most of us are likely to be able to read and comprehend words, even if the alphabets of these words are scrambled (two of them) given the fact that the first and last alphabets remain the same. For example,

“I dn'ot gvie a dman for a man taht can olny sepll a wrod one way.” (Mrak Taiwn)

“We aer all moratls, Hamrbee is an immoratl, and tehre is no question abuot it.” (Kevin Unknown)

2. Write a method named scramble that returns a String and takes a String as an argument.
   1. The argument is actually a word (of length 6 or more).
   2. It then constructs a scrambled version of that word, randomly flipping two characters other than the first and last one.
3. Then write the main method in which you would read the word from the user, send it to scramble, and print the scrambled word.
   1. You can use a loop to read multiple words if you like but it is not necessary.
   2. If the length of the entered word is less than 6, you should keep prompting the user to enter a valid word.
4. After writing all the comments, generate a Javadoc and submit it with the java file.

Hint: First generate two random integers in range of the length of the string. Then use substring method to access characters at those locations. Rest is left to your imagination.

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.5 pounds and a standard deviation of 6.9 pounds.

1a) If a sampling distribution is created using samples of the amounts of weight lost by 62 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

1b) If a sampling distribution is created using samples of the amounts of weight lost by 62 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

2) Suppose the horses in a large stable have a mean weight of 1128lbs, and a standard deviation of 58lbs. What is the probability that the mean weight of the sample of horses would be greater than 1136lbs if 37 horses are sampled at random from the stable? Round your answer to four decimal places.

3) Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.9 and a mean diameter of 200 inches. If 78 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 199.8 inches? Round your answer to four decimal places.

4) Suppose cattle in a large herd have a mean weight of 1228lbs and a variance of 8100. What is the probability that the mean weight of the sample of cows would differ from the population mean by less than 9lbs if 115 cows are sampled at random from the herd? Round your answer to four decimal places.

An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the coins are distinguishable and fair, and that what is observed are the faces uppermost.

Three coins are tossed; the result is at most one tail.

An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.

Two dice are rolled; the numbers add to 3.

An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.

Two dice are rolled; the numbers add to 11.

An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.

Two dice are rolled; the numbers add to 13.

An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.

Two dice are rolled; both numbers are prime. (A positive integer is prime if it is neither 1 nor a product of smaller integers.)

Use the given information to find the indicated probability.

P(A ∪ B) = .8, P(B) = .7, P(A ∩ B) = .4.

Find P(A).

Use the given information to find the indicated probability.

P(A) = .78.

Find P(A').

P(A') =

QUESTION 7

1. Michael surveys children in the special needs class at his church. He wants to know how supportive relationships can influence autistic children's social development. What is the sample?

QUESTION 8

1. When conducting a statistical test, a high p-value indicates

QUESTION 9

1. Which value is used to determine the practical significance of a t-test?

QUESTION 10

1. What is the problem with running multiple t-tests?

QUESTION 11

1. Suppose that an analysis of variance (ANOVA) produces an F statistic with a p-value of .050. What can we conclude based on these results?

QUESTION 12

1. What is the alternate hypothesis of a chi-square test?

6.When comparing the future value of two investments: one that earns 6% p.a. simple interest and the other that earns 6% p.a interest compounding annually, the difference can best be described as:

Select one:

A. the time value of money

B. a pricing convention in money markets

C. compound interest

D. interest on interest

7.A loan for $5,000 is to be repaid by payments of $2,000 after 1 year and $X after 2 years. Interest is at 9%p.a compounding monthly. If we use the monthly periodic interest rate, the time intervals for the timeline should be in:

Select one:

a. Months

b. Years

c. Half-years

d. Quarters

8.Intermediaries, by managing deposits they receive, are able to make loans of a long-term nature whilst satisfying saver's preferences for short-term, liquid claims. This statement is referring to which important attribute of financial intermediation?

Select one:

A. Maturity transformation

B. Credit risk transformation

C. Asset transformation

D. Investment transformation

The effectiveness of antidepressants in treating the eating disorder bulimia was examined in the article “Bulimia Treated with Imipramine: A Placebo-Controlled Double-Blind Study” (American Journal of Psychology [1983]: 554–558). A group of patients diagnosed with bulimia were randomly assigned to one of two treatment groups, one receiving imipramine and the other a placebo. One of the variables recorded was binge frequency. The authors chose to analyze the data using a rank-sum test because it makes no assumption of normality. They stated that “because of the wide range of some measures, such as frequency of binges, the rank sum is more appropriate and somewhat more conservative.” Data on number of binges during one week that are consistent with the findings of the article are given in the following table:

Placebo 8 3 15 3 4 10 6 4

Imipramine 2 1 2 7 3 12 1 5

Do these data strongly suggest that imipramine is effective in reducing the mean number of binges per week? Use a level .05 rank-sum test.