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5. A manufacturer believes exactly 8% of its product contain at least one minor flaw. Suppose a company researcher wants to test this belief. The researcher randomly selects a sample f 200 products inspects each item and determine that 33 items have at least one minor flaw. Test at 10% level of significance.
What is the image (range) of the function that assigns the square of an integer to this integer
1. It has been found from experience that the mean breaking strength of a brand of thread is 500 grams. With a S.D of 40gms. From the supplies, received during the last month, a sample of 16 pieces of thread was tested which showed a mean strength of 450 grams. Can we conclude that the thread supplied is inferior.
Two tetrahedral die with faces labelled 1,2,3and 4are thrown and the number on which each leads in noted the score is the sum of these two number.find the probability that (a)the score is even in seat at least one die lands on a 3
(b)at least one die lands on a 3,given that the score is even
The mean of 5 observations is 15 and the
variance is 9. If two more observations
having values – 3 and 10 are combined
with these 5 observations, what will be the
variance of the
7 observations ?
A random sample of voters from New Delhi, is classified by age group, as shown by the
following data : (10)
Age Group Frequency
18 – under 24 17
24 – under 30 22
30 – under 36 26
36 – under 42 35
42 – under 48 33
48 – under 54 30
54 – under 60 32
60 – under 66 21
66 – under 72 15
a. Calculate the mean for this data.
b. Calculate the mode for this data.
c. Calculate the standard deviation for this data.
If cos(A-B) = cos 15° and cos(A+B)= cos 75° , the values of A and B. Hence without using a calculator and by using the sum and difference formula, show that cos 15° - cos 75° = 2 sin 45° sin 30°
For all integers a, b and c, if 𝑎|𝑏 and 𝑏|𝑐, then prove that 𝑎𝑏 2 |𝑐 3 .
1. Jamille walks from Julie Bell's house 20 blocks west and 10 blocks north to the house of Meredam. She then walks 11 blocks west and 2 blocks north to Jm's house. How far away is Julie Bell's house from Jm's house?
2. There are 15 scholarship to be apportioned among 238 English majors,502 Psychology majors,and 355 Math majors. Determine the standard divisor
Consider the population consisting of values {2,4,6}. List all the possible samples of size 2 which can be drawn with replacement.
