The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
Answer:
The next three terms are 10, 12.5 and 15
Step-by-step explanation:
I. As you can see 5 and 7.5 is came from 5, 5 + 2.5
So given y = 5 + 2.5( x - 1 ) when y is output, x is term
II. Perform x = 3, 4, 5
So y = 5 + 2.5( 3 - 1 )
= 5 + 5
3rd = 10
y = 5 + 2.5( 4 - 1 )
= 5 + 7.5
4th = 12.5
y = 5 + 2.5 (5 - 1)
= 5 + 10
5th = 15
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905,154 rounded to the nearest ten thousand is 910,000. This is because the 5 in the thousands place is equal to 5, and when the number is 5 or more, you round up. That’s why when you round that number to the nearest ten thousand, it is 910,000.
