Question

We have a normally distributed population of scores with μ = 25 and σ = 5. We have drawn a large number of random samples with a particular sample size of n = 10 from this population.

We want to know what the probability that a sample mean will be equal to or greater than 23.

First, what is the z-score for our sample mean of interest, 23?

Step 1

Given that a population distributed normally with mean 25 and standard deviation 5. Samples are drawn with sample size 10 from this population.

We want to know what the probability that the mean of the sample means will be equal to or greater than 23.

P(Xbar > 23)

Step 2

Given µ = 25, σ = 5 .

Sample size n = 10.

In order to find out P(Xbar > 23) we need to find the Z score for Xbar =23.

Z score is the distance of a data point from its mean in terms of standard deviation, which can be calculated by the below mentioned formula.

Step 3

Mean of the sample = mean of the population = µ = 25.

Standard deviation of sample = Stadnard devaition of population/√sample size = (σ/√n), where &sig...

Tagged in

Q: 2. You are at Disney World and wait 45 minutes to ride the roller coaster at Space Mountain. Guests ...

A: The aim is to define the cycle time of the process and the throughput time.

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of t...

A: The estimated regression line is as follows:

Q: A, B, C

A: In this question we have given a data of 10 sample observation based on that data we have to find co...

Q: Number 1 Please, Explain shortcut with TI84 if applicable

A: a. Computation of test statistic value:Sample size is greater than 30 and the population standard de...

Q: Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found...

A: The sample data of seven admission test scores for a professional school is provided.Here, n = 7.The...

Q: A researcher wants to test to see if husbands are significantly older than their wives. To do this, ...

A: Paired t-test statistic:In order to test a hypothesis regarding whether the difference between a pai...

Q: Number 2 Please, Explain shortcut with TI84 if applicable

A: Given sample size n = 36Sample mean = 44Sample standard deviation = 5.2Level of significance = α = 0...

Q: You have recorded the height and weight of 27 people. Suppose that your data meet the assumptions of...

A: Solution:It is given that Pearson correlation coefficient r = 0.4 and the sample size n = 27.Critica...

Q: Suppose you would like to estimate, with 97% confidence, the proportion of computers that need repai...

A: It is given that the level of confidence is 97% and desired margin of error E is 0.035.The formula f...

Sorry about that. What wasn’t helpful?