Chapter 1. Tutorial: Inference about a population mean – t confidence interval

1.1 Problem Statement

{59.588889,60.35,60.484615}
rand(0,2)
@m[$mindex]
{6.2552867,6.0016909,6.0930078}
@stddev[$mindex]
{2.0850956,1.4146121,1.6898963}
@stderror[$mindex]
{64.397128,63.334571,64.166583}
@upperm[$mindex]
{54.78065, 57.365429, 56.802648}
@lowerm[$mindex]
{9,18,13}
@N[$mindex]
{59.6,60.4,60.5}
@samplem[$mindex]
{6.26,6,6.09}
@samplestddev[$mindex]
{2.09,1.41,1.69}
@stddevm[$mindex]
{8,17,12}
@tvalue[$mindex]
{0.95,0.95,0.95}
@conflevel[$mindex]
{2.306,2.110,2.306}
@tv[$mindex]
{9.6,6,7.4}
@widthconfint[$mindex]
{66.585192,64.449872,65646471}
@subupperm[$mindex]
{52.592586,56.250128,55.32276}
@sublowerm[$mindex]
{0.99,0.99,0.99}
@subconflevel[$mindex]
{3.355,2.898,3.055}
@subtvalue[$mindex]
{14,8.1_8.2_8.3,10.3}
@subwidth[$mindex]

The composition of earth’s atmosphere may have changed over time. To try and discover the nature of the atmosphere long ago, we can examine the gas in bubbles inside ancient amber. Measurements on specimens of amber from the late Cretaceous era (75 to 95 million years ago) recorded the percent of nitrogen in these samples. The following is some output from an analysis of this data.

Mean Std Dev Std Err Mean Upper 95% Mean Lower 95% Mean N
$m $stddev $stderror $upperm $lowerm $N

1.2 Step 1

questions

Question 1.1

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Correct.
Incorrect.

Question 1.2

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Correct.
Incorrect.

Question 1.3

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Correct.
Incorrect.

1.3 Step 2

questions

Question 1.4

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Correct.
Incorrect.

Question 1.5

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Correct.
Incorrect.

Question 1.6

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Correct.
Incorrect.

Question 1.7

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Correct.
Incorrect.

1.4 Step 3

Suppose the values for the Upper 95% Mean and Lower 95% Mean are substituted as below:

Upper 99% Mean Lower 99% Mean
$subupperm $sublowerm

questions

Question 1.8

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Correct.
Incorrect.

Question 1.9

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Correct.
Incorrect.

Question 1.10

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Correct.
Incorrect.