In the Z-score formula, can the standard error measurement be used instead of standard deviation?

ghulamu51
2022-09-23
Answered

In the Z-score formula, can the standard error measurement be used instead of standard deviation?

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Kate Martinez

Answered 2022-09-24
Author has **7** answers

The single input for the z-score formula is standard deviation.

If standard error is used in its place, the result is converted to a t-score, and the t-table should be consulted rather than the z-table.

asked 2022-07-10

I want to ask about standard normal distribution. What is the highest and lowest value of $z$ score can be?

From the table of standard normal, the value z score is only for -3.99 $\le $ $z$ $\le $ 3.99.

Can it be higher than the range? Is there any programme or formula to compute the probability of standard normal distribution for the range outside -3.99 $\le $ $z$ $\le $ 3.99?

From the table of standard normal, the value z score is only for -3.99 $\le $ $z$ $\le $ 3.99.

Can it be higher than the range? Is there any programme or formula to compute the probability of standard normal distribution for the range outside -3.99 $\le $ $z$ $\le $ 3.99?

asked 2022-08-13

What is the z-score of X, if n = 72, $\mu =137$, SD =25, and X =13?

asked 2022-05-27

From a given z-score, what is the formula for calculating the probability of the deviation being due to chance?

e.g.

Given z = 1.2 standard deviations

The chance probability p = 0.11507

How did we derive p? (i.e. the formula, without having to refer to the normal distribution table)

e.g.

Given z = 1.2 standard deviations

The chance probability p = 0.11507

How did we derive p? (i.e. the formula, without having to refer to the normal distribution table)

asked 2022-08-12

What is the z-score of sample X, if $$

asked 2022-07-18

You are interested in finding how many hours a person is willing to wait for a plane. It is found that the time people are willing to wait has a $\mu =5.2$ and a $\sigma =1.1$. What is the probability a person is willing to wait more than seven hours?

Using the standard score formula, $z=(x-\mu )/\sigma $, the z-score equals to two decimal places 1.64, which corresponds to a probability of 0.9495 on my z-score tables. However, on the answer key provided, it states the probability is 0.0505 or what would correspond to a z-score of −1.64.

Is this a trick of the wording involved in the question or are my z-tables (or standard score formula) wrong?

Using the standard score formula, $z=(x-\mu )/\sigma $, the z-score equals to two decimal places 1.64, which corresponds to a probability of 0.9495 on my z-score tables. However, on the answer key provided, it states the probability is 0.0505 or what would correspond to a z-score of −1.64.

Is this a trick of the wording involved in the question or are my z-tables (or standard score formula) wrong?

asked 2022-08-16

In a past exam of my stats class, the question requires finding the value of a normal CDF corresponding to a Z score of 3 DP. However, we are only given a table that is accurate to 2 DP. We are not allowed to use calculator. What should I do to find the value when the Z score is 1.293, not just 1.29.

asked 2022-10-30

What is the z-score of sample X, if $n=54,\text{}\mu =12,\text{}\text{St.Dev}=30,\text{}{\mu}_{X}=11$?