If the sampled population has a mean of 48 and standard deviation of 16, then respectively the mean and the standard deviation for the sampling distribution of x¯x¯ for n = 16 are Multiple Choice 4 and 1. 12 and 4. 48 and 4. 48 and 1. 48 and 16.
Added by Belinda G.
Step 1
To find the mean and standard deviation for the sampling distribution of the sample mean (\( \bar{x} \)) when the sample size \( n = 16 \), we can follow these steps: ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Lien Le and 85 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Lien L.
A population has a mean of 50 and a standard deviation of $6 .$ (a) What are the mean and standard deviation of the sampling distribution of the mean for $\mathrm{N}=$ $16 ?$ (b) What are the mean and standard deviation of the sampling distribution of the mean for $\mathrm{N}=20 ?$
3. A random sample of n = 64 observations is drawn from the population distribution of a random variable X which has mean equal to 20 and standard deviation equal to 16. The first step is that you are given information about the distribution of X, which allows you to calculate the parameters of the sampling distribution of X̄, that is, the mean μ_X̄, and the standard deviation, σ_X̄. a. Calculate the mean and standard deviation of the (repeated) sampling distribution of X̄. b. Describe the shape of the sampling distribution of X̄. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x̄ = 15.5. d. Calculate the standard normal z-score corresponding to x̄ = 23.
Sri K.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD