A quality control expert at a drink bottling factory took a random sample of 9 bottles from a
production run of over 1,000 bottles and measured the amount of liquid in each bottle in the
sample. The sample data were roughly symmetric with a mean of 505 mL and a standard
deviation of 6 mL.
Based on this sample, which of the following is a 95% confidence interval for the mean
amount of liquid per bottle (in mL) in this production run?
Answers
Answer: It's in the screenshot
Step-by-step explanation:
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.
The other parameters are given as follows:
[tex]\overline{x} = 505, s = 6, n = 9[/tex]
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 505 - 2.306\frac{6}{\sqrt{9}} = 500.39[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 505 + 2.306\frac{6}{\sqrt{9}} = 509.61[/tex]
The 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).
More can be learned about the t-distribution at https://brainly.com/question/16162795
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Step-by-step explanation:
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The length and width of a rectangle are 4 feet and 3 feet, respectively. A similar rectangle has a width of 9 feet. What is the length of the second rectangle? A. 9 ft C. 14 ft B. 12 ft D. 16ft
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Wich scientific notation is correct?
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c
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A
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The length of an arc AB from the given circle with radius 6in is 15.7in
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = r theta
where
r is the radius = 6in
theta is the central angle = 150 degrees = 5/6π rad
Substitute
L = 6(5/6π)
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Learn more on length of arc here: https://brainly.com/question/2005046
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
1) D. 343.17
2) C but not sure
Step-by-step explanation:
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area of circle is πr²
area of semicircle is πr²/2
diameter=18
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?
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Answers
Answer:
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Step-by-step explanation:
(6+2)x 12 =96
Answer:
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Step-by-step explanation:
12(2+6)=96
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Answers
Answer:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answer:
80
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Answers
Answer:
1/2
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Answers
Answer:
a 7.2 inch nail
Step-by-step explanation:
using the Pythagorean theorem:
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Answer:
$840.5
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x=840.5
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Answer:
Option:D
According to question,
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Answers
Answer:
1,300.6224 cm2
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Answers
Answer:
The desired divisor is n = 21
Step-by-step explanation:
Let that number be n. Then:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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