2 Applications of the Normal Distribution part 2 Calculate the Mean and Standard Deviation of a...

Question

Question

math Statistics-And-Probability

Answer 1

Answer #1

Given :

Mean = $\mu$ = 77

Std. deviation = $\sigma$ = 8

Emma's score => 1 Standard deviation above the mean

=> $\mu$ + 1* $\sigma$

= 77 + 8

= 85

Answer 2

Similar Homework Help Questions

1.6 Question 42 The mean of a normal distribution is 60 with a standard deviation of...

1.6 Question 42 The mean of a normal distribution is 60 with a standard deviation of 5. What is the probability of selecting a score between raw scores of 55 and 68? p- Example Answer Format: 5.52 (remember to use zero as a placeholder when necessary) Question 43 The mean of a normal distribution is 60 with a standard deviation of 5.
The scores of an eighth-grade math test have a normal distribution with a mean = 83 and...

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?
27. On a standardized test with a normal distribution, the mean was 64.3 and the standard...

27. On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. What is the best approximation of the percent of scores that fell between 61.6 and 75.1? 28. The mean of a normally distributed set of data is 52 and the standard deviation is 4. Approximately 95% of all the cases will lie between which measures? 29. Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and...

Find the indicated score. The graph depicts the standard normal distribution with mean and standard deviation...

Find the indicated score. The graph depicts the standard normal distribution with mean and standard deviation 1 Click to view page 1o the table Click to view page of the The indicated z score is Round to two decimal places as needed Find the area of the shaded region. The graph to the right depicts I scores of adults and those scores we normally distributed with a mean of 100 and a standard deviation of 15 Click to view.age 1...
Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the...

Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the following. a) P (z>0.5) b) P(z 1.5) c) P (-0.49 < z1.5) Question 4: If you have a normal distribution with mean 14 and standard deviation of 2. What is P(x >16)? Question 5 Professor Hardy assumes the exam scores are normally distributed and wants to grade "on a curve." The mean score was 68, with a standard deviation of 9, If he wants...
A distribution of values is normal with a mean of 248.5 and a standard deviation of...

A distribution of values is normal with a mean of 248.5 and a standard deviation of 89. Find P28, which is the score separating the bottom 28% from the top 72%. Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

1. A normal distribution has a mean of μ = 60 and a standard deviation of...

1. A normal distribution has a mean of μ = 60 and a standard deviation of σ = 12. For each of the following samples, compute the z-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size. a. M = 53 for n = 4 scores σ/ √n= 12/√4 =6 z=(53-60)/6 = -1.17 b. M = 53 for n = 9 scores σ/ √n=...
A distribution of values is normal with a mean of 232.7 and a standard deviation of...

A distribution of values is normal with a mean of 232.7 and a standard deviation of 54.3. Find P1, which is the score separating the bottom 1% from the top 99%. P1 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
A distribution of values is normal with a mean of 47.1 and a standard deviation of...

A distribution of values is normal with a mean of 47.1 and a standard deviation of 24.2. Find P53, which is the score separating the bottom 53% from the top 47%. P53 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A distribution of values is normal with a mean of 157.8 and a standard deviation of...

A distribution of values is normal with a mean of 157.8 and a standard deviation of 21.7. Find P11, which is the score separating the bottom 11% from the top 89%. P11 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.