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the 2019 bar exams only 2103 of the 7685 bar passed. The passing a weighted average of 74, which is higher than the mean weighted average of all the bar examinees. Find this mean given that the weighted average is normally distributed with a standard deviation of 16.62. Round off the final answer to the nearest whole number
What are the correct values of the mean and variance of the distribution of the heights of these students? 7. a. A box of biscuits is considered to be underweight if it weighs less than 228 grams. It is known that the weight of these boxes of biscuits is normally distributed with mean 231 grams and standard deviation 1.5 grams. What is the probability that the box is underweight?

Suppose a graphing calculator is used to choose a random integer (whole #) between 1 and 60, with each integer having an equal chance of being selected. (2 pts each)

a) What is the probability that the number chosen is greater than 39?

b) Use the Addition Rule to find the probability that the calculator selects a number that is greater than 39 or is an even number less than 15.

c) Use the Addition Rule to find the probability that the calculator selects a number that is either greater than 39 or is an even number.

2. An instructor collects the home addresses of each student in a class of 30 students. Suppose A represents the event that all the students in the class live on different streets. (2 pts each)

a) Describe, in a sentence, what the event (A complement) represents.


The following table shows the amount of converted sugar in a chemical process at different temperatures.
Temperature, x Converted Sugar, y
1.2 8.2
1.4 8.5
1.6 8.4
1.8 9.3
2.0 8.9
2.2 10.5
2.4 9.3


a. Compute for the correlation coefficient
b. Estimate the linear regression line.
c. Estimate the mean amount of sugar produced when the temperature recorded is 1.7.
Why the standard deviation is the better measure of variability?
The new memory enhancer X recently gained a reputation in the market as the most effective memory enhancer ever produced by XY Pharma. The recorded average memory level among people who had taken the enhancer was 95 with a standard deviation of 10. As a neuroscientist, you want to test the claim and conducted a study and measure the memory level of 50 participants. The average memory level of the participants came out to be 80. Is there enough evidence to support the claim about the new memory enhancer?
The following table shows the amount of converted sugar in a chemical process at different temperatures.

TEMPERATURE X CONVERTED SUGAR Y
1.2 8.2
1.4 8.5
1.6 8.4
1.8 9.3
2.0 8.9
2.2 10.5
2.4 9.3






a. Compute for the correlation coefficient.
b. Estimate the linear regression line.
c. Estimate the mean amount of sugar produced when the temperature recorded is 1.7.
Instructions: Show your solutions,
Follow naming guidelines in the syllabus.
I. Using the table, find the following:
1. Mode, Median, Mode
2. Mean Deviation
3. Variance and Standard Deviation

72 44 80 40 44 60 80 43 55 62
73 49 58 48 80 53 52 47 51 80
46 61 41 74 78 56 62 55 75 51
64 40 79 65 76 66 46 60 67 52
76 49 44 47 45 68 57 56 59 68

II. Given sigma μ=45 and σ, = 6, determine and plot the location of the z scores of the following raw scores: 56, 70,82
III. The scores of SLU College Admission Test are normally distributed,with = 80 and = 6. Find the following:
1. What is the percentile rank of 84?
2. What percentageof scores fall between 64 and 90?

The average expenditure per student, based on daily average attendance, for a certain school year was Php 496,176.00, with a population standard deviation of Php 74,880.00.

A survey for the next school year of 150 randomly selected students resulted in a sample average expenditure of Php 518,304.00. Do these results indicate that the average expenditure has decreased? Choose your own level of significance.


The average monthly cell phone bill was reported to be Php 2,400.00. Random sampling of a large cell phone company found the following monthly cell phone charges.

2,679.85 2,461.00

2,902.56 3,023.25

2,812.80 2,361.50

2,394.20 3,380.16

2,517.60 2,403.95

At the .05 level of significance, can it be concluded that the average phone bill has increased?


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