Answer: Mean = 20 and standard deviation = 4
Step-by-step explanation:
Let x represents the success of getting the correct answer.
Here, the total number of trials(n) = 100
The probability of getting the correct answer, p = 1/5
Thus, the mean of the number of correct answer,



Now, the standard deviation, 



Thus, First option is correct.
Answer:
A) H0 : μ = 100
H1 : μ < 100
B) 39.2
C) We fail to reject null hypothesis
D) If the professor increases the sample size the value of the test statistic will increase .
Step-by-step explanation:
sample variance ( s ) = 80
sample size = 50
At ∝ = 0.01 population variance ( σ ) < 100
<u>a) Hypothesis </u>
H0 : μ = 100 ( Null hypothesis )
H1 : μ < 100 ( Alternate hypothesis )
<u>b) Determine The correct test statistic </u>
x^2 = ( n-1 ) * s^2/σ^2
= ( 49 ) * 80^2 / 100^2
= 39.2
<u>C) Determine the conclusion of the test</u>
The P-value = 0.1596 ( calculated )
The conclusion of the test is that we fail to reject null hypothesis given that
P-value ( 0.1596 ) > ∝ ( 0.01 )
D) If the professor increases the sample size the value of the test statistic will increase .
Answer:
- 32/21 or - 1 11/21
Step-by-step explanation:
Answer:
8 people
Step-by-step explanation:
i don't know if this is correct but you have to divide 16 from 24. sorry if this is wrong im trying to do the best i can.