Determine the sample size necessary to estimate p for the following information. a. E = 0.01, p is approximately 0.60, and confidence level is 96% b. E is to be within 0.04, p is unknown, and confidence level is 95% c. E is to be within 5%, p is approximately 54%, and confidence level is 90% d. E is to be no more than 0.01, p is unknown, and confidence level is 99%

The traffic control system inside Riyadh city is not meeting the expectations of the city traffic police. The system is to be updated within a few weeks to incorporate the traffic intensity, the weather conditions and the VIP movements etc. The entire project is to be completed within 10 weeks as per the following schedule:

At the end of Week 7 of the project you have completed only first six tasks (i.e. you just finished, TID-21 i.e. Data Model Development) with a total of SAR 67,500 spent to date. The Interior Minister asks you to produce a report on the status of project work with the help of earned value method. In particular you are asked to include answers to the following questions in your report:

1. What is the cost variance (CV), cost performance index (CPI), schedule variance (SV) and schedule performance index (SPI) for the project so far?
2. How is the project doing? Is it ahead of schedule or behind schedule? Is it under budget or over budget?
3. Use the CPI to calculate the estimate at completion (EAC) for this project. Is the project performing better or worse than planned?
4. Use the SPI to estimate how long it will take to finish this project.

Use the earned value management (EVM) in the given scenario answering each of the abovementioned question separately.

thank you for time and effort

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard deviation 1 inches.

(a) What is the probability that an 18-year-old man selected at random is between 69 and 71 inches tall? (Round your answer to four decimal places.)


(b) If a random sample of seven 18-year-old men is selected, what is the probability that the mean height x is between 69 and 71 inches? (Round your answer to four decimal places.)


(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?

-The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

-The probability in part (b) is much higher because the standard deviation is larger for the x distribution.

-The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

-The probability in part (b) is much higher because the mean is smaller for the x distribution.

-The probability in part (b) is much higher because the mean is larger for the x distribution.

Scenario 2: In a city of 100,000 people, there were last year 1000 deaths and 1500 live births (none were multiple births), of which 1200 infants survived to see their first birthday. Three mothers died in childbirth. Using the Week 3 PowerPoint for definitions, calculate the answers to the questions below. (http://adph.org/healthstats/assets/Formulas.pdf )

A poll conducted by GfK Roper Public Affairs and Corporate Communications asked a sample of 1007 adults in the United States, "As a child, did you ever believe in Santa Claus, or not?" Of those surveyed, 84% said they had believed as a child. Consider the sample as an SRS. We want to estimate the proportion p of all adults in the United States who would answer that they had believed to the question "As a child, did you ever believe in Santa Claus, or not?"

(a) Find a 90% confidence interval (±±0.0001) for p based on this sample.

The 90% confidence interval is from __ to ___

b) Find the margin of error (±±0.0001) for 90%.

The margin error is ___

(c) Suppose we had an SRS of just 100 adults in the United States.

What would be the confidence interval (±±) for 95% confidence?

The 50 % confidence interval (+) is from __ to __

(d) How does decreasing the sample size change the confidence interval when the confidence level remains the same?

a. Decreasing the sample size creates a wider interval

b.Decreasing the sample size creates a less wide interval.

A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 75 % . If 217 out of a random sample of 270 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below.

Null Hypothesis

Alternative Hypothesis

type of test statistic

Value of the test statistic

the critical value at the .05 level of significance

Can we reject the aide's estimate that the proportion of college students who intend to vote is at most 75%?

Each member of a random sample of 16 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole population of business economists follow a normal distribution with standard deviation 2.1%

a. The probability is 0.10 that the sample standard deviation is bigger than what​ number?

b. The probability is 0.01 that the sample standard deviation is less than what​ number?

c. Find any pair of numbers such that the probability that the sample standard deviation that lies between these numbers is 0.975.

question about R:

The vectors state.name, state.area, and state.region are pre-loaded in R and contain US state names, area (in square miles), and region respectively.

(a) Identify the data type for state.name, state.area, and state.region.

(b) What is the longest state name (including spaces)? How long is it?

(c) Compute the average area of the states which contain the word “New” at the start of the state name. Use the function substr().

(d) Use the function table() to determine how many states are in each region. Use the function kable() to include the table in your solutions. (Notes: you will need the R package knitr to be able to use kable().

5.1 Combination and permutation

a) ₅C₂

b) 5!

c) Five different drugs, A, B, C, D, and E, can be used to treat a disease in different combinations. If a physician uses two of them to treat patients, how many combinations are possible? List all such combinations.

d) Four different exercises, A, B, C, and D, are recommended for an injury recover therapy program. The therapists want to know whether there is a different treatment effect using i) just one; ii) any two; or iii) any three of the therapies. How many treatment regimens can a therapist choose from? What are they?

e) If the order matters in d), if therapists were to select two exercises out of four, how many treatment options would the therapists have? What are they?

A hospital outpatient clinic performs four types of operations. The profit per operation, as well as the minutes of X-ray time and laboratory time used, are given in the table below. The clinic has 500 private rooms and 500 intensive care rooms. Type 1 and type 2 operations require a patient to stay in an intensive care room for one day, whereas type 3 and type 4 operations require a patient to stay in a private room for one day. Each day, the hospital is required to perform at least 100 operations of each type. The hospital has set the following goals (listed in order of priority):

■ Goal 1: Earn a daily profit of at least$100,000.

■ Goal 2: Use at most 50 hours daily of X-ray time.

■ Goal 3: Use at most 40 hours daily of laboratory time. Use goal programming to determine the types of operations that should be performed.

Please conduct a Hypothesis test in the following scenario to determine if the population slope is statistically significant. State the appropriate test statistic, the critical values, and whether or not you can reject a null hypothesis that the population slope is zero.

Use a 1% significance level. Suppose that you collected data to determine the relationship between the amount of time a person spends online as an independent variable and the amount of money a person spends online as the dependent variable.

The regression equation is = 24 + 8.5x, where x represents the number of hours a person spends online and represents the predicted amount of money that person spends online.

Sample size is 6.

SSE is 200

SSR is 800

SST is 1000

Standard deviation of the sampling distribution of the sample intercept is 9.54

Standard deviation of the sampling distribution of the sample slope is 2.26

Agri-Beef, Inc. is a large Midwestern farming operation. The company has been a leader in employing statistical techniques in its business. Recently, John Goldberg, operations manager, requested that a random sample of cattle be selected and that these cattle be fed a special diet. The cattle were weighed before the start of the new feeding program and at the end of the feeding program. John wished to estimate the average daily weight gain for cattle on the new feed program. Two hundred cattle were tested, with the following sample results: X = 1.2 pounds gain per day and S= 0.50 pounds gain per day.

1. Obtain a 90% confidence interval estimate for the true average daily weight gain.

2. Provide a 96% confidence interval estimate for the true average daily weight gain.

3. John is considering adopting this new diet. However, the weight gain comes at a price. To feed 200 cows for one month, the diet would cost approximately $1,000 more than their current feed program. If the price of beef on the hoof has been close to $0.20 a pound, would such a program be cost effective for Agri-Beef? Support your answer with calculations and statistical reasoning.

A researcher claims the mean age of residents of a small town is more than 38 years. The age (in years) of a random sample of 30 sutdents are listed below. At alpha=0.10, is there enough evidence to support the researcher's claim? assum the population standard deviation is 9 years.

Ages (in years)
41
33
47
31
26
39
19
25
23
31
39
36
41
28
33
41
44
40
30
29
46
42
53
21
29
43
46
39
35
33
42
35
43
35
24
21
29
24
25
85
56
82
87
72
31
53
31
33
54
60
31
81
32
40
26
52
37
71

a) Identify the claim and state Ho and Ha
(b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning
(c)Choose one of the options Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic. Option 2: Find the appropriate standardized test statistic and the P-value
(d) Decide whether to reject or fail to reject the null hypothesis
(e) Interpret the decision in the context of the original claim.