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# Normal Distribution

### 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

### Test Scores and Normal Distribution

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?

### Probability Using Normal Distribution of SAT Scores

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

### 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 ?

### marketing expenditure budget of a small chocolate manufacturer

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

### 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.

### Indicate in some way the intervals that fail to include the (true) mean in columns H, I, K, L, N, and O

********************************************************************* Please indicate (or find) in some way the intervals that fail to include the (true) mena in columns H, I, K, L, N, O and E and F. ************************************************************************ I have created 95% confidence interval estimates of th

### 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 Problems on Earnings of Spouses

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 NORM

### Calculating Probability from Normal Distribution

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 a st

### 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

### Importance of normal distribution to Statistics

"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

### Elementary Statistics: 29 True/False questions & 4 questions

I have attached a Word document that contains 29 True/False questions and 4 questions where you need to figure out 'what is wrong.' TRUE or FALSE - all responses must be at least 25 words! 1. Class width = Upper limit of a class - Lower limit of the same class. 2. A class frequency may be equal to zero. 3. The data 9, 12

### Calculating Probabilities for Product Performance

#1 The average life of a light bulb is 500 hours. Find a) The probability that a bulb will last more than 1,000 hours b) The probability that a bulb will last less than 100 hours c) The median life d) The probability that a bulb will last exactly 500 hours e) The 95 Percentile (Note e^ (-3.0) is almost 0.05, so the 9

### Sampling Distribution of a Proportion

6.30 Given a population in which the proportion of items with a desired attribute is p=0.25, if a sample of 400 is taken: a. What is the standard deviation of the sampling distribution of _ P? b. What is the probability the propo

### Sample Size Calculations: Boxes the Processor Must Sample

A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the weight of the boxes, a few were checked. The mean weight was 20.4 pounds, the standard deviation 0.5 pounds. How many boxes must the processor sample to be 9

### Calculations for a Data Set

1) Calculate the range, variance, and standard deviation of this data set. 2) Determine whether or not the data is normally distributed. If the data isn't normally distributed. Develop a normally distributed curve. (Using Empirical Rule). See attached file for full problem description.