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MAS291 - Lý Ánh Dương
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The sugar content of the syrup in canned peaches is
normally distributed. A random sample of n = 10 cans yields
a sample standard deviation of s = 4.8 milligrams.
Calculate a
95% two-sided confidence interval for σ. Let X20.025,9 = 19.02; X20.975,9 = 2.70Among employees of a certain firm, 70% know Python, 60% know Java, and 50% know both languages. If someone knows Java, what is the probability that he/she knows Python too?
The fraction of defective integrated circuits produced
in a photolithography process is being studied. A random sample
of 300 circuits is tested, revealing 13 defectives.
Calculate a 95% upper confidence boundon the fraction of
defective circuits.
Let z0.025 = 1.96; z0.05 = 1.65.A researcher believes that a greater proportion of construction companies in the northeast are using certified lumber in home construction projects compared to companies in the southeast.She collected a random sample of 175 companies in the southeast and found that 76 used at least 30% certified lumber. She collected another random sample of 116 companies from the northeast and found that 67 used at least 30% certified lumber. Test the researcher’s claim that a greater proportion of companies in the northeast use at least 30% certified lumber compared to the southeast using α = 0.05. Round to three decimal places.
Let z0.05 = 1.645, z0.1 = 1.28, z0.025 = 1.96.
The speed of a file transfer from a server on campus to a
personal computer at a student’s home on a weekday evening is
normally distributedwith a mean of 60 kilobits per second and
a standard deviation of four kilobits per second.
What is the probability that the file will transfer at a speed
of 70 kilobits per second or more?