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Please provide an answer to the questions below, if possible using Excel and show your formulas.
A salesperson goes door-to-door in a residential area to demonstrate the use of a new household appliance to potential customers. She has found from her years of experience that after demonstration, the probability of purchase (long run average) is 0.30. To perform satisfactory on the job, the salesperson needs at least four orders this week.
If she performs 15 demonstrations this week, what is the probability of her being satisfactory?
What is the probability of between 4 and 8 (inclusive) orders?
If the salesperson wants to be at least 90 percent confident of getting satisfactory evaluation in her job this week, how many demonstrations should she perform?
How would your answers to above questions change if the probability of success increases (say by training) to 0.35?
The U.S.Census Bureau announced that the median sales price of new homes sold i April 2009 was $221,660, and the mean sales price waas $274,300. Assume that the standard deviation of the prices is $90,000.
For this same sample of n = 45, find out the width of confidence interval around population mean? Illustrate all work.
How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?
When the p-value is used for hypothesis testing, the null hypothesis is rejected if
Find the indicated probability using the geometric or Poisson distribution. A newspaper finds that the mean number of typographical errors per page is nine. Find the probability that?
A normal distribution has a mean of µ = 100 with σ = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 120?
At the .05 significance level, is the number of units produced on the afternoon shift larger?
A developmental psychologist is studying memory development in children. He is interested in determining the exact age at which children began to recall long-term episodic memories.
Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.
Thirty-two samples of 8 items each were collected from a process. The average sample mean is 12 and the average range is 0.10. The upper and lower control limits, respectively, for an:
A study was designed to compare variability of male and female diastolic blood pressure. The null hypothesis was that the population standard deviation were equal versus the alternative that they were not equal.
A local consultant randomly selects a sample of 36 meals whose mean price is determined to be $8.75. Assuming that σ = $0.75, calculate a 95% confidence interval for the population mean price.
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