Find the critical value z a/2 that corresponds to a 93% confidence level

Question

Rivka Thorpe · Accepted Answer

Step 1 C.I=93% α=1−0.93=0.07 α2=0.035 Step 2 We need to find z such that P(Z&amp;gt;z)=0.035 ⇒P(Z&amp;lt;z)=1−0.035=0.965 ⇒z=1.81

karton · Accepted Answer

To find the critical value za2 that corresponds to a 93% confidence level, we can use the standard normal distribution table or a calculator.Since we want to find the value that corresponds to the upper tail probability, we need to find the area to the left of the critical value. The remaining area in the right tail will be 100%−93%2=3.5% on each side.Using the standard normal distribution table or a calculator, we find that the area to the left of the critical value za2 is 1−0.035=0.965.Therefore, we can write the equation as:P(Z&amp;lt;za2)=0.965In order to find the critical value za2, we need to look up the value that corresponds to the area of 0.965 in the standard normal distribution table.The critical value za2 that corresponds to a 93% confidence level is approximately 1.81.Thus, the solution is za2=1.81.

user_27qwe · Accepted Answer

To solve for the critical value za2 corresponding to a 93% confidence level is by using the inverse cumulative distribution function (CDF) of the standard normal distribution.The inverse CDF gives us the value for which the cumulative probability is equal to a given value. In this case, we want to find the value za2 such that the cumulative probability up to za2 is equal to 0.93.Using the standard normal distribution, we can express this as:P(Z&amp;lt;za2)=0.93To solve for za2, we can use a calculator or software that provides the inverse CDF of the standard normal distribution. Plugging in the probability value of 0.93, we find that:za2≈1.81Hence, the solution remains za2=1.81 using this alternate method.

RizerMix · Accepted Answer

A 93% confidence level implies that we have a 7% significance level on each tail of the distribution (since

100 % - 93 % = 7 %

). To find the critical value, we need to determine the point on the standard normal distribution that separates the central region containing 93% of the area from the two tails containing 7% of the area.
Since the standard normal distribution is symmetric, we need to find the point where 3.5% of the area lies in each tail. This is equivalent to finding the point where 0.035 (3.5%) of the area lies in the right tail.
Using a standard normal distribution table or calculator, we can determine the value for which the cumulative probability in the right tail is 0.035.
The critical value

z_{\frac{a}{2}}

is approximately 1.81.
Therefore, the solution is

z_{\frac{a}{2}} = 1.81

.

Don Sumner · Accepted Answer

Answer: 1.81Explanation:To determine the critical value za2 that corresponds to a 93% confidence level, we can use the standard normal distribution.The critical value represents the number of standard deviations from the mean, such that the area under the normal curve to the right of that value is equal to a2.For a 93% confidence level, the significance level (α) is equal to 1−0.93=0.07. Since the normal distribution is symmetric, we divide α by 2 to get a2=0.072=0.035.We can then use a standard normal distribution table or a calculator to find the value of z0.035. The critical value is the z-score such that the area to the left of it is equal to 0.035.Using a standard normal distribution table or a calculator, we find that z0.035≈1.811 (rounded to three decimal places).Therefore, the critical value za2 that corresponds to a 93% confidence level is approximately 1.81.

Find the critical value z a/2 that corresponds to a 93\% confidence level

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