1 answer:
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Given :
Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.
To Find :
How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.
Solution :
Ratio of people smiled by total number of people is :
Now, it is given that we have to use the given conditions.
Therefore, ratio will be same :
Therefore, number of smiles Nathan expect to return is 468.
Answer:
There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different
Step-by-step explanation:
Given that in previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.82 inches
But new balls showed mean of 92.6 inches with s = 1.72 inches
Sample size = 23
Since sample size is less than 30 and population std deviation is not know we use t test
(Two tailed test at 5% significance level)
Mean difference =
Std error of sample mean = s/sqrt n =
Test statistic t = mean diff/std error = -3.402
df = 23-1 =22
p value = 0.002559
since p value <5% we reject H0
There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different