STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A classroom has 30 students. The mean height of students in this classroom is 63 in. with a standard deviation of 4.6 in. Assume these heights approximate a normal distribution.If ten students are selected at random from this classroom, what is the probability that the mean height of the selected students will be less than 62 in.?
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0.2033
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0.2451
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0.1170
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0.2420
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Explanation:
Detailed explanation-1: -Probabilities for a normal random variable X equal the area under the corresponding normal distribution curve. The probability that the value for X falls in between the values x=a and x=b is the area under the normal distribution curve to the right of x=a and to the left of x=b .
Detailed explanation-2: -Answer and Explanation: If we are given the percentile value and the percentile itself, we need to look up the corresponding Z value in a Z table. Let X denote the value at the relevant percentile, is the mean and is the standard deviation. The formula to find our X is given by: X=+Z X = + Z .
There is 1 question to complete.