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The average annual precipitation for a large midwest city is 30.85 inches with a standard deviation...
MATH 23 - TST Please show your work. No points can't read. Write clear final answer for each p ork. No points will be given for answers without explanation nor for work clear final answer for each problem (in words or using symbols ) The depth of annual snow fall in a mountain community is normally distributed with is chosen at random. mean μ .: 180 inches and standard deviation σ 30 inches. A year 50 the probability that the...
4-19 A new serum is claimed to be 80% efective in preveating the commou cold. A random sample of 11 people are injected with the serum. The serum is considered suiccessful if someone who has taken it survives the winter without & cold. a) Find the probability that more than 8 people injected will survive the winter without a cold. b) If 100 people are injected, find the expected number ( nean) of people in this sample who will survive...
3. The long-term average October precipitation in Syracuse is 3.36 inches, with a standard deviation of 1.48 inches. Assuming a normal distribution, what is the probability that less than 1.0 inches of precipitation will occur in any October? What is the probability that more than 5.0 inches will occur? 4. (15 Points) A chemical industry discharges a waste contaminated with trichloroethylene (TCE) to the city sewer system. By law, the concentration of TCE must be 0.1 ug/L or less. To...
The mean salary of people living in a certain city is $37500 with a standard deviation of $1589. A sample of 46 people is selected at random from those living in the city. Find the probability that the mean income of the sample is less than $38000.
3) The average population height for 15 year-old girls is 63.80 inches with a standard deviation of 2.66 inches. Denise, a 15-year-old girl, is in the 30th percentile for height, how tall is she? (Hint: You will need to convert your z-score to a raw score, see 5/7 lecture slides) 4) You rando the student population of this school is 127 with a standard deviation of 8. mly sample a class of 32 students with a mean IQ of 134...
3. The heights of all adults in a large city have an approximately normal distribution with a mean of 68 inches and a standard deviation of 4 inches. a) Find the probability that a randomly chosen height is less than 66 inches. b) Write the sampling distribution of sample mean for any sample size. Find the probability that the mean height of a random sample of 100 adults would be between 67.5 inches and 69 inches.
The distribution of piston diameters is normally distributed with mean μ inches and standard deviation 5 inches. Engineer Dan takes a sample of 25 pistons from the manufacturing assembly line. Let X1, X2, ..., X25 denote these observations which are iid (independently & identically distributed). a.) What is the probability that X-bar, the sample mean of Dan's 25 observations, is within 1 inch of the population mean μ? b.) Suppose engineer Jane decides to take a sample of 30 observations....
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,041. A sample of 63 people is selected at random from those living in the city. Find the probability that the mean income of the sample is within $500 of the population mean. Round your answer to 4 decimal places.
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches. (a) Find the percentage of 18 year old men with height between 67 and 69 inches. (b) Find the percentage of 18 year old men taller than 6 foot. (c) if a random sample of nine 18 year old men is selected, what is the probability that their mean height is between 68 and 72 inches? (d) if a random sample...
The diameter of Ping-Pong balls manufactured at a large factory is expected to be approximately normally distributed with a mean of 1.30 inches and a standard deviation of 0.04 inches. What is the probability that a randomly selected Ping-Pong ball will have a diameter of: a. Between 1.28 and 1.30 inches? b. Between 1.31 and 1.33 inches? c. Between what two values will 60% of the Ping-Pong balls fall (in terms of the diameter)? If random samples of 16 Ping-Pong...