Test scores for a Statistics class have a mean of 81 with a standard deviation of 4. Test scores for a calculus class had a mean of 75 with a standard deviation of 3.5. Suppose a student gets an 87 on the statistics test and an 86 on the calculus test. Calculate the z-scores for each test. On which test did the student perform better relative to the other students in the class.

Q: The average exam score of a physics class is 75 points with a standard deviation of 3 points. Peter…

A: Given information Mean µ= 75 Standard deviation σ = 3 Peter’s score x = 72

Q: A brother and sister took two different standardized tests.  He scored 114 on a test that had a mean…

A: Given that, A brother and sister took two different standardized tests.  He scored 114 on a test…

Q: Raul received a score of 73 on a history test for which the class mean was 70 with a standard…

A: Here we need to find the z score and for that, we have to use the formula z = Value-meanStandard…

Q: A set of observations has 4 values and a mean of 33.6. A new observation of 21.3 is added to the…

A:

Q: Suppose that the exam scores of a statistics class were normally distributed with a mean of 94 and…

A: Solution: Let X be the exam score of a statistics class. From the given information, X follows…

Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: A class of 30 62.171 students took a quiz worth 50 points. The standard deviation of the scores was…

A: Standard deviation of sample is given by

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 242 cm.…

A: Thus, the standard z-score for the tallest man is 10.51.

Q: Suppose a statistics instructor believes that there is no significant difference between the mean…

A: Complete solution and answer is given in the image uploaded below  Thanks!

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9.  The same…

A:

Q: compare the given values. The tallest living man at one time had a height of 264 cm. The shortest…

A: Mean=173.67Population standard deviation=8.72

Q: Dougal is filling out college applications that require either a SAT math score or ACT math score.…

A: Given Information: Dougal has an SAT math score of 610 and an ACT math score of 27. Mean SAT math…

Q: Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the…

A: From the provided information, Sample size (n) = 10 Sample mean (x̅) = 6.9 Sample standard deviation…

Q: What is the Z value for a value of X = 60?

A:

Q: This population has a mean of 50. If we took an infinite number of samples and got the mean of each…

A:

Q: Scores on a test have a mean of 6 and a standard deviation of 9. Michelle has a score of 57. Convert…

A:

Q: John got 83 on a test, with a standard deviation of 10.73 and the class mean was 77.1. Paul got 88…

A: From the provided information, John got (X) 83 on a test with a standard deviation (σ) of 10.73 and…

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 247 cm.…

A: Given information- Population mean, µ = 177.86 cm Population standard deviation, σ = 6.69 cm Height…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 234…

A:

Q: Three potential employees took an aptitude test. Each person took a different version of the test.…

A: The raw score of Cade is 95.5. For Cade's version of the test, the mean, μ=64.7, and the standard…

Q: her wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10% will be…

A: given: mean(μ)=78 sd(σ)=8

Q: Suppose that the mean of a set of data is 50.2 and the standard deviation is 4.2.  Assume that the…

A: Given  μ=50.2, σ=4.2, h=5.1  We want to find the new mean and standard deviation.

Q: For a statistics test the mean is 63 and the standard deviation is 7.0, and for a biology test the…

A: We know that ,Z-score=x-μσ

Q: Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the…

A: Solution: Let X be the waiting time. From the given information, x-bar = 2.7 hours, S=2.8 hours and…

Q: ... Since the z score for the tallest man is z = and the z score for the shortest man is z = | , the…

A: The tallest living man at one time had a height of 238 cm. The shortest living man at that time had…

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 239 cm.…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e., X~N(μ,…

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 245 cm.…

A: Determine the Z-score for the tallest man. The Z-score for the tallest man is obtained below as…

Q: Three potential employees took an aptitude test. Each person took a different version of the test.…

A: From the provided information, Pierce got a score of 71.5 with mean (µ) = 62.5 and standard…

Q: Use z scores to compare the given values.   The tallest living man at one time had a height of 225…

A: Given that  The tallest living man at one time had a height of 225 cm. The shortest living man at…

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 263 cm.…

A:

Q: ith a mean of 110 and standard dev. of 15, find the 3 unique deviations to the left and right of the…

A: Deviations to the left   i) One standard deviation away from mean x = u - s x = 110 - 15 = 95   ii)…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: Suppose that the mean weight for men 18 to 24 years old is 170 pounds, and the standard deviation is…

A: The objective of this question is to calculate the z-score for each given weight. The z-score is a…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.