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posledela
3 years ago
10

Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414. (b)

Find the number z such that 65.91% of all observations from a standard Normal distribution are greater than z. (a)
Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.

Step-by-step explanation:

Consider the provided information.

Part (a)

In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.

Now, observing the table it can be concluded that the value of Z is 0.10396.

Part (b)

Consider the number 65.91%

The above number can be written as 0.6591.

Now, find 0.6591 in the table and search for the appropriate Z-value.

By, observing the table it can be concluded that the value of Z is 0.410008.

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