if the base area of a cylinder is 15.6 square centimeters and the height is four centimeters what is the volume of the cylinder?
1 answer:
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<h2>Answer with explanation:</h2>
By considering the given information, we have
Null hypothesis :
Alternative hypothesis :
Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.
Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.
;
Test statistic :
i.e.
Degree of freedom : n-1 = 20-1=19
Significance level = 0.01
For two tailed, Significance level
By using the t-distribution table, the critical value of t =
Since , the observed t-value (7.25) is greater than the critical value (2.861) .
So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.
We conclude that there is some significance difference between the mean score for sober women and 35.0.
Answer: The required probability is 0.334.
Step-by-step explanation:
Since we have given that
N = 15 reservations
probability of reservations will not be used = 0.2
probability of reservations will be used = 1-0.2=0.8
Let X be the Binomial variable,that the number of reservations canceled.
We need to find the probability that more than 8 but less than 12 reservations.
So, it becomes,
Hence, the required probability is 0.334.