A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? (a) State the null and alternative hypotheses. (b) Calculate, correct to 2 decimal places, (i) the sample mean, x ; and (ii) the sample standard deviation, s. (c) Evaluate the appropriate test statistic. (d) Test these hypotheses at 0.05 level of significance.
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? (a) State the null and alternative hypotheses. (b) Calculate, correct to 2 decimal places, (i) the sample mean, x ; and (ii) the sample standard deviation, s. (c) Evaluate the appropriate test statistic. (d) Test these hypotheses at 0.05 level of significance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A sample of 12 radon detectors of a certain type was selected, and each was exposed to
100 pCi/L of radon. The resulting readings were as follows:
105.6
90.9
91.2
96.9
96.5
91.3
100.1
105.5
99.6
107.7
103.3
92.4
Does this data suggest that the population mean reading under these conditions differ
from 100?
(a)
State the null and alternative hypotheses.
(b)
Calculate, correct to 2 decimal places,
(i)
the sample mean, x ; and
(ii)
the sample standard deviation, s.
(c)
Evaluate the appropriate test statistic.
(d)
Test these hypotheses at 0.05 level of significance.
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