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For the given 2-sets of data . Find the test value (TV)
A
= 17.4 = 17 = 2.5
B
= 14.7 = 6 = 4.8
Two sets of data are given. Compute their Sd(variance difference)
X1
42 53 48 65 40 52
X2
39 45 40 58 42 47
A recent survey found that 68.6% of people own their homes. In a random sample of 150 heads of household, 92 responded that they own their homes. At a=0.01, does that suggest a difference for the proportion? Find the CV and compute the test value (TV) , and state your conclusion.
Consider the random event of tossing four coins once, then follow these steps:
1. List all the possible outcomes using the tree diagram.
2. Determine the sample space.
3. Determine the possible values of the random variables.
4. Assign probability values P(X) to each of the random variable.
5. Construct a probability histogram to describe the P(X).
Angelo jogged 10 times in 30 minutes around a circular track with a radius of 50 m. Find his average speed and average velocity.
A computer engineer identifies four ways that a certain job can be done. To determine how long it
takes operators to do the job when each of these methods is used, the engineer asks four operators
to do the job using the method A, another four operators to do the job using method B, and so on.
Each operator’s time (in seconds) is shown below:
A B C D
19 18 21 22
17 16 20 23
22 15 19 21
20 14 19 20
Construct the relevant analysis of variance table and test the hypothesis that the average time of all
operators are equal at 1% level of significance. (Given that F 0.01(3, 12) = 5.95)
in a group of 20 adults, 4 out of 7 women and 2 out of the 13 men wear glasses. What is the probability that a person chosen at random from the group is a woman or someone who wear glasses?
Sixteen smokers whose ages were between 50 and 65 years were randomly selected. Blood samples were taken from them. their cholesterol levels were determined and are presented below.181 287 240 256257 179 209 296211 231 171 248189 212 189 187Compute the following:a. Sample meanb. Sample variancec. Sample standard deviation
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Janina is the secretary to the president and she recieves a basic monthly pay ofP 30 000. She is granted a transportation allowance of P500.00 per month. Her deductions are 3.63% for SSS, P 250.00 for PhilHealth, P 4 167.00 + 25% overP 15 833.00 for withholding tax, and 2% for Pag-ibig. Compute her gross earnings and net pay for the month of November.
Myra is paid based on the number of pages she types. She is paid P 5.00 per page plus free meals. For the week, she typed 375 pages. The week being the last week of the month, deductions are made from employee's gross earnings equivalent to 4% of monthly earnings for SSS, P 10.50 for Medicare, she is paying at the rate of P 50.00 per week. Myra's earnings for the current month including the current week is P 8 000.00 Compute for Myra's take-home pay.
