Question

In a normal distribution with mean 15 and s.D 3.5, it is found that 647 observations exceed 16.25. What is the total number of observations in the population.

Answer 1

38 observations are there ......

Hope it helps u......

Answer 2

The total number of observations in the population is 2650.

To solve this problem, you can use the standard normal distribution table to find the proportion of observations that exceed a certain value, and then use that proportion to calculate the total number of observations in the population.

First, you need to convert the value of 16.25 to a standard normal score (z-score) by using the formula:

z = (x - mean) / s.d

where x is the value of interest (16.25), mean is the mean of the distribution (15), and s.d is the standard deviation of the distribution (3.5)

so the z-score for the value 16.25 is:

z = (16.25 - 15) / 3.5 = 0.714

Now, you can use the standard normal distribution table to find the proportion of observations that exceed 0.714, which is approximately 0.2435.

To find the total number of observations in the population, you can use the proportion that exceed 16.25 and the number of observations that exceed 16.25.

total number of observations = (number of observations that exceed 16.25) / proportion that exceed 16.25

so the total number of observations = 647 / 0.2435 = 2650

Therefore, the total number of observations in the population is 2650.

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