INTRODUCTION TO STATISTICS & DATA ANALYS
6th Edition
ISBN: 9780357420447
Author: PECK
Publisher: CENGAGE L
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Chapter 9.1, Problem 9E
A random sample of 10 houses heated with natural gas in a particular area is selected, and the amount of gas (in therms) used during the month of January is determined for each house. The resulting observations are as follows:
- Let μJ denote the average gas usage during January by all houses in this area. Calculate a point estimate of μJ.
- Suppose that 10,000 houses in this area use natural gas for heating. Let τ denote the total amount of gas used by all of these houses during January. Estimate τ using the given data. What statistic did you use to calculate your estimate?
- Use the given data to estimate p, the proportion of all houses that used at least 100 therms.
- Give a point estimate of the population median usage based on the given data. Which statistic did you use?
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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 researcher estimates that the average height of the buildings of 30 or more stories in a large city is at most 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At α = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582 What is the critical value of the t?
Chapter 9 Solutions
INTRODUCTION TO STATISTICS & DATA ANALYS
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