Question

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21 From a population of cans of coffee marked "12 ounces." a sample of 25 cans is selected and the contents of each can are weighed. The sample revealed a mean of 118 ounces with a standard deviation of 0.5 ounces. Test to see if the mean of the population is at least 12 ounces. Assume the population is normally distributed) Use a 05 level of significance. What is the value of test statistic? Not yel www.ed Point out of 100 Hay question Select one O At-2 OC.125 ODZ-25

Answer 1

Answer(1):

We have to test

H₀: p=0.5

H₁: p≠0.5

Total number of observations = n =800

The sample proportion is

p= 0.58

The test statistic to test the above hypothesis is

p - P N P(1-P)/n

0.58 -0.5 z 0.5(1 – 0.5)/900

N 0.08 0.01768

z = 4.52

The value of test statistic = 4.52

Hence the correct option is D. 4.52

Answer(2):

We have

n=25

Sample mean,

i = 11.8

The standard deviation of sample,

s 0.5

We have to test

H₀:

ZI11

H₁:

μ< 12

The test statistic to test the above hypotheses is

i M t = swn

11.8 - 12 t= 0.57. V25

-0.2 t= 0.1

t= -2

The value of test statistic for above test is t=-2

Hence the correct option is A. t=-2

Answer(3):

We have

n=16

Sample mean,

T = 78.6

The variance of sample = 64

The standard deviation of sample,

8=S

We have to test

H₀:

H = 75

H₁:

μ 75

The test statistic to test the above hypotheses is

i M t = swn

t= 78.6-75 8 8/216

3.6 t 2

t = 1.8

The value of test statistic for above test is t=1.8

Hence the correct option is B. t=1.80

Answer(4):

We have to test if the average grade in the final examination in statistic is going to be at least 85. So the null and alternative hypothesis will be

H₀:

S8 <11

H₁:

μ< 85

Hence the correct option is C. H₀: µ≥85, H_a: µ<85