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2 answers:
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Answer with Step-by-step explanation:
The number of marbles are as under
3 red , 3 green , 1 Lavender total = 7
Now to select five marbles from a total of 7 marbles such that at least 2 marbles are included are the sum of the following cases:
1) We select 2 exactly 2 red marbles from 3 reds and the remaining 3 marbles are selected from 4 of other colours
Thus
2)We select all the 3 red marbles and the remaining 2 are selected from the remaining 4 marbles
Thus the total number of ways are
<h2>Answer : (2.67, 3.53)</h2><h2></h2>
Step to step explanation:
Confidence interval for mean, when population standard deviation is unknown:
, where = sample mean
n= sample size
s= sample standard deviation
= Critical t-value for n-1 degrees of freedom
We assume the family size is normal distributed.
Given, n= 31 , , s= 1.42 ,
Critical t value for and degree of 30 freedom
= 1.697 [By t-table]
The required confidence interval:
Hence, the 90% confidence interval for the estimate = (2.67, 3.53)