WK 7: Hypothesis Testing a. The allowable concentration of acetone in drinking water is 0.05 mg/L. With 64 samples you measure an average of 0.045 mg/L with a sample standard deviation of 0.02 mg/L. Can you say at the 90% confidence level that the water meets an acceptable standard? How many samples would you need to meet the standard at 99% confidence assuming the standard deviation stays the same? b. There is a rumor that Fairway gets first choice and hence better produce than C-town. At Fairway you measure 40 navel oranges and find an average weight of 0.4 kg with a sample standard deviation of 0.08 kg. At C-town you measure 30 navel oranges and find an average weight of 0.37 kg with a sample standard deviation of 0.06 kg. Can you say at the 95% confidence level that the C-town oranges are smaller?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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HWK 7: Hypothesis Testing
a. The allowable concentration of acetone in drinking water is 0.05 mg/L. With
64 samples you measure an average of 0.045 mg/L with a sample standard
deviation of 0.02 mg/L. Can you say at the 90% confidence level that the
water meets an acceptable standard? How many samples would you need to
the same?
meet the standard at 99% confidence assuming the standard deviation stays
-6
3
b. There is a rumor that Fairway gets first choice and hence better produce than
C-town. At Fairway you measure 40 navel oranges and find an average
weight of 0.4 kg with a sample standard deviation of 0.08 kg. At C-town you
measure 30 navel oranges and find an average weight of 0.37 kg with a
sample standard deviation of 0.06 kg. Can you say at the 95% confidence
level that the C-town oranges are smaller?
c. Repeat the above analysis if both sample sizes are half as big.
stopping_distance_....csv
&
7
F7
0
PrtScn
F8
8
Home
F9
(
9
R
X
27
End
F10
0
PgUp
F11
-
-S4 1
PgDn
F12
+
Transcribed Image Text:HWK 7: Hypothesis Testing a. The allowable concentration of acetone in drinking water is 0.05 mg/L. With 64 samples you measure an average of 0.045 mg/L with a sample standard deviation of 0.02 mg/L. Can you say at the 90% confidence level that the water meets an acceptable standard? How many samples would you need to the same? meet the standard at 99% confidence assuming the standard deviation stays -6 3 b. There is a rumor that Fairway gets first choice and hence better produce than C-town. At Fairway you measure 40 navel oranges and find an average weight of 0.4 kg with a sample standard deviation of 0.08 kg. At C-town you measure 30 navel oranges and find an average weight of 0.37 kg with a sample standard deviation of 0.06 kg. Can you say at the 95% confidence level that the C-town oranges are smaller? c. Repeat the above analysis if both sample sizes are half as big. stopping_distance_....csv & 7 F7 0 PrtScn F8 8 Home F9 ( 9 R X 27 End F10 0 PgUp F11 - -S4 1 PgDn F12 +
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