Search & Filtering
15. I provide 5 chairs, one for each person that is going to wait in the line. In how many different ways can they stand in line?
DIRECTIONS: Determine the critical value and illustrate the rejection region under the
normal curve by using the given information.
4
Ha α Critical Value Illustration
1. p ≠ 0. 52 0.01
2. p > 0.35 0.10
3. p < 0.7. 0 0.05
4. p > 0.65 0.05
5. p ≠ 0. 46 0.01
‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the
cities they plan to visit. The number of hits daily is a normally distributed random variable
with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits?
b. What is the probability of getting fewer than 9,000 hits?
Suppose that the average outstanding credit card balance for your professionals is P11,200 with a standard deviation of P2,600. In a simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds P11,800?
Using a Truth table, determine the value of the compound proposition ((𝑝 ∨ 𝑞) ∧ (￢𝑝 ∨ 𝑟)) → (𝑞 ∨ 𝑟).
Find the finite population correction factor given the following:
a. N= 300, n= 50
b.
N= 2500, n= 100
C.
N = 150, n= 10
Find the equation of the tangent and normal lines to the curve y3-xy+x2=1 at (1,0)
Parameter, null hypothesis: in words:, alternative hypothesis in words, directional or non directional, level of significance: 1. The young engineers in a manufacturing company claim that the mean annual income is greater than php 500,000. Test the claim using 95% confidence level
Compute the z-statistic for each given claim (p), the observed proportion (p^), and the given
sample size (𝑛).
𝑝 = 0.53, 𝑝̂= 0.54, 𝑛 = 32
HYPOTHESIS TESTINGABOUT POPULATION MEAN 𝝁
USING THE CRITICAL VALUE APPROACH
The records of SCA Registrar show that the average final grade in Mathematics for STEM students is 91 with a standard deviation of 3. A group of student-researchers found out that the average final grade of 37 randomly selected STEM students in Mathematics is no longer 91. Use 0.05 level of significance to test the hypothesis and a sample mean within the range of 88 to 94 only.
A. State the hypotheses.
B. Determine the test statistic to use.
C. Determine the level of significance, critical value, and the decision rule.
D. Compute the value of the test statistic.
E. Make a decision.
F. Draw a conclusion.
