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2. Average Senior High School annual cost of tuition fee for all private schools last year was Php43,700. A random sample of costs this year for 45 private schools indicated that the sample mean was Php45,800 and a sample standard deviation was Php5,600. At 0.01 level of significance, is there sufficient evidence to conclude that the cost increased? Solution: Step 1: State the hypothesis. 𝐻0: _____________________________________________________________ 𝐻1: _____________________________________________________________ Step 2: The level of significance and critical region. 𝛼 = ________ and the 𝑧𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 = __________ Step 3: Compute for the value of one sample t test. 𝑧𝑐𝑜𝑚𝑝𝑢𝑡𝑒𝑑 = _______ Step 4: Decision Rule. ________________________________________________________________ ___________________________________. Step 5: Conclusion: _______________
Consider a population consisting of 1,2,3,4 and 5. Supposed samples of size 3 are drawn from this population.Find the sampling distribution of the sample means.
what is the lowest valeu of the sample mean in this sampling distribution
Find a unit vector perpendicular to the plane through P(2, 1, -1), Q(-1, 1, 2) and R (1, -1, 2)
Let u=(-5, -2, 4), v= (3, 6, -5) and w = (-7, 1, -8)
a) Calculate (u × v).w and hence find the volume of the parallelepiped with adjacent sides u, v, and w.
b) Show that vector (u - projwu) and w are orthogonal.
c) Use the cross product to find the angle between u and w.
A. Directions: Check whether the sample is in each problem is sufficiently large enough to use the
Central Limit Theorem in normal approximation.
4. Professors from an organization for private colleges and universities reported that more than 6% of
professors attended a national convention in the past year. To test this claim, a researcher surveyed 80
professors and found that 5 attended a national convention in the past year.
5. An insurance industry report indicated that 30% of those persons involved in minor traffic accidents
this year have been involved in at least one traffic accident in the last five years. Believing it was too
large, an advisory group decided to investigate this claim. A sample of 200 traffic accidents this year
showed that 56 persons were also involved in another accident in the last five years. 6. A researcher
claims that 75% of college students would rather spend
A. Directions: Check whether the sample is in each problem is sufficiently large enough to use the
Central Limit Theorem in normal approximation.
1. A Public Information Survey investigated whether the majority of 40% of adults supported a tax
increase to help fund the local school system. Out of this, a random sample of 300 showed that 113
agreed with the tax increase.
2. It is believed that in the coming election, 65% of the voters in the Province of Kaunlaran will vote for
the administrative candidate for governor. Out of 1,170 randomly selected voters, 640 indicated that
they would vote for the administrative candidate.
3. Suppose that in the past, 42% of all adults favored capital punishment. Do we have reason to believe
that this proportion has increased if in a random sample of 150 adults, 80 favored capital punishment?
Write Z = 4√(3) e(7π/4)i in algebraic form
The present value of an annuity is R62 543,42. The time under onsideration is 10 years and the appli able interest rate is 16% per year, ompounded monthly. The future value of this annuity is [1℄ R162 612,89. [2℄ R1 333 517,61. [3℄ R306 521,61. [4℄ R581 913,00.
SHOW THAT |A`n B`|=|U|-|A|-|B|+|A n B|
