Question

In: Statistics and Probability

sample of 67,find probability of a sample mean being less than 20.1 if the mean =...

sample of 67,find probability of a sample mean being less than 20.1 if the mean = 20 and standard deviation=1.35

Expert Solution

Solution :

Given that ,

mean = = 20

standard deviation = = 1.35

n = 67

= = 20 and

= / n = 1.35 / 67 = 0.1649

P( < 20.1) = P(( - ) / < (20.1 - 20) / 0.1649)

= P(z < 0.61) Using standard normal table.

Probability = 0.7291

orchestra answered 2 years ago

Find the probability that the sample mean is less than 984 if a sample of size...

Find the probability that the sample mean is less than 984 if a sample of size 100 is taken from a population with a mean of 1000 and a standard deviation of 300.

The probability that a random sample of 39 state residents had a mean income less than...

The probability that a random sample of 39 state residents had a mean income less than $48,900. I got that z = -3.74 but I can't figure out the rest of the answer. P (X < 48,900) =

Because P(z < .44) = .67, 67% of all z values are less than .44, and...

Because P(z < .44) = .67, 67% of all z values are less than .44, and .44 is the 67th percentile of the standard normal distribution. Determine the value of each of the following percentiles for the standard normal distribution (Hint: If the cumulative area that you must look for does not appear in the z table, use the closest entry): a. The 91st percentile (Hint: Look for area .9100.) b. The 77th percentile c. The 50th percentile d. The...

A. Find the value of the mean of a sample of size 10 such that probability...

A. Find the value of the mean of a sample of size 10 such that probability of finding that value of mean or less has a probability of 0.8234, when the population mean is Mu = 604, and the population standard deviation is 146 B. Find the value of the mean of a sample of size 14 such that probability of finding that value of mean or less has a probability of 0.0468, when the population mean is Mu =...

The probability of obtaining a random sample mean which is lower than the population mean is...

The probability of obtaining a random sample mean which is lower than the population mean is 1.00 0 .50 none of these, since a sample mean can never be lower than a population mean

what does it mean if your sample mean is greater/or less than your population mean? obviously...

what does it mean if your sample mean is greater/or less than your population mean? obviously I have to reject the null for both circumstances but is there anything I can conclude about the population?

Using the statistics table, find the probability of a score less than z = +.88. Write...

Using the statistics table, find the probability of a score less than z = +.88. Write out your answer using all 4 numbers to the left of the decimal.

What is the probability of obtaining a sample mean greater than M=70 for a random sample...

What is the probability of obtaining a sample mean greater than M=70 for a random sample of n= 16 scores selected from a normal population with a mean of μ=60 and a standard deviation of σ=20?

a) Find the probability of an individual being more extreme than 3.2 standard deviation from the...

a) Find the probability of an individual being more extreme than 3.2 standard deviation from the mean. b) Is this unusual? Select an answer Not unusual because the probability is high unusual because the probability is low unusual because the probability is high not unusual because the probability is low

It is claimed that the mean of a population is 67. A random sample was obtained...

It is claimed that the mean of a population is 67. A random sample was obtained and is represented by data labelled “problem 9”. Complete the hypothesis test with α=5%. Use p-value method. 49.5 69.3 80.5 81.9 70 62.2 76.7 92.4 92.7 70.9 95.5 62.5 69.1 70.9 79.6 68.4 88 52.3 95.5 85.8 61.2 98.1 100.1 68.8 76.3 66.9 103.2 79.8 60.1 37.3 55.3 83.6 83.7 76.9 71.6 67.6 69.9 80.9 102.2 85.1