# statistics

What is the standard deviation of a normal distribution, whose mean is 35, in which an x-value of 23 has a z-score of -1.63?

1. 👍 0
2. 👎 0
3. 👁 615
1. Use z-score formula and solve for standard deviation:

z = (x - mean)/sd

-1.63 = (23 - 35)/sd

Solve for sd.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### statistics

Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to

2. ### stat

Which of the following statements is true about the t-distribution with k degrees of freedom? i. the t-distribution is symmetric ii. the t-distribution with k degrees of freedom has a smaller variance than the t-distribution with

3. ### statistics

A consumer group wants to know if an automobile insurance company with thousands of customers has an average insurance payout for all their customers that is greater than \$500 per insurance claim. They know that most customers

4. ### math 115

Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation 25. Find the value of x so that the area under the normal curve between ì and x is approximately 0.4798 and the

1. ### statistics

Consider a normal distribution with mean 20 and standard deviation 3. What is the probability a value selected at random from this distribution is greater than 20?

2. ### stat

The mean of a normal probability distribution is 60; the standard deviation is 5

3. ### Statistics

1) Let z be a normal random variable with mean 0 and standard deviation 1. The 4th decile of z is ___. a) 0.67 b) –1.25 c) -0.25 d) 1.28 e) 0.50 2) According to the central limit theorem, if a sample of size 50 is drawn from a

4. ### Statistics

The t distribution should be used when ___. the sampling population is not normal the sampling population is unimodal The sampling distribution is normal and the population standard deviation is unknown the population standard

1. ### Math (Statistic)

Considered the sampling distribution of a sample mean obtained by random sampling from an infinite population. This population has a distribution that is highly skewed toward the larger values. a) How is the mean of the sampling

2. ### statistics

a normal distribution has a mean of 20 and a standard deviation of 10. Two scores are sampled randomly from the distribution and the second score is subtracted from the first. What is the probability that the difference score will

3. ### MATH

Which of the following normal distributions has the smallest spread? A. A normal distribution with mean 1 and standard deviation 3 B. A normal distribution with mean 0 and standard deviation 2 C. A normal distribution with mean 3

4. ### Statistics (Math)

A government report looked at the amount borrowed for college by students who graduated in 2000 and had taken out student loans. The mean amount was = \$ 17 , 776 and the standard deviation was s = \$12,034. The quartiles were Q 1 =