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Chapter 7: Q. 17 (page 456)

Cold cabin? The dotplot shows the results of taking 300SRSs of 10temperature readings from a Normal population with 渭渭=50and 蟽蟽=3and recording the sample standard deviation sxsxeach time. Suppose that the standard deviation from an actual sample is sx=5掳F.sx=5掳F. What would you conclude about the thermostat manufacturer's claim? Explain your reasoning.

Short Answer

Expert verified

It is clear from the convincing evidence that the claim by the manufacturer is false.

Step by step solution

01

Given information

We need to find out whether the manufacturer's claim is true or false.

02

Explanation

A sample standard deviation of temperature for a simple random sample (SRS) with 10temperature readings is represented by each dot in the provided dotplot.

In the above dotplot, there are no dots above 5掳F, nor are there any dots to the right of 5. This means that the sample standard deviation is very unlikely to be s=5 when the population standard deviation is actually 蟽=3, and we'd be shocked if we got a sample with sample standard deviation s=5掳F.

This suggests that there is strong proof that the manufacturer's claim is untrue.

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