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A fruit juice franchise company has a policy of opening new fruit juice stand only on those areas that have a mean household income of at least ₱30,500 a month. The company is currently considering an area in which to open a new fruit juice stand. The company’s research department took a sample of 25 households from this area and found that the mean monthly income of these households is ₱32,600. Using 5% significance level, would you conclude that the company should open a fruit juice stand in the area? Also, find the 95% confidence interval of the true mean.
The treasurer of a municipality claims that the average net worth of families living in this municipality is ₱590,000. A random sample of 50 families selected from this area produced a mean net worth of ₱720,000 with standard deviation of ₱65,000. Using 1% significance level, can we conclude that the claim is true? Also, find the 99% confidence interval of the true mean.
6. Lilian got a score of 55, which is equivalent to the 70th percentile in a mathematics test. Which of the following is NOT true?
A. 70% of the students got a score less than or equal to Lilian’s score.
B. Thirty percent of the class got scores of 55 and above.
C. If the passing mark is the first quartile, she passed the test.
D. Her score is below the 5th decile.
7. In a 50-item test, Angela got a score of 35 which is the third quartile. This means that:
A. She got the highest score.
B. Her score is higher than 25% of her classmates.
C. She surpassed 75% of her classmates.
D. Seventy-five percent of the class did not pass the test.
8. In the set of scores 14, 17, 10, 22, 19, 24, 8, 12, and 19, the median score is _______. A. 17 C. 16 B. 15 D. 13
The weights of the students in a class are the following: 69, 70, 75, 66, 83, 88, 66, 63, 61, 68, 73, 57, 52, 58, and 57.
8. Find the value of D8 of the students’ weights.
9. Calculate the value of D4 of the students’ weights.
10. What is the Q2 of the students’ weights?
The scores of Miss San Quintin candidates from seven judges were recorded as follows: 8.12, 9.10, 8.42, 9.14, 8.75, 9.17, and 8. 37
For numbers 4 – 6, refer to the given data above.
4. Find the 50th percentile or P50 of the judges’ scores.
5. What is the P30 of the judges’ scores?
6. Determine the 70th percentile of the judges’ scores
7. Calculate P40 of the judges’ scores
Between z = – 2.39 and z = – 1.05
On an average 5% of the population in an area suffers from Diabetes. What is the probability that out of 7 persons chosen at random from this area with less than and equals to three suffer from the disease
It has been found that the average time internet users spend online per week is 18.3 hours.
A random sample of 48 teenagers indicated that their mean amount of internet time per week was 20.9 hours with a population variance of 32.49. At the 0.02 level of significance, can it be concluded that the mean time differs from 18.3 hours per week?
Let X, Y, Z have joint probability distribution function
f(x , y , z) = { k(x^2+ yz), 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1
0, elsewhere
Find
(i) the value of k.
(ii) the conditional expectation of Z given X= x,Y= y
Is " Grade Point Average" discrete or continuous?
