# Probability and Statistics

## Question 10 View Policies Current Attempt in Progress A random sample of 17 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5. Find the range for the p-value and the critical and observed values of for the following test of hypothesis, using a = 0.01. Ho: = 55 versus H: 55. Round your answers for the values of t to three decimal places. critical left critical right i observed i

EXPERT ANSWER Answer) Given test is two tailed N = 17 Degrees of freedom is = n-1 = 16 For 16 dof and 0.01 alpha (two tailed) Critical values t from t table are -2.921 and 2.921 tcritical left = -2.921 tcritical right = 2.921 t observed = (sample mean – claimed mean)/(s.d/√n) t = …

## The following table gives information on the calorie count and grams of fat for the11types of bagels produced by Panera Bread.a. Find the least squares regression line with calories as the dependent variable and fat content as the independent variable.Round your answers to three decimal places.

The following table gives information on the calorie count and grams of fat for the11types of bagels produced by Panera Bread. Bagel Calories Fat (grams) Asiago Cheese 330 5.0 Blueberry 330 2.2 Chocolate Chip 370 5.8 Cinnamon Crunch 430 8.0 Cinnamon Swirl & Raisin 320 1.5 Everything 300 2.9 French Toast 350 5.6 Jalapeno & …

b) Consider an ascendingly sorted circular doubly-linked list. Given a pointer called “Head” that points to the header of the doubly-linked list, what is the asymptotic complexity of the following functions.: (total 4 marks: 1 mark each) [Hint: your answer should be supported with explanation]1) Finding the largest element in the list?2) Determining whether a …

## it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with probability 1/2. On the other hand, the probability of being late is reduced to 1/8 if it is not rainy and there is no heavy traffic. In other situations (rainy and no traffic, not rainy and traffic) the probability of being late is 0.25. You pick a random day.IMPORTANT: Use both tree diagram and application of chain rule to show your result. What is the probability that it’s not raining and there is heavy traffic and I am not late?

it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with probability 1/2. On the other hand, …

## In my friend’s town (not Vancouver), it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with probability 1/2. On the other hand, the probability of being late is reduced to 1/8 if it is not rainy and there is no heavy traffic. In other situations (rainy and no traffic, not rainy and traffic) the probability of being late is 0.25. You pick a random day.a) What is the probability that it’s not raining and there is heavy traffic and I am not late? Use both tree diagram and application of chain rule to show your result.b) What is the probability that I am late? Use both tree diagram and the law of total probability to show your result.c) Given that I arrived late at work, what is the probability that it rained that day?

In my friend’s town (not Vancouver), it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with …

## Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Crnk· Montana After examining accou ingre erds for th gro﹁ o \$850 per day about 70% ofthe business days at iu opo. Binate the probabiley that the store wil poss over ses。for the flewing. (Round your man decimal places.) a) at least 3 out of S buniness days 8369 (b) at least 6 out of 10 business days 5497 (c) fewer than 5 out of 10 business days fewer than 6 out of the next 20 business days 0i itmake you naspece that o e ha If the outcome described in part (d) actually occurred, might it shake your confidence in the statemeno | ◆ves. This is unikely to happen if the true value of p is 0.20. Yes. This is likeily to happen if the true value of p is o. 0 No.This is unikey to happen if true value of ρ is 0.30. No. This ilkaly to happen ,the trw wal e o,pi, 0.70. days more than 17 out of the nest 20 busine If the outcome described in part () actualy occurred, might you suspect nat p in greator than this is unlikely to happen t the tue the true value of ρ mo.N). p80. This is undkely to happen Oye here to HANNspree

The following gave the starting salary for stundents who recently graduated from a local university and accepted jobs soon after graduation. The starting salary, GPA, and major are provided. Salary (\$) GPA MAJOR 32,500 2.9 other 41,500 3.5 Business 37,800 3.8 business 36,500 2.9 other 44,000 3.6 Business 31,500 2.1 other 36,200 2.6 business 33,200 …

## Assume that in the 1000 business accounts of a bank. 120 have been fraudulently altered. The alterations are sufficiently subtle that only a detailed audit can uncover them. Fifty business accounts are chosen at random for detailed auditing. What is the probability that at least one of the alterations is discovered? Find the expected value and variance of the number of altered accounts discovered during the audit

EXPERT ANSWER Given X~Binomial(n=50, p=120/1000=0.12)P(X=x)=xC50*(0.12^x)*(0.88^(50-x)) a. So the probability isP(X>=1)=1-P(X=0)=1-0.88^50=0.9983245

## What is the utility of exponential chi-square and F-square statistical distribution? Which one is superior in dealing with business and economic application? Discuss throughly and explain using appropriate business/ economic examples.

What is the utility of exponential chi-square and F-square statistical distribution? Which one is superior in dealing with business and economic application? Discuss throughly and explain using appropriate business/ economic examples. EXPERT ANSWER