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# Hypothesis Testing

### Null, Alternative Hypotheses & Critical region

The production line that packages boxes of raisins at a snack food manufacturer will be conisdered operating properly if the average weight of the boxes of raisin is 3.5 ounces with a standard deviation of 0.3 ounces. A random sample of 20 boxes showed an average weight of 3.30 ounces. Answer questions 4 and 5 based upon this i

### Statistics: Future return probability; hypothesis test, null and alternative, assertion Given a volatility of 22.80% and an average of 17.70% what is the probability that a future return will fall below-100% Us the standard table to calculate the answer. As the general manager of operations for a software company you are concerned about the responsiveness of your technical support desk. Industry studies have shown that the average response time ® needs to be under 3 minutes to avoid customer dissatisfaction. You decide to conduct and hypothesis test and state you null and alternative hypothesis as follow. H0:r> 3 minutes Ha:r< 3 minutes What kind of hypothesis test are you conducting? A. A left tail test B. A right tail test C. Two tail test D. None of the above Question 9 The placement office of a leading business school claims that more than 85% of its students obtain full time employment within three months of graduation. In conducting a hypothesis test of this assertion, how much would the school state its null alternative hypotheses?

Question 6 Given a volatility of 22.80% and an average of 17.70% what is the probability that a future return will fall below-100% Us the standard table to calculate the answer. Round only the final answers. Intermediate answers should not be rounded. Question 7 An Ice-cream maker has developed a new flavour of chocolate

### Nondirectional Test

For independent samples of customers of Internet providers A and B, the ages are as listed in file XR11073. Using the 0.05 level of significance in a nondirec- tional test, examine whether the variation in ages could be the same for customers of the two providers. Prov

### Hypothesis Testing: Comparison of Standard Deviations

11.70. According to the National Association of Homebuilders, the average life expectancies of a dishwasher and a garbage disposal are about the same: 10 years. Assume that their finding was based on a sample of n1 = 60 dishwashers and n2 = 40 garbage disposals, and that the corresponding sample standard deviations were s1 = 30

### Interpret the P-Value using a One-Tail Test for SAT Scores

A study has been conducted to examine the effectiveness of new experimental program for preparing high school students for the Scholastic Aptitude Test. Eighty students have been randomly divided into two groups of 40. The eventual SAT scores for those exposed to the new program and the conventional program are listed in data fi

### Statistics: P-Value Designing A New Computer Product and expected price

SEE ATTACHED FILE (11.28) When companies are designing a new product, one of the steps typically taken is to see how potential buyers react to a picture or prototype of the proposed product. The product-development team for a notebook computer company has shown picture A to a large sample of potential buyers and picture B

### Statistics: AIU Job Satisfaction Studies. Perform a two-tailed hypothesis test

Using AIU's survey responses from the AIU data set,complete the following requirements in the form of a report: 1. Perform a two-tailed hypothesis test on both the intrinsic and the extrinsic variable's data, using a .05 significance level. 2. Begin by creating a null and an alternate statement. 3. Use Microsoft Excel

### Screening for rare disease (sensitivity and specificity of 99%)

You are examined by an excellent screening test (sensitivity and specificity of 99%) for a rare disease (0.1% or 1/100 of the population). Unfortunately, the test is positive. What is the probability that you have the disease.

### Statistics: Do students at various universities differ in how sociable they are?

Do students at various universities differ in how sociable they are? Twenty-five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spent socializing each day with other students. The result for University X was a mean of 5 hours and an estima

### Statistics: Will listening to music better activate the brain while solving math problems

A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal change of 58. From many previous studie

### Questions about Hypothesis Testing of Mean & Proportion

Please provide explanations in detailed and attach all work on a words doc for explanations. Do all work on excel. 1. You are the manager of a restaurant that delivers pizza to college dormitory rooms. You have just changed your delivery in an effort to reduce the mean time between the order and completion of delivery from t

### Mathematica and Space Pirates Question

Being space pirates, you naturally have stolen the newly developed and very revolutionary 1.21 GW flux capacitor, designed by scientists on the planet Docbrown. Taking off in your spaceship, you realize that your crime did not go undetected, and the fuzz are after you. Please see the attached pdf document for complete questi

### Using Statistical Techniques to teach computers to workers on an assembly line

A group of workers on a manufacturing assembly line type information into a computer. They take a training class on how to use a computer, especially as related to data entry. You want to understand if the computer training was effective. How would you go about this, using statistical techniques? Explain fully. NOTE: Please u

### Fisher's Exact Test - occurrence of Sudden Infact Death Syndrome

See attached file. How was this example solved using Fisher's Exact Test. Please do this example without skipping steps (as this text has done) and offer an explanation to the method

### Hypothesis Testing of Mean Standard Deviation

See attached file - Hypothesis Test for Population Mean Hypothesis Test for Population Mean, &#963; Known Carry out a hypothesis test for the population mean when the population standard deviation is known. Z-Test: Mean hours Mean Standard Deviation

### Number of boys in families of eight children in Germany

See attached file. Please give a complete solution with calculations and explanations.

### Statistics 9.23, 9.27, 9.31, 9.45 Test of Hypothesis for the Mean (Known and Unknown)

See attached file. Please provide explanations in detail, and attach all work. Test of Hypothesis for the Mean (Known and Unknown) 9.23) A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to

### Hypothesis Testing of Mean: Number of Patients per Day

The post anesthesia care area (recovery room) at St. Luke's Hospital in Maumee, Ohio was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days revealed the following numbers of patients. 25 27 25 26 25 28 28 27 24 26

### Conducting a One Tail or Two Tail Hypothesis Test

You own a Pepsi bottling plant, and you are concerned about filling the bottles to the correct level. Should you conduct a one-tailed or two-tailed hypothesis test? Explain. NOTE: Please use an Excel spreadsheet for response. Please do not just provide the answers but show in complete detail how you arrived at the answer, ste

### 10.74 IRS audits: P-Value - 0.10 Level of Significance

It has been reported that 80% of taxpayers who are audited by the Internal Reve- nue Service end up paying more money in taxes. Assume that auditors are random- ly assigned to cases, and that one of the ways the IRS oversees its auditors is to monitor the percentage of cases that result in the taxpa

### 10.57 Insurance Information Institute: P-Value - Automobile Insurance

SEE ATTACHED FILE - p-Value - Automobile Insurance (10.57) According to the Insurance Information Institute, the mean annual expenditure for automobile insurance for U. S. motorists is \$706. Suppose that a government official in North Carolina has surveyed a saimple random sample of 80 residents of

### Hypothesis Testing of Mean: Daily coffee consumption

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that a sample of 38 people from a North Carolina city consumed a mean of 1.84 cups of coffee per day, with a standard deviation of 0.85 cups. In a two-tail test at the 0.05 level, could the residents of thi

### Remodeling Magazine: P-Value Population, Standard Deviation

SEE ATTACHED FILE - p-Value Population Standard Deviation (10.33) According to Remodeling magazine, the average cost to convert an existing room into a home office with custom cabinery and rewiring for electronic equipment is \$5976. Assuming a population standard deviation of \$1000 and the sample of home office conversion

### P-Value Approach to Hypothesis Testing

SEE ATTACHED FILE - p-Value Approach to Hypothesis Testing (10.28) For a sample of 12 items from a normally distributed population for which the standard deviation is &#963; = 17.0, the sample mean is 230.8. At the 0.05 level of significance, test Ho: µ &#8804; 220 versus H1:µ > 220. Determine and interpret the p-value f

### Null and Alternative Hypotheses - Car Thefts

Please help with the following problem. A state representative is reported as saying that about 10% of reported auto thefts involve owners whose cars have not really been stolen, but who are trying to defraud their insurance company. What null and alternative hypotheses would be appropriate in evaluating the statement made b

### Problems with Null and Alternative Hypotheses

Many law enforcement agencies use voice-stress analysis to help determine whether persons under interrogation are lying. If the sound frequency of a person's voice changes when asked a question, the presumption is that the person is being untruthful. For this situation, state the null and alternative hypotheses in verbal terms,

### Statistics: Calculate p value and interpret; 95% confidence interval; mean, range

PROBLEM 1 NBC TV news, in a segment on the price of gasoline, reported last evening that the mean price nationwide is \$1.50 per gallon for self-serve regular unleaded. A random sample of 35 stations in the Milwaukee, WI, area revealed that the mean price was \$1.52 per gallon and that the standard deviation was \$0.05 per gall

### Whether a problem is a one sided test or a two sided test

Could you explain when and why one would use a one sided test vs a two sided test; I am confused about what "drives" the selection of one type over the other?

### Econometrics Problem

Table 3-6 gives data on X (net profits after tax in U.S. manufacturing industries [\$, in millions]) and Y (cash dividend paid quarterly in manufacturing industries [\$, in millions]) for years 1974 to 1986. a. What relationship, if any, do you expect between cash dividend and after-tax profits? b. Plot the scattergram between

### Statistics: One or two-tailed test, paired sample, ANOVA

See attached file. 25. The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected at random, and their weekly incomes before and after the plan were recorde