Question

Why is it correct to say "a" normal distribution and "the" standard normal distribution? You know...

Why is it correct to say "a" normal distribution and "the" standard normal distribution? You know that one can be changed into the other by the process of standardization. How is this done? Why is this done? Hint: How do you compare apples and oranges?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

A NORMAL DISTRIBUTION : a function that represents the distribution of many random variables as a symmetrical bell-shaped graph.

It has different value of mean and variance of function defined.

The STANDARD NORMAL DISTRIBUTION: The specific normal distribution having mean equals to zero and variance =1.

A normal distribution curve is changed into standard normal distribution by defining Z.

Z = (X - μ)/σ

For the standard Normal distribution corresponding areas for different Z values are already calculated and there is no need for extra unnecessary calculation. it makes calculation process easier.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Discuss how the standard normal distribution, Z, lets you compare apples to oranges.
Discuss how the standard normal distribution, Z, lets you compare apples to oranges.
The weight of a typical orange follows an approximately normal distribution with the mean 4.5oz and...
The weight of a typical orange follows an approximately normal distribution with the mean 4.5oz and and a standard deviation of 1/2oz. Jodie likes oranges better than apples. Her orange juice machine can only use oranges that fall within the middle 95% of weights. what orange weights can Jodie's machine handle?
Open the Excel program Suppose we want to know the standard normal distribution up to the...
Open the Excel program Suppose we want to know the standard normal distribution up to the given value. That is P(Z < a). Lets use Excel instead of the standard normal distribution table In cell A1 type mean. In cell B1 type 0. That means that we are letting mean be zero. click on cell A2 and type SD. In cell B2 type 1. That means that we are letting standard deviation be one. That is, the normal distribution is...
Why is a normal distribution converted to a standard normal distribution?
Why is a normal distribution converted to a standard normal distribution?
1) Which of the following statements is correct about the standard normal distribution and t distribution?...
1) Which of the following statements is correct about the standard normal distribution and t distribution? a) standard normal distribution is used to eliminate population mean, while t distribution is used to estimate population standard deviation b) t distribution is always centered at 0, while the center of a standard normal destruction depends on the sample mean c) none of the 3 answer choices d) standard normal distribution curve is higher than t distribution curve at the tails 2) If...
For Central Limite Theorem, if n>30, we say the sampling distribution is normal. However, most of...
For Central Limite Theorem, if n>30, we say the sampling distribution is normal. However, most of the time, with population standard deviation unknown, we still have to use t value to compute a confidence interval. But I wonder for normal distribution(z distribution), even though we do not know population sd, why cannot we use z value directly to compute confidence interval, as it has stated in central limit theorem that the distribution is normal.
np, nq formula A) Explain when you can use normal distribution to approximate the binomial distribution...
np, nq formula A) Explain when you can use normal distribution to approximate the binomial distribution B) If we already know the binomial probability distribution formula, why do we need to know this one? C)When is it useful to approximate the binomial distribution as normal. Provide 1 example
1. True or False. 1a. z-scores follow a standard normal distribution. 1b. A z-score indicates how...
1. True or False. 1a. z-scores follow a standard normal distribution. 1b. A z-score indicates how many standard deviations a value is 1b. above or below the mean. 1c. Point estimators are always good estimates of population parameters, and there are never any deviations or errors 1d. The process of converting a value x from a normal distribution to a z-score is known as standardization
What is a t-distribution? Compare the t-distribution and the standard normal distribution. When do you use...
What is a t-distribution? Compare the t-distribution and the standard normal distribution. When do you use the t-distribution? The height of US women is normally distributed. A sample of 25 women shows an average hight of 160cm with a standard deviation of 5cm. Use t distribution to find the probability that the average height of randomly selected 25 women is greater than 172cm.
We know that the standard deviation of a sampling distribution is smaller than that of its...
We know that the standard deviation of a sampling distribution is smaller than that of its parent population. Explain in the space below whythis occurs (do not say it is because the standard deviation is divided by the square root of the sample size – I’m not asking for the formula, but why this formula works).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT