HP 50g Graphing Calculator User Manual

Page 597

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Page 18-30

Example 2 -- Data from two samples (samples 1 and 2) indicate that

⎯x

1

=

57.8 and

⎯x

2

= 60.0. The sample sizes are n

1

= 45 and n

2

= 75. If it is

known that the populations’ standard deviations are

σ

1

= 3.2, and

σ

2

= 4.5,

determine the 90% confidence interval for the difference of the population
means, i.e.,

μ

1

-

μ

2

.

Press

‚Ù—@@@OK@@@to access the confidence interval feature in the

calculator. Press

˜@@@OK@@@ to select option 2. Z-INT: μ 1 – μ2.. Enter the

following values:

When done, press

@@@OK@@@. The results, as text and graph, are shown below:

The variable

Δμ represents μ 1 – μ2.

Example 3 – A survey of public opinion indicates that in a sample of 150
people 60 favor increasing property taxes to finance some public projects.
Determine the 99% confidence interval for the population proportion that would
favor increasing taxes.

Press

‚Ù—@@@OK@@@to access the confidence interval feature in the

calculator. Press

˜˜ @@@OK@@@ to select option 3. Z-INT: μ 1 – μ2.. Enter the

following values:

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