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A shipment of thousands of pins contains some percentage of defectives. To decide whether to accept the shipment, the consumer follows a sampling plan where 80 items are chosen at random from the sample and tested. If the number of defectives in the sample is at most three, the shipment is accepted. (The number 3 is known as the acceptance number of the sampling plan.)
a. Assuming that the shipment includes 3% defectives, what is the probability that the shipment will be accepted? (Hint: Use the binomial distribution.)b. Assuming that the shipment includes 6% defectives, what is the probability that the shipment will be accepted?c. Using the Data|Table command, tabulate the probability of acceptance for defective percentage ranging from 0% to 15% in steps of 1%.d. Plot a line graph of the table created in (c). (This graph is known as the operating characteristic curve of the sampling plan.)
The store used ANOVA to test if the mean sales for each credit card were equal. What are the degrees of freedom for the F statistic?
The 99% confidence interval estimate for a population variance when a sample standard deviation of 12 is obtained from a sample of 10 items is:
Develop a 90% confidence interval for the true mean weight. What sample size would be necessary to estimate the true weight with an error of +/- 0.03 grams with 90% confidence?
Increasing confidence level will increase width of confidence interval. This is because the fact that increasing confidence interval will increase value of z(α/2), which will increase the size of standard error (z*s/√n).
In standardized form, the normal distribution a) Has a mean of 0 and a standard deviation of 1 b) Has a mean of 1 and a variance of 0 c) Has an area equal to 0.5 d) Cannot be used to approximate discrete probability distributions
Variance hour 100 and battery y: sample size 12,mean hour 1020,variance hour 121. can you conclude that two types of batteries are having the same mean life?
The weekly dollar demand and supply functions for tents, t, are given by the following respective formulas:
Study is conducted as to whether there is relationship between joggers and consumption of nutritional supplements.
There are 25 students in a probability class. Assume that there are 365 days in each year, and that the birthrate is constant throughout the year.
The national average for the price of a gallon of unleaded regular gas is $1.16. I believe the price is higher in my area of the country. I want to test my claim by randomly selecting gas prices for 25 stations in my area. The following prices are..
The equation for the line of best fit is given as Y = 1.8x + 28.7, and the Pearson correlation coefficient was 0.61. Was the correlation coefficient significantly different from zero? Use α = 0.05.
If Procter & gamble sells about 20 million bars of soap per week, but the demand is not constant, and production management would like to get a better handle on how sales are distributed over the year. What might be helpful to the production and (..
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