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Normal Distribution

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

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

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 σ , 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?

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 ?

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 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

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 : (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

Statistics Discussion Questions

What is the difference between Paramaeter & Statistics What is the concept of operationalize???? What are focus groups What is the meaning of lodging double variable, validity & liability Explain Normal Distribution What is mean, median mode What is range & dispersion What the independent & dependent variable Explain e