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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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
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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