1. A group of students takes a personality test for passiveness versus aggressiveness on an
integer scale where 1 is totally passive and 5 is totally aggressive. Consider the following table:
Score 1 2 3 4 5
Probability 0.26 0.16 0.18 0.21 0.19
Step 1: What i
4. A class of 10 students takes a class in geology. They are given a pre-test at the beginning of
the class to see what they know and a post-test at the end of the class to track improvement. The
teachers want to verify that each student improved after taking the class (??0: ?? = 0 versus
??1: ?? > 0).
Student Pre-test Post-test
1 74 85
2 69 70
3 52 55
4 62 68
5 71 85
6 55 65
7 50 61
8 60 72
9 60 63
10 78 90
Step 1: What is the point estimate for the improvement between the pre-test and the post-test?
Step 2: What is the test statistic?
Step 3: Based on a 0.10 level of significance, what is the final decision?
a. Reject the null hypothesis
b. Do not reject the null hypothesis
c. We do not have enough information
d. None of the above
5. In a random sample of 100 science experiments, the experiments required a mean of 14.7
watts of electricity with a standard deviation of 1.5 watts of electricity. Calculate a 90%
confidence interval for the mean watts of electricity required.
6. A deck of cards contains 52 total cards, which is made up of 13 hearts, 13 clubs, 13 spades,
and 13 diamonds. Suppose that we randomly draw 5 cards without replacement. What is the
probability that none of them are diamonds?
7. It is believed that 70% of salon customers are women, while 30% are men. In a random
sample of 40 customers, what is the probability that 36 out of 40 are women?
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BIT 2405 – Final Exam Practice – v2 1. A group of students takes a personality test for passiveness versus aggressiveness on an integer scale where 1 is totally passive and 5 is totally aggressive. Consider the following table: Score 1 2 3 4 5 Probability 0.26 0.16 0.18 0.21 0.19 Step 1: What is the average score on the 5-point scale? Step 2: What is the probability of scoring no more than 4? Step 3: What is the probability of scoring above a 2? 2. It is believed that approximately 60% of people like Coca Cola, but the company would like to calculate a 90% confidence interval for the proportion. If they want to calculate the confidence interval within 0.01, then what is the minimum sample size required? 3. Engineers’ salaries are normally distributed with a mean of $60,000 and a standard deviation of $7,500. What is the probability that a randomly selected engineer will have a salary of at least $70,000?4. A class of 10 students takes a class in geology. They are given a pre-test at the beginning of the class to see what they know and a post-test at the end of the class to track improvement. The teachers want to verify that each student improved after taking the class (?? : ?? = 0 versus 0 ?? : ?? > 0). 1 Student Pre-test Post-test 1 74 85 2 69 70 3 52 55 4 62 68 5 71 85 6 55 65 7 50 61 8 60 72 9 60 63 10 78 90 Step 1: What is the point estimate for the improvement between the pre-test and the post-test? Step 2: What is the test statistic? Step 3: Based on a 0.10 level of significance, what is the final decision? a. Reject the null hypothesis b. Do not reject the null hypothesis c. We do not have enough information d. None of the above5. In a random sample of 100 science experiments, the experiments required a mean of 14.7 watts of electricity with a standard deviation of 1.5 watts of electricity. Calculate a 90% confidence...