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"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. Unfortunately, the treatment also reduces the strength of the fabric. The breaking strength of untreated fabric is normally distributed with mean 51.6 pounds and standard deviation 1.9 pounds. The same type of fabric after treatment has normally distributed breaking strength with mean 28.7 pounds and standard deviation 1.7 pounds. A clothing manufacturer tests 3 specimens of each fabric. All 6 strength measurements are independent.
(a) What is the probability that the mean breaking strength of the 3 untreated specimens exceeds 50 pounds? 1Your answer was incorrect, but has changed from what was graded.
(b) What is the probability that the mean breaking strength of the 3 untreated specimens is at least 25 pounds greater than the mean strength of the 3 treated specimens?
In healthy adults, x is approximately normally distributed with mean µ = 38 and standard deviation σ = 12. What is the probability that:
Gigi has rolled a natural on four straight tosses of the dice. This excites the gamblers standing around the table.
A consumer protection group is concerned that a ketchup manufacturer is filling its 20-ounce family-size containers with less than 20 ounces of ketchup.
Develop a regression model for predicting the difference in the asking price and selling price.
A driver hired at the beginning of a year can be used to meet the current year's requirements and is paid full salary for the current year. Determine how to minimize the bus company's salary, hiring, and firing costs over the next 5 years.
A researcher is studying IQ levels. From past experience she knows the population mean IQ for adults is 110 and the standard deviation is 15.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y?
A financial analyst estimates that the probability that the economy will experience a recession in the next 12 months is 20%. She also believes that if the economy enters a recession
A group of department store buyers viewed a new line of dresses and gave their opinions of them. The results are below: Because the largest number (47) indicated the new line is outstanding, the head designer thinks that this is a mandate to go in..
Using the internal rate of return as a decision criterion, determine whether or not this proposal should be accepted.
For the most recent year available the mean annual cost to attend a private university in the US was $26,889. Assume the distribution of annual costs follows a normal probability distribution and the standard deviation is $4,500. 95% of all studen..
Two sample z-test for the difference between two population proportions
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