Math 23 Practice Test 3 (1) The diameters of oranges from a Florida orchard are normally distributed 3.2 inches and standard deviation o = 1.1 inches. with mean = (a) What is the probability that a randomly selected orange is more than 3.5 inches? (b) What is the probability that a randomly selected orange is between 3 and 3.5 inches? (c) A gift box contains 9 oranges. What is the probability that the mean diameter for this sample is smaller than 3,5 inches?

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Math 23 Practice Test 3
(1) The diameters of oranges from a Florida orchard are normally distributed
= 3.2 inches and standard deviation o= 1.1 inches.
with mean
(a) What is the probability that a randomly selected orange is more than
3.5 inches?
(b) What is the probability that a randomly selected orange is between 3
and 3.5 inches?
(c) A gift box contains 9 oranges. What is the probability that the mean
diameter for this sample is smaller than 3.5 inches?
(2) Let a denote the amount spent at a grocery store. Assume x is normally
distributed with standard deviation a $11.46. Ten customers' bills
were recorded, there average bill was $89.38. Find
a) The margin of error.
b) A 95% confidence interval for the population mean.
Transcribed Image Text:Math 23 Practice Test 3 (1) The diameters of oranges from a Florida orchard are normally distributed = 3.2 inches and standard deviation o= 1.1 inches. with mean (a) What is the probability that a randomly selected orange is more than 3.5 inches? (b) What is the probability that a randomly selected orange is between 3 and 3.5 inches? (c) A gift box contains 9 oranges. What is the probability that the mean diameter for this sample is smaller than 3.5 inches? (2) Let a denote the amount spent at a grocery store. Assume x is normally distributed with standard deviation a $11.46. Ten customers' bills were recorded, there average bill was $89.38. Find a) The margin of error. b) A 95% confidence interval for the population mean.
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