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Conduct Hypothesis Testing Using Small-Sample Tests.
An experimental study was conducted by a researcher to determine if new time slot has an effect on the performance of students in mathematics. Ten randomly selected students participated in the study. Toward the end of the investigation, a standardized assessment was conducted. The sample mean was X=75 and the standard deviation s=20. In the standardization of the test, the mean was 65 and the standard deviation was 10. Based on the evidence at hand, is the new time slot effective? Use α=0.05.
5,10,15,20. the next number is
Conduct Hypothesis Testing Using the Traditional Method
The Mathematics Department in a certain university is conducting a study to determine how long it takes its graduates to find a job. A sample of 80 graduates was surveyed and it was found out that the average time it has taken a graduate to find a new job is 2.5 months, with a standard deviation of 2 months. Is there a sufficient evidence to conclude that the graduate of this department takes on the average more than two months to find a job? Use the 90% confidence level.
Direction: Perform what is being asked. Follow the steps indicated in the first column of the table to complete the activity. In the second column, write your solution on the spaces provided. Situation: A population of PWD learners in 5 schools in a certain municipality of Quezon Province are () 9, 5, 6, 12, and 15. Suppose that two schools were selected as samples, determine the mean and variance of the sampling distribution of sample mean
Show, by the use of the truth table (truth matrix), that are ¬(P∨(Q∨(¬P→¬R))) and ¬P(Q→R) logically equivalent. (15 points)
Find all Eigen values and corresponding Eigen vectors for the matrix A=
0 0 3
2 5 0
2 3 0
Show, by the use of the truth table (truth matrix), that the (p ∨ q) ∨ [(¬p) ∧ (¬q)] is a contradiction.
An industrial company claims that the mean pH level of the water in a nearby river is 6.8. You randomly select 19 water samples and measure their pH level. The mean and standard deviation are 6.5 and 0.25, respectively. Is there enough evidence to reject the company’s claim at a significance level of 0.05?
1. Find the specific function values f(x, y) = x^2 + xy^3
(a) f(2, 3) (b) f(−3, −2)
Q1.a).A certain store has four ways of handling returns: cash refund, credit to account, exchange, or refusal. The manager claims that the four ways are equally probable.to test this hypothesis, 108 customers were sampled with the following results
Type
Cash
Credit
exchange
Refusal
Count
34
27
32
15
Does the data support the managers claim at 5 %. (6mks)
