A sample has a mean of M = 36 and a standard deviation of s =...
A sample has a mean of M = 36 and a standard deviation of s = 2. Find the z score for each of the following X values from this sample. (Use 1 decimal place.)
| X | z |
| 39.0 | |
| 41.0 | |
| 38.0 | |
| 31.0 | |
| 35.0 | |
| 32.0 |
Homework Answers
Calculate the sample standard deviation for this data set: 11, 28, 36. The formula for the...
Calculate the sample standard deviation for this data set: 11, 28, 36. The formula for the sample standard deviation is shown, where ?n represents the sample size, ?x represents each value in the data set, and ?⎯⎯⎯x¯ represents the sample mean. ?=∑(?−?⎯⎯⎯)2?−1‾‾‾‾‾‾‾‾‾‾‾‾√s=∑(x−x¯)2n−1 Step 1. Calculate the sample mean. ?⎯⎯⎯x¯ = Step 2. Calculate the deviations and the squares of the deviations. deviation of 11= square of deviation of 11= deviation of 28= square of deviation of 28= deviation of 36=...
A population has a mean of 55.5 and a standard deviation of 12.7. A sample of...
A population has a mean of 55.5 and a standard deviation of 12.7. A sample of 72 will be taken. Find the probability that the sample mean will be between 51.1 and 56.3. smaller z score = Number (2 decimals) larger z score = Number (2 decimals) The probability = Number (use 4 decimals)
A variable has a mean of 100 and a standard deviation of 16. Sixteen observations of...
A variable has a mean of 100 and a standard deviation of 16. Sixteen observations of this variable have a mean of 113 and a sample standard deviation of 36. Determine the observed value of the a. standardized version of x. b. studentized version of x. a. Z= (Round to three decimal places as needed.) b.t- (Round to three decimal places as needed.) a. Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence...
Assume that you have a sample size of n1 = 16 with a mean of 42 and a standard deviation (S) equal to 9. Assume that you have another independent sample with n2 = 25, a mean of 36 and a standard devia...
Assume that you have a sample size of n1 = 16 with a mean of 42 and a standard deviation (S) equal to 9. Assume that you have another independent sample with n2 = 25, a mean of 36 and a standard deviation (S) of 4. Assume you are directed to use a significance level of α = 0.01. [DM.4] Construct the appropriate hypothesis test. Identify H0 and H1. What are the appropriate critical values? (4 Decimal Places) From what...
= X- 4) A normal distribution has mean u = 65 and a population standard deviation...
= X- 4) A normal distribution has mean u = 65 and a population standard deviation o= 20. Find and interpret the z - Score for x = 64. u a) The z - score for x = 64 is 64-65 b) Interpret these results. (Explain): 5) A sample size 28 will be drawn from a population with mean 120 and standard deviation 21. a) Is it appropriate to use the normal distribution to find probabilities for x? yes or...
Suppose a set of data has a sample mean of 106 and a sample standard deviation...
Suppose a set of data has a sample mean of 106 and a sample standard deviation of 19.8. What is the Z-score for the value 122.0? Round the 2-score to two decimal places. Your Answer: Answer
A normally distributed population has a mean of µ = 70 and a standard deviation of...
A normally distributed population has a mean of µ = 70 and a standard deviation of σ = 12. A sample (n = 36) is selected from a population and a treatment is administered to the sample. After treatment, the sample mean is found to be M = 65. Does this sample provide evidence of a statistically significant treatment effect with an alpha of 0.05 (non-directional hypothesis)? [G&W Chp 8] Yes, our z-score reaches the critical region. No, our z-score fails to...
Consider a sample with a mean equal to 38 and a standard deviation equal to 12....
Consider a sample with a mean equal to 38 and a standard deviation equal to 12. Calculate the z-scores for the following values. a) 48 b) 62 c) 32 d) 12 a) The z-score of 48 is nothing. (Round to two decimal places as needed.) b) The z-score of 62 is nothing. (Round to two decimal places as needed.) c) The z-score of 32 is nothing. (Round to two decimal places as needed.) d) The z-score of 12 is
Consider a sample with a mean equal to 40 and a standard deviation equal to 12....
Consider a sample with a mean equal to 40 and a standard deviation equal to 12. Calculate the z-scores for the following values. a) 53 b) 68 c) 33 d) 9 (Round to two decimal places as needed.) a) The z-score of 53 is b) The z-score of 68 is (Round to two decimal places as needed.) c) The z-score of 33 is . (Round to two decimal places as needed.) (Round to two decimal places as needed.) d) The...
17.Find the standard deviation, s, of sample data summarized in the frequency distribution table given below...
17.Find the standard deviation, s, of sample data summarized in
the frequency distribution table given below by using the
formulabelow, where x represents the class midpoint, f represents
the class frequency, and n represents the total number of sample
values. Also, compare the computed standard deviation to the
standard deviation obtained from the original list of data values,
9.0.
Standard deviation=___
Compare the computed standard deviation to the standard
deviation obtained from the original list of data values, 9.0.
Consider...
A population has a mean of 55.5 and a standard deviation of 12.7. A sample of 72 will be taken. Find the probability that the sample mean will be between 51.1 and 56.3. smaller z score = Number (2 decimals) larger z score = Number (2 decimals) The probability = Number (use 4 decimals)
A variable has a mean of 100 and a standard deviation of 16. Sixteen observations of this variable have a mean of 113 and a sample standard deviation of 36. Determine the observed value of the a. standardized version of x. b. studentized version of x. a. Z= (Round to three decimal places as needed.) b.t- (Round to three decimal places as needed.) a. Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence...
= X- 4) A normal distribution has mean u = 65 and a population standard deviation o= 20. Find and interpret the z - Score for x = 64. u a) The z - score for x = 64 is 64-65 b) Interpret these results. (Explain): 5) A sample size 28 will be drawn from a population with mean 120 and standard deviation 21. a) Is it appropriate to use the normal distribution to find probabilities for x? yes or...
Suppose a set of data has a sample mean of 106 and a sample standard deviation of 19.8. What is the Z-score for the value 122.0? Round the 2-score to two decimal places. Your Answer: Answer
Consider a sample with a mean equal to 40 and a standard deviation equal to 12. Calculate the z-scores for the following values. a) 53 b) 68 c) 33 d) 9 (Round to two decimal places as needed.) a) The z-score of 53 is b) The z-score of 68 is (Round to two decimal places as needed.) c) The z-score of 33 is . (Round to two decimal places as needed.) (Round to two decimal places as needed.) d) The...
17.Find the standard deviation, s, of sample data summarized in
the frequency distribution table given below by using the
formulabelow, where x represents the class midpoint, f represents
the class frequency, and n represents the total number of sample
values. Also, compare the computed standard deviation to the
standard deviation obtained from the original list of data values,
9.0.
Standard deviation=___
Compare the computed standard deviation to the standard
deviation obtained from the original list of data values, 9.0.
Consider...
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