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SJS Company has been selling to retail customers in the Metro Manila area. They advertise
extensively on radio, print ads, and in the internet. The owner would like to review the
relationship between the amount spent on advertising expense ( in 1000s) and sales (in ₱000s).
Below is information on advertising expense and sales for the last 9 months.
Month Jan Feb Mar Apr May Jun Jul Aug Sept
Advertising
Expense 10 14 12 9 13 15 8 13 16
Sales
Revenue 180 170 190 220 235 208 215 175 250
Determine the coefficient of correlation and test the significance at 0.05.
The head of the mathematics department announced that the mean score of Grade 11 students in the second periodic test in statistics was 89, And a standard deviation was 12. One student believed that the main score was less than this, So the student randomly selected 34 students and computer do you mean score, And obtained I mean score of 85. At 0.01 level of significance, Construct the critical regions.
Find the areas under the normal curve in each of the following cases: (2pts. each)
1. Between z = 0 and z = 1.63 2. Between z = 0 and tau = 0.98
3. To the right of z= 0.29
4. To the left of
5. Between z=-1.56 and z=-1.83
z = - 1.39
The head of the mathematics department announced that the mean score of grade 11 students in the second periodic test in statistics was 89, and the standard deviation was 12. One student believed that the mean score was less than this, so thre student randomly selected 34 students and computed their mean score, and obtained a mean score of 85. At 0.01 level of significance, construct the critical regions.
What is the probability that the mean weekly income of these 50 workers is less than 448 pesos?
The owner of the factory that sells a particular bottled fruit juice claimed that the
average capacity of their product is 250 ml. To test the claim, a consumer group gets
a sample of 100 such bottles, calculates the capacity of each bottle, and then finds
the mean capacity to be 248 ml. The standard deviation s is 5 ml. Use α = 0.03. Will
you reject or not to reject the claim.
define covariance of two random variables x and y and show that cov(ax + b,cy+d)
A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from this population.
A. List all the possible samples and the corresponding mean.
B. Construct the sampling distribution of the sample means.
The general view is that there is no preferred method or approach to teaching and learning mathematics. The important thing is to make sure that you as the teacher differentiate your lesson/teaching based on ability and ensure that you provide sufficient support to learners in your class. Briefly discuss the following strategies and explain how each supports the effective teaching of mathematics. a) Inquiry approach (3) b) Brainstorming approach (3)
Volume of the Solid (Shell Method)
Given the bounded region is revolved about y axis, find the volume of the solid generated.
The region below the curve y= Inx, above the x-axis, and to the left of the line x=4.
