Answer:
(a)
(b)
(c)
Step-by-step explanation:
Number of juniors who attended prom,n(J)=28
Number of seniors who attended prom,n(S)=97
- Total of those who attended prom=125
Number of juniors who did not attend prom,n(J')=56
Number of seniors who did not attend prom,n(S')=19
- Total of those who attended prom=75
- Total Number of students=200
(a) P (a junior who did not attend prom)

(b)


(c)P (junior | attended prom)


Answer:
300 cupcakes
Step-by-step explanation:


Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let
be the average life expectancy of its batteries.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Critical one-tailed test value for 0.10 significance level :

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]
Answer:

Step-by-step explanation:
Given the function

We can find the inverse function by exchanging x and y, and then solve for y.

Replace x with y.

square both sides


Hence,
