1. A sample of n = 20 scores has a mean of M = 30. a....

1. A sample of n = 20 scores has a mean of M = 30.

a. If the sample standard deviation is s = 10, would a score of X = 38 be considered an extreme value (out in the tail of the distribution)?

X = 38 would not be considered an extreme value as it falls within one standard deviation above the mean

b. If the sample standard deviation is s = 2, would score of X = 38 be considered an extreme value (out in the tail of the distribution)?

X = 38 would not be considered an extreme value as it falls within 4 standard deviations above the mean

I know this question is answered here on textbook solutions for Essentials of Statistics for Behavioral Sciences: 6th Edition (Chapter 4 Problem 10)

But I simply do not comprehend this concept and I would like to.

Thank you !

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A sample has a mean of M = 30 and a standard deviation of s =...

A sample has a mean of M = 30 and a standard deviation of s = 8. Find the z-score for each of the following X values from this sample. X = 32 X = 34 X = 36 X = 28 X = 20 X = 18

A sample of n = 6 has a mean of M = 32. What is åX?...

A sample of n = 6 has a mean of M = 32. What is åX? Find the mean for the following frequency distribution: X f 10 1 9 2 8 4 7 3 6 2 For the following scores, find the following: Mean Median Mode Based on the three values for central tendency, what is the most likely shape for this distribution of scores (symmetrical, positively skewed, or negatively skewed)? 26 40 21 17 48 31 37 22 24 ...

A SAMPLE consists of the following: N=3 scores: 0, 4, 12 Find M (mean), SS (sum...

A SAMPLE consists of the following: N=3 scores: 0, 4, 12 Find M (mean), SS (sum of squares), s2 (variance), and s (standard deviation) Find the z scores for each score in the sample Transform the original sample into a new sample with a mean of M= 50, and s=10

Country Sample Size Sample Mean Sample Standard Deviation UK n=20 X1= 8.39 S1= 0.035347565 Turkey n=20...

Country Sample Size Sample Mean Sample Standard Deviation UK n=20 X1= 8.39 S1= 0.035347565 Turkey n=20 X2= 1.88 S2= 0.005744989 a) Test at 5% level individually if the mean percentage for each of the countries is different from 10%. b) Obtain a 95% confidence interval for the difference of means for the two countries. c) Test an appropriate pair of hypotheses for the two means at 5% level of significance. d) For each country test at 5% level if the...

Suppose you have a sample size of n = 20, with a sample mean of 65...

Suppose you have a sample size of n = 20, with a sample mean of 65 and a sample standard deviation of 15. Suppose the population mean is thought to be 50. You want to find out whether your sample mean is different from the population mean. Which test should you use? Select one: a. paired t-test b. two proportion z-test c. one proportion z-test d. two sample t-test e. one sample t-test.

Given the following information: the sample size n = 20, the sample mean= 75.3, and the...

Given the following information: the sample size n = 20, the sample mean= 75.3, and the population standard deviation= 6.0. Please show your work. Find the 0.99 confidence interval for

Sample size (n) Sample mean (x̄) Sample Variance () Stun gun 10 13.6667 3.5152 Poisoned M&M...

Sample size (n) Sample mean (x̄) Sample Variance () Stun gun 10 13.6667 3.5152 Poisoned M&M 10 12.25 3.8409 Murder hornet 10 14.0833 0.5184 (1) If the high voltage stun gun was the murder weapon, then victim must have been electrocuted. Suppose that it take 5 direct shocks with the stun gun to kill a victim and that the probability of a direct shock on any given attempt is 0.8. Assume that the murderer took 6 attempts. (a) Which probability...

(1.) A normal population has a mean of µ = 100. A sample of n = 36...

(1.) A normal population has a mean of µ = 100. A sample of n = 36 is selected from the population, and a treatment is administered to the sample. After treatment, the sample mean is computed to be M = 106. Assuming that the population standard deviation is σ = 12, use the data to test whether or not the treatment has a significant effect. Use a one tailed test. Hypothesis: Zcrit= z test calculation: Conclusion: (2.) A mood questionnaire...

1. A )When a sample of n observations are selected from population that has a mean...

1. A )When a sample of n observations are selected from population that has a mean equal to μ, then the sampling distribution of sample means will have a mean... that may be larger or less than μ , depending on the size of the sample, n greater than μ less than μ equal to μ b) When a sample of n observations are selected from population that has a mean equal to μ and a standard deviation equal to...

1.) Years of scores have indicated that the mean on a stats exam is 30 and...

1.) Years of scores have indicated that the mean on a stats exam is 30 and the standard deviation is 7. The number of people in the sample class 47. a- What is the population mean of the sampling distribution? b-What is the population variance and standard error of this sampling distribution? c-What minimum sample mean would this class need to obtain to be in the top 5% of the sample mean ? d) What is the probability of obtaining...

Subjects