Question

Consider a population of 200 with a mean of 60 and a standard deviation equal to...

Consider a population of 200 with a mean of 60 and a standard deviation equal to 21. What is the probability of obtaining a sample mean of 63 or less from a sample of 35​?

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 60

standard deviation = =21

n = 35

= = 60

= / n = 21 / 35 = 3.55

P( < 63 ) = P(( - ) / < (63 - 60) / 3.55 )

= P(z < 0.85 )

Using z table

= 0.8023   

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A population has a mean of 200 and a standard deviation of 60. Suppose a sample...
A population has a mean of 200 and a standard deviation of 60. Suppose a sample of size 100 is selected and  is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 17 of the population mean (to 4 decimals)? (Round z...
A normally distributed population has a mean of 560 and a standard deviation of 60 ....
A normally distributed population has a mean of 560 and a standard deviation of 60 . a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 519 . b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 589 Although either technology or the standard normal distribution table could be used to find...
A normally distributed population has a mean of 500 and a standard deviation of 60. a....
A normally distributed population has a mean of 500 and a standard deviation of 60. a. Determine the probability that a random sample of size selected from this population will have a sample mean less than . 9 455 b. Determine the probability that a random sample of size selected from the population will have a sample mean greater than or equal to . 25 532 a. P x < 455 = (Round to four decimal places as needed.) b....
For a normal population with a mean equal to 83 and a standard deviation equal to...
For a normal population with a mean equal to 83 and a standard deviation equal to 13 ​, determine the probability of observing a sample mean of 89 or less from a sample of size 8 . Click here to view page 1 of the cumulative standardized normal table. LOADING... Click here to view page 2 of the cumulative standardized normal table. LOADING... Upper P left parenthesis x overbar less than or equals 89 right parenthesis
In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is...
In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is $5,000. When the sample size is n = 30, there is a 0.4161 probability of obtaining a sample mean within +/- $500 of the population mean. Use z-table. What is the probability that the sample mean is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? What is the probability that the sample mean is within...
In the EAI sampling problem, the population mean is $51,700 and the population standard deviation is...
In the EAI sampling problem, the population mean is $51,700 and the population standard deviation is $4000 . When the sample size is n=30 , there is a .5034 probability of obtaining a sample mean within + or - 500 of the population mean. Use z-table. a. What is the probability that the sample mean is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? b. What is the probability that the...
The population mean and standard deviation are given below. Find the required probability and determine whether...
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=63​, find the probability of a sample mean being less than 21.1 if m=21 and sigma=1.21.
A normal population has a mean of 61 and a standard deviation of 4. You select...
A normal population has a mean of 61 and a standard deviation of 4. You select a sample of 38. Compute the probability that the sample mean is: (Round your z values to 2 decimal places and final answers to 4 decimal places.) Less than 60. Between 60 and 62. Between 62 and 63. Greater than 63.
A population has a mean of 200 and a standard deviation of 50. Suppose a simple...
A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size ̅ 100 is selected and ? is used to estimate ?. 1. What is the probability that the sample mean will be within ±5 of the population mean? 2. What is the probability that the sample mean will be within ±10 of the population mean?
For a population that is left skewed with a mean of 24and a standard deviation equal...
For a population that is left skewed with a mean of 24and a standard deviation equal to 18​,determine the probability of observing a sample mean of 23or more from a sample of size 36.