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1) For the sample with a standard deviation of 10, a score of X = 44 corresponds to a z-score of 0.50. Based on this information, determine the sample mean?

2) Which of the following exam scores must lead to the better grade?  Describe your answer with detailed explanation.

a) A score of X = 55 on an exam which has the mean of 60 and a standard deviation of 5.

b) A score of X = 40 on the exam which has the mean of 50 and a standard deviation of 20.

3) For a sample with mean = 50 and standard deviation = 10.

a) Determine the z-score for each of the following X values:

X = 60
X = 75
X = 30

b) Now determine the score (X value) which corresponds to each of the z-scores given below:
z = 0.8
z = 1.5
z = -1.5

In a typical week, how many times do you eat at the fast food restaurant?  The following data was then collected:

No. of times per week              No. of students
5 or more                                         2
4                                                      2
3                                                      3
2                                                      6
1                                                      0
0                                                      3
Total                                                 6

Assume you randomly choose one person from this sample of students.

A. Determine the probability that the student eats at a fast food restaurant 5 or more times per week?

B. Determine the probability that the student eats at a fast food restaurant 2 or more times per week?

C. What are the odds that student eats at the fast food restaurant zero times per week?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M910330

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