A distribution of sample means was created by randomly selecting samples of (n = 64) from the following population. What is the largest possible sample mean in the bottom 10% of the sampling distribution? Your answer should have 2 decimal places. 24 ? ?-3? ?-2? ?-? ? ?+? ?+2? ?+3? 92
Added by Noelia B.
Close
Step 1
We are looking for the largest possible sample mean in the bottom 10% of the distribution. This corresponds to the 10th percentile. Show more…
Show all steps
Your feedback will help us improve your experience
Kari Hasz and 69 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
A random sample of size 33 is to be selected from a population that has a mean μ = 53 and a standard deviation σ of 10. (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) (d) What is the probability that this sample mean will be between 44 and 52? (Give your answer correct to four decimal places.) (e) What is the probability that the sample mean will have a value greater than 55? (Give your answer correct to four decimal places.) (f) What is the probability that the sample mean will be within 5 units of the mean? (Give your answer correct to four decimal places.)
Kari H.
A population has a mean of mu = 30 and standard deviation sigma = 8 (a) If the population distribution is normal, what is the probability of obtaining a sample mean greater than M= 32 for a sample of n= 4? (b) If the population distribution is positively skewed what is the probability of obtaining a sample mean greater than M= 32 for a sample of n= 4? (c) If the population distribution is normal, what is the probability of obtaining a sample mean greater than M=32 for a sample of n= 64? (d) If the population distribution is positively skewed, what is the probability of obtaining a sample mean greater than M= 32 for a sample of n=64?
Sri K.
Consider a population made up of 1,000,000 observations (N=1,000,000) - the population mean is equal to 10 (𝜇=10), and the population standard deviation is equal to 3 (𝜎=3). From this population, we are going to pick up 1,000 random samples, each including exactly 100 observations (n=100). Every time we pick up a sample, we will compute and record the obtained sample means. This yields a sampling distribution of means with 1,000 sample means. a. What percentage of the obtained sample means are less than 10.25? Make sure to round your answer to two decimal points. Also, how did you find the answer? Explain briefly (word limit: 50 words). b. There is an unknown sample mean, called 𝑋 ∗ . Exactly 33% of sample means are less than 𝑋 ∗ . What is the value for 𝑋 ∗ ? Make sure to round your answer to two decimal points. Also, how did you find the answer? Explain briefly (word limit: 50 words). c. There is another unknown sample mean, called 𝑋 ∗∗ . Exactly 45% of sample means are greater than 𝑋 ∗∗ . What is the value for 𝑋 ∗∗ ? Make sure to round your answer to two decimal points. Also, how did you find the answer? Explain briefly (word limit: 50 words).
Ana Carolina D.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD