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# Normal Distribution

### On average, your department ships an order two hours after it is received.

On average, your department ships an order two hours after it is received. The distribution of times is approximately normal, the standard deviation is 15 mins. -today you handled 120 orders (empirical rule)a. how many orders would you expect to be shipped : within 2 hours of being received --b. within 1 hour 30 mins How ma

### Probability Statements and Regression Data

3. Spring-loaded canons are designed to shoot t-shirts into the stands at sporting events. Test firings are conducted on a large level field. The distance that a t-shirt flies is a function of the angle of elevation. When the angle is 35 degrees, the distances follow a normal distribution with a mean of 114.0 feet and a standard

### Hypothesis Test for Grocery Receipts

A simple random sample of 100 grocery receipts was drawn from a normal population. The mean and standard deviation of the sample were \$120 and \$25, respectively. Test the hypothesis H0: u = 125 vs H1:u not = 125 at the 10% significance level. Test Statistic = Critical Values(s) = Conclusion: Interpretation: Plea

### Bus stats homework 6 Multiple choice questions on sample means, standard deviation, sample size, normal distribution, t distribution

1) IF the sampled population has a mean 48 and standard deviation 16, then the mean and the standard deviation for the sampling distribution of x-bar for n=16 are: 2) Consider two population distributions labeled A and B. Distribution A is highly skewed and non-normal, while the distribution B is slightly skewed and near norm

### The number of passengers

The number of passengers on the Carnival Sensation during one-week cruises in the Caribbean follows the normal distribution. The mean number of passengers per cruise is 1,820 and the standard deviation is 120. a. What percent of the cruises will have between 1,820 and 1,970 passengers? b. What percent of the cruises will hav

### Which of the following is true regarding the sampling distribution of the mean for a large sample size?

Which of the following is true regarding the sampling distribution of the mean for a large sample size? -A It has the same shape, mean, and standard deviation as the population. -B It has a normal distribution with the same mean and standard deviation as the population. -C It has the same shape and mean as the population, b

### Suppose test scores are normally distributed.

Please refer to the attached question. Suppose test scores are normally distributed. What is the best choice for µ and &#963; , if the average score is 60 and 30% of the scores are over 73?

### The College Board American College Testing Program reported a population mean SAT score of µ 1020. a. What is the probability that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean? b. What is the probability a random sample of 75 students will provide a sample mean SAT score within 20 of the population mean?

25. The College Board American College Testing Program reported a population mean SAT score of µ 1020 (The World Almanac 2003). Assume that the population standard deviation is 100. a. What is the probability that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean? b. What i

### Business Management - Audit Analysis and Statistics.

Can and how would you apply basic probability concepts to facilitate business decision making? What is the difference between discrete and continuous probability distributions? How would you apply the normal distribution to facilitate business decision making?

### Standard Normal Distribution: P(-2.25<z<0)

Use the standard normal distribution to find P(-2.25<z<0) a) 0.6831 b) 0.122 c) 0.4878 d) 0.5122

### Martin Pullin Inventory Plan Calculations

I need your help in checking my caculation the attached inventory plan table for Martin-Pullin Bicycles Corp. My other calcualtions on the case are also included on the spreadsheet, I now need to calculate the inventory table, (there are two tabs on the spreadsheet). The key thing is to set up the inventory plan correctly, a mon

### Crouse Fuse Company: Business + STATs = Operations Management

The Crouse Fuse Company case (attached pdf) presents a problem that may be analyzed with the use of P-Control Charts. The sampling data from operations during the monitored control week are used as a basis for P-Control chart limits in the future. From the data in Exhibit 1 of the case, there are 80 different samples of 5

### Normal Distribution and and Cereal Containers

The amount of cereal in a box is not constant, but the distribution can be modeled with a normal distribution with a mean of 16.5 ounces. If the manufacturer is required to fill 90% of the containers with 16 (or more) ounces of cereal, what is the largest allowable value of the standard deviation ?

### The marketing expenditure budget of a small regional chocolate manufacturer is expected to be no more than \$250 000, no less than \$180 000 and most likely \$200 000.

The marketing expenditure budget of a small regional chocolate manufacturer is expected to be no more than \$250 000, no less than \$180 000 and most likely \$200 000. What is the mean value? And what is the probability that this mean value will exceeded? (Please state any assumptions that you make in performing the necessary calcu

### In the Boston Marathon each April there are approximately 100 male runners who participate and who are considered as world class runners. Normal distribution

Dear OTA, Please provide soulution with detailed steps. Thanks 2. In the Boston Marathon each April there are approximately 100 male runners who participate and who are considered as world class runners. It is known that the time they require to finish the 26.2 mile race is normally distributed with a mean of 135.45 min

### A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9.

A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is: a. Greater than 63. b. Less than 56. c. Between 56 and 63.

### The net sales and the number of employees for aluminum fabricators with similar characteristics are organized into frequency distributions.

Dear OTA, Please help me with steps. Thanks 37.The net sales and the number of employees for aluminum fabricators with similar characteristics are organized into frequency distributions. Both are normally distributed. For the net sales, the mean is \$180 million and the standard deviation is \$25 million. For the number

### Probability - Hotels

A survey for Hotels asked respondents "When traveling internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?" The survey found that 23% of the respondents stick with their tour group. A. In a sample of 6 international travelers, what is the probability t

### Normal Distribution Problem - College of Business at Bradley University in Peoria, Illinois

A study by professors in the College of Business at Bradley University in Peoria, Illinois, revealed that the response time to 911 emergency calls was 4.8 minutes, with a standard deviation of 1.2 minutes. It was assumed that response times were normally distributed. The mayor of Peoria wanted to reduce mean response time enou

### The owners of Spiffy Lube want to offer their customers a 10-minute guarantee. Normal distribution problem.

The owners of Spiffy Lube want to offer their customers a 10-minute guarantee on their standard oil change service. If the oil change takes longer than 10 minutes to complete, the customer is given a coupon for a free oil change at the next visit. Based on past history, the owners believe that the time required to complete an

### Normal Distribution and Z Scores

The distribution of scores on a standardized aptitude test is approximately normal with a mean of 520 and a standard deviation of 100. What is the minimum score needed to be in the top 15 percent on this test? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.

### Normal Distribution and Percentage

The accounting department at Western Materials Inc. national manufacturer of unattached garages, reports it takes two construction workers of a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn MODEL. Assume the assembly times folllow the normal distribution. a. What percent of the garages take betwee

### Normal Distribution statistics

Describe how the following frequency table was prepared. Check several of the intervals to see if you get the same frequency. Frequency distribution of ages (at last birthday) of 400 HIV positive men, San Francisco Reported age limits Frequency (fi ) 20-24 2 25-29 85 30-34 135 35-39 91 40-44 57 45-49

### Normal distribution problem

5. If spouses yearly earnings are varying Normally with X m ~ N (50, 9) X f ~ N ( 60, 15) What is their family total earning per year. What is the distribution and mean and std. deviation.

### Probability functions in EXCEL

Here are tables of the Standard Normal and Student's t distributions. The formulas for the first value in each P column are, respectively =NORMSDIST(A3) and =TDIST(C3,20,2), where column A is the one labeled "Z" and column C is labeled "t". I need some help in finding the meaning of the number given in the P column under NOR

### Calculating risk on investments

Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, portfolio managers give a questionnaire to new customers to measure their desire to take financial risks. The scores on the questionnaire are approximately normally distributed with a mean of 50.5 and

### Statistics in community - Normal distribution Example

I have been tasked with the following: Describe processes in your work, home or community environment for which inputs to, or results from, can be described by a normal distribution. Depict the normal curve.

### Probability Concepts & Discrete & Continuous Distributions

NB:Please use Excel(where possible--preferred) for this and could you send me a few notes with step by step break-down on how to make it easy to figure out next time? refer to the real estate excel data set at : http://highered.mcgraw-hill.com/sites/0073030228/student_view0/index.html (see Real Estate Attachment ) Qu

### Normal Distribution

"Why is the Normal Distribution so important to statistics?" Hint 1: Do many real world situations tend to be normally distributed? Hint 2: is the normal distribution used frequently in statistics texts? Hint 3: Is the normal distribution (or its special case, the standard normal distribution) effective in characteriz