HELPP IAM BEING TIMED AND PLEASE EXPLAIN HOW YOU GOT THE ANSWER
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Answer:
98% confidence interval for the difference μX−μY = [ 0.697 , 7.303 ] .
Step-by-step explanation:
We are give the data of Measurements of the sodium content in samples of two brands of chocolate bar (in grams) below;
Brand A : 34.36, 31.26, 37.36, 28.52, 33.14, 32.74, 34.34, 34.33, 29.95
Brand B : 41.08, 38.22, 39.59, 38.82, 36.24, 37.73, 35.03, 39.22, 34.13, 34.33, 34.98, 29.64, 40.60
Also, represent the population mean for Brand B and let
represent the population mean for Brand A.
Since, we know nothing about the population standard deviation so the pivotal quantity used here for finding confidence interval is;
P.Q. = ~
where, = Sample mean for Brand B data = 36.9
= Sample mean for Brand A data = 32.9
= Sample size for Brand B data = 13
= Sample size for Brand A data = 9
=
= 3.013
Here, and
are sample variance of Brand B and Brand A data respectively.
So, 98% confidence interval for the difference μX−μY is given by;
P(-2.528 < < 2.528) = 0.98
P(-2.528 < < 2.528) = 0.98
P(-2.528 * <
< 2.528 *
) = 0.98
P( (Xbar - Ybar) - 2.528 * <
< (Xbar - Ybar) + 2.528 *
) = 0.98
98% Confidence interval for μX−μY =
[ (Xbar - Ybar) - 2.528 * , (Xbar - Ybar) + 2.528 *
]
[ ,
]
[ 0.697 , 7.303 ]
Therefore, 98% confidence interval for the difference μX−μY is [ 0.697 , 7.303 ] .
To solve this problem we must know that when any two lines intersect , a pair of opposite angles from the figure Will be equal
so that means that
we can subtract twenty from each side
now we can subtract like terms
so we can get the final answer as
so that means that
we can subtract twenty from each side
now we can subtract like terms
so we can get the final answer as
Answer:
hope its help brain least me
