Questions from Engineering Statistics

Q: The reaction times for a random sample of 9 subjects to a

The reaction times for a random sample of 9 subjects to a stimulant were recorded as 2.5, 3.6, 3.1, 4.3, 2.9. 2.3, 2.6, 4.1, and 3.4 seconds. Calculate (a) the mean; (b) the median.

Q: The mean score for freshmen on an aptitude test at a certain

The mean score for freshmen on an aptitude test at a certain college is 540, with a standard deviation of 50. Assume the means to be measured to any degree of accuracy. What is the probability that tw...

Q: Consider Case Study 8.2 on page 238. Suppose 18

Consider Case Study 8.2 on page 238. Suppose 18 specimens were used for each type of paint in an experiment and ¯xA− ¯xB, the actual difference in mean drying time, turned out to be 1.0. (a) Does this...

Q: Two different box-filling machines are used to fill cereal boxes

Two different box-filling machines are used to fill cereal boxes on an assembly line. The critical measurement influenced by these machines is the weight of the product in the boxes. Engineers are qui...

Q: The chemical benzene is highly toxic to humans. However, it

The chemical benzene is highly toxic to humans. However, it is used in the manufacture of many medicine dyes, leather, and coverings. Government regulations dictate that for any production process inv...

Q: Two alloys A and B are being used to manufacture a certain

Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two in terms of maximum load capacity in tons (the maximum weight that can b...

Q: Consider the situation described in Example 8.4 on page 234

Consider the situation described in Example 8.4 on page 234. Do these results prompt you to question the premise that μ = 800 hours? Give a probabilistic result that indicates how rare an event ¯X ≤ 7...

Q: Let X1, X2, . . . , Xn be a

Let X1, X2, . . . , Xn be a random sample from a distribution that can take on only positive values. Use the Central Limit Theorem to produce an argument that if n is sufficiently large, then Y = X1X...

Q: For a chi-squared distribution, find (a)

For a chi-squared distribution, find (a) χ20.025 when v = 15; (b) χ20.01 when v = 7; (c) χ20.05 when v = 24.

Q: For a chi-squared distribution, find (a)

For a chi-squared distribution, find (a) χ20.005 when v = 5; (b) χ20.05 when v = 19; (c) χ20.01 when v = 12.