the percent of the area under the curve of the standard normal distribution in t
ID: 3319194 • Letter: T
Question
the percent of the area under the curve of the standard normal distribution in the range ± 2
68%
95%
3. 4%
99%
Use the normal distribution to approximate the desired probability. Find the probability that in 200 pitches of a die, we will get at least 40 fives.
0.0871
0.121
0
0.2229
0.3871
Find the critical value 2 (for the left tail), in a two-tailed test, corresponding to a sample size of 24 and a confidence level of 95%.
35,172
13,091
11,689
None of the above
Suppose that X has a normal distribution. Find the indicated probability. The mean is 15.2 and the standard deviation is 0.9. Find the probability that X is greater than 17.
0.9713
0.9821
0.0228
0.9772
Estimate the indicated probability by using the normal distribution as an approximation of the binomial distribution. A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all the answers are random guesses, calculate the probability of obtaining at least 20% of correct answers.
0.0901
0.8508
0.3508
0.1492
Assume that a sample is used to estimate a mu population mean. Use the confidence level and sample data to find the margin of error. Assume that the sample is a simple random sample and the population has a normal distribution. Round your answer to one decimal more than the standard deviation of the sample. 95% confidence, n = 21; sigma = 0.16
0.085
0.068
0.063
0.073
Explanation / Answer
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the percent of the area under the curve of the standard normal distribution in the range ± 2
Ans: Remember this:
In statistics, the 68–95–99.7 rule is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations.
So, 68%
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