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matilda67
22.05.2020 •
Mathematics
Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer samples 7 two-liter polycarbonate bottles from a large batch and measures the wall thickness (in mils) in each. The results are: 3.999, 4.037, 4.116, 4.063, 3.969, 3.955, and 4.091. It is desired to test H0 :μ = 4.0 versus H1 :μ ≠ 4.0.
a. Make a dotplot of the seven values.
b. Should a Student's t test be used to test H0? If so, perform the test. If not, explain why not.
c. Measurements are taken of the wall thicknesses of seven bottles of a different type. The measurements this time are: 4.065, 3.967, 4.028, 4.008, 4.195, 4.057, and 4.010. Make a dotplot of these values.
d. Should a Student's t test be used to test H0 :μ ( 4.0 versus H1 :μ ( 4.0? If so, perform the test. If not, explain why not.
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Ответ:
|b| < a
Step-by-step explanation:
if we put -3.4 in place of a and -3.6 in place of b for each equation we can see which is not true
1. a > b =
-3.4 > -3.6 true
2. |a| ≤ |b|=
|-3.4| ≤ |-3.6|
3.4 ≤ 3.6. true
3. b ≤ a
-3.6 ≤ -3.4 true
4. |b| < a
|-3.6| < -3.4
3.6 < 3.4 false