Question

Asked Oct 16, 2019

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Find z such that 8% of the standard normal curve lies to the right of z

Step 1

**Normal distribution:**

The Normal distribution has a bell shaped curve and it is a continuous distribution. The normally distributed random variable *x* has mean µ and standard deviation σ.

Also, the standard normal distribution represents a normal curve with mean 0 and standard deviation 1. Thus, the parameters involved in a normal distribution are mean µ and standard deviation σ.

Standardized *z*-score:

The standardized *z*-score represents the number of standard deviations the data point is away from the mean.

- If the
*z*-score takes positive value when it is above the mean (0). - If the
*z*-score takes negative value when it is below the mean (0).

Step 2

**Find z such that 8% of the standard normal curve lies to the right of z :**

From the given information level of significance=0.08.

The required confidence level from left tail normal table=1-0.08 =0.92.

Procedure for finding the *z*-value is listed below:

- From the table of standard normal distribution, locate the probability value of 0.92.
- Move left until the first column is reached. Note the value as 1.4
- Move upward unt...

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