Question

1. Suppose that the average grades of an introduction to marketing course final is 70 with...

1. Suppose that the average grades of an introduction to marketing course final is 70 with a standard deviation of 5. Chris got 60 in this exam, please calculate Chris’ z-score. How do we interpret that number?

2. Cassie got 85 in this exam, please calculate Cassie’s z-score. How do we interpret that number?

Now calculate what percentile Cassie’s score lies.

3. Find the interval of scores within which 95% of the students fall (z-score = ±1.96) in this exam.


Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(1) Given that mean = 70 and standard deviation = 5

x value for Chris is 60

z score = (x-mean)/standard deviation = (60-70)/5 = -10/5 = -2

Chris score is 2 standard deviations below the mean exam score.

(2) Given that mean = 70 and standard deviation = 5

x value for Cassie is 85

z score = (x-mean)/standard deviation = (85-70)/5 = 15/5 = 3

Cassie score is 3 standard deviations above the mean exam score.

(3) Confidence interval is given as

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Question 1 1. A set of final examination grades in an introductory statistics course is normally...
Question 1 1. A set of final examination grades in an introductory statistics course is normally distributed with a mean of 85 and a standard deviation of 12. a) What is the probability of getting a grade of 95 on this exam? b) What is the probability that a student scored less than 55 and more than79? c) The probability is 8% that a student taking the test scores higher than than what grade? d) If the professor grades on...
uestion 1 1. A set of final examination grades in an introductory statistics course is normally...
uestion 1 1. A set of final examination grades in an introductory statistics course is normally distributed with a mean of 73 and a standard deviation of 8. a) What is the probability of getting a grade of 91or less on this exam? b) what is the probability that a student scored between 65 and 89? c) The probability is 5% that a student taking the test scores higher than than what grade? d) If the professor grades on a...
The following scores represent a sample of final examination grades for a statistics course 23 60...
The following scores represent a sample of final examination grades for a statistics course 23 60 98 32 57 74 52 70 82 69 74 63 80 62 80 77 81 95 41 65 92 85 85 61 36 79 55 76 52 10 64 75 78 25 80 48 83 64 88 82 81 67 41 71 67 54 34 72 74 43 60 78 84 89 76 84 17 90 15 79 a) Compute the 20th percentile of...
The following scores represent a sample of final examination grades for a statistics course 23 60...
The following scores represent a sample of final examination grades for a statistics course 23 60 98 32 57 74 52 70 82 69 74 63 80 62 80 77 81 95 41 65 92 85 85 61 36 79 55 76 52 10 64 75 78 25 80 48 83 64 88 82 81 67 41 71 67 54 34 72 74 43 60 78 84 89 76 84 17 90 15 79 a) Provide a frequency polygon with...
1. The average final exam score for the statistics course is 78%. A professor wants to...
1. The average final exam score for the statistics course is 78%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 77, 58, 53, 90, 83, 77, 51, 72, 53, 68, 81 What can be...
Do men score lower on average compared to women on their statistics finals? Final exam scores...
Do men score lower on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male:  65 69 91 56 85 82 59 92 81 78 Female:  71 85 99 69 99 65 86 79 64 98 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should...
The average test score for the statistics course is 74%. A professor wants to see if...
The average test score for the statistics course is 74%. A professor wants to see if the average test score for students who are given colored pens on the first day of class is higher. The test scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 81, 61, 86, 63, 74, 91, 62, 70, 80, 94, 70, 87 What can be concluded at the...
The owner of a local golf course wants to estimate the difference between the average ages...
The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He randomly samples 25 men and 28 women that play on his course. He finds the average age of the men to be 36.105 with a standard deviation of 5.507. The average age of the women was 48.973 with a standard deviation of 5.62. He uses this information to calculate a 90% confidence interval...
Is a statistics class' delivery type a factor in how well students do on the final...
Is a statistics class' delivery type a factor in how well students do on the final exam? The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types. Online Hybrid Face-to-Face 69 62 65 68 55 69 69 72 68 74 77 59 55 87 81 88 91 85 91 78 94 79 58 55 Assume that all distributions are normal, the three population standard deviations are all the same,...
Professor Moriarty has never taken a formal statistics course; however, he has heard about the bell-shaped...
Professor Moriarty has never taken a formal statistics course; however, he has heard about the bell-shaped curve and has some knowledge of the Empirical Rule for normal distributions. Professor Moriarty teaches as Honors Quantum Physics class in which he grades on the bell curve. He assigns letter grades to his students' tests by assuming a normal distribution and utilizing the Empirical Rule. The Professor reasons that if IQ and SAT scores follow a normal distribution, then his students' scores must...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT