Download Statistics for the Sciences - Solutions for Exam 2 | MATH 3339 and more Exams Statistics in PDF only on Docsity!
Page: 2 of 7
1. (13 pts.) A study found the following data for right handed men and women: L > Rif the left
foot was larger than the right (by at least. half a shoe size), L = R if they had the same showsize
O for both feet, or I. < Rif the left foot was smaller than the right (by at least half a shoe sizc).
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Men
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Does the data indicate that thé gender has.a stro: eaten loot asymmetry? Use a — 5%.
Answer the question with_YES or :
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Ys 6 > 70 ye a
ae Lf ANOH
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te 53 > 140 fait ;
fh) 225 eee
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a effec an foot Cee ;
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tect on S
y effect on tet
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Page: 3 of 7
2. (24 pts.) A mechanic is adjusting a machine that produces balls. The machine has to be
calibrated to produce balls with diameter 5.5 inches. A sample of 100 parts has (for the diameters)
a sample mean of 5.5025 inches and sample standard deviation of 0.01 inches.
(a) Set up an appropriate hypotheses test, and decide at a significance level a = 0.05 whether
c¢ calibration is correct.
Answer the question with YES or NO.
‘NOTE: you can find the answer to part (b) first.]
lo (b) Compute the (approximate) p-value of the test.
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Page: 6 of 7
5. (13 pts.) A study is conducted along a river to decide whet!
microorganism is higher at the bottom than a
the river gave the following values:
her the concentration of a particular
t the surface. Mcasurements at six locations along
location L 2: 3 4 5 6
bottom concentration 2.3 2.2 1.8 2.6 2.3 27
surface concentration 2.3 1.8 1.6 19 2.5 Paul
on
}
HP cous
bs (WS ,
‘At 5% significance level, can we concludé {ro this data that the bottom concentration is
higher than the surface concentration?
Answer the question with YES or NO,
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Page: 7 of 7
6. (13 pts.) In order to determine the humidity level of a lawn, sensors arc installed at five locations.
The readings this morning gave the following values:
location | 1 2 3 4 5
O C
aie uunnidity | (28 1900) Ban VS AO
Find a 95% confidence interval for the true humidity level.
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