Search & Filtering
Give reason whether the following statements are True or False.
(a) If the probability of non rejection of H0 when H1 is true is 0.4 then power of the test will be 0.6.
(b) If T1 and T2 are two estimators of the parameter θ such that Var(T1) = 1/n and Var(T2) = n then T1 is more efficient than T2.
(c) A 95% confidence interval is smaller than 99% confidence interval.
(d) If the level of significance is the same, the area of the rejection region in a two-tailed test is less than that in a one-tailed test.
(e) Non parametric tests are more powerful than the parametric tests.
Samples of three cards are drawn at random
from a population of eight cards numbered
from 1 to 8.
- Construct a histogram of the sampling
distribution of the means.
The numbers of workers of a new fast food restaurant with seven outlets are 9 10 9 11 13 12 and 8 compute the population mean population variance and population standard deviation use the long method
27y-8(dy/DX)³=0
1.Show that each of these conditional statements is a tautology by using truth tables.
a) (p∧q)→ p
b) p → (p∨q)
c) ¬p → (p → q)
d) (p∧q)→ (p → q)
e) ¬(p → q)→ p
f) ¬(p → q)→¬q
2.Refer to 1, Show that each of these conditional statements is a tautology by using Propositional Logic
A researcher knows that the average height of Filipino women is 1.53 m. A random sample of
26 women was taken and found to have a mean height if 1.56 m with a standard deviation of
0.1 m. Is there a reason to believe that the 26 women in the sample are significantly taller than
the others?
Determine the value of 𝑎 so that 𝑨 = 2𝒊 − 𝑎𝒋 + 𝒌 and 𝑩 = 4𝒊 − 2𝒋 − 2𝒌 are perpendicular.
Locating Percentiles under the Normal Curve
Solve the following question.
1.) Find the 99th percentiles of a normal curve.
2.) Find the 40th percentiles of a normal curve.
In a rectangular parallelepiped, the length and the width of the base are 12 in. and 9
in., respectively. Find the volume if the length of the diagonal of the solid is 25 inches.
Find the area that us inside r=4 and outside r=4-2sinθ
