Answer:
The 90% confidence interval for the mean µ of the population of female runners.
( 65.0328 , 66.5672)
Step-by-step explanation:
<u>Step(i)</u>
Given A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches.
Given sample size is n = 12 <30 so small sample
Given sample mean (x⁻) = 65.80 inches
sample standard deviation (S) = 1.95 inches.
<u>Step(ii)</u>
Assume the population is approximately normal.
The 90% confidence interval for the mean µ of the population of female runners.
substitute all above interval
The degrees of freedom γ=n-1 = 12-1=11
From t- table = 1.363 at 90 % 0r 0.10 level of significance
on calculation , we get
(65.80 -0.7672 ,65.80 + 0.7672)
( 65.0328 , 66.5672)
Answer: The 25th term of the sequence is 75
Step-by-step explanation:
The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.
Tn = a + (n-1)d
Tn = The value of the nth term of the arithmetic sequence.
a = first term of the sequence.
d = common difference (difference between a term and the consecutive term behind it)
n = number of terms in the sequence.
From the information given,
a = 3
d = 5-3 = 7-5 = 2
We want to look for the 25th term, T25
So n = 25
T25 = 3 + (25-1)2 = 3+ 24×2
T25 = 3 + 72 = 75
All we need to do is 2400/700 = 3.43 (rounded) square ft. per person
Answer:
Step-by-step explanation:
Hope this helps!
Answer:
D is the correct answer
Step-by-step explanation:
Fifth row of Pascal pyramid is 1 , 5, 10, 10, 5 , 1
The expansion should always have n + 1 number of terms
Where n is the power