Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain." The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0. A sample of 105 rainwater specimens had mean pH 5.43; standard deviation 0.54; and five-number summary 4.33, 5.05, 5.44, 5.79, 6.81. Macmillan Learning If the distribution is really N(5.43, 0.54), what proportion of observations would be less than 5.05? Give your answer rounded to four decimal places. proportion: If the distribution is really N(5.43, 0.54), what proportion of observations would be less than 5.79? Give your answer rounded to four decimal places. proportion: Do these proportions suggest that the distribution is close to Normal? Why?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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Emissions of sulfur dioxide by industry set off chemical
changes in the atmosphere that result in "acid rain." The
acidity of liquids is measured by pH on a scale of 0 to 14.
Distilled water has pH 7.0, and lower pH values indicate
acidity. Normal rain is somewhat acidic, so acid rain is
sometimes defined as rainfall with a pH below 5.0.
A sample of 105 rainwater specimens had mean pH 5.43;
standard deviation 0.54; and five-number summary 4.33,
5.05, 5.44, 5.79, 6.81.
© Macmillan Learning
If the distribution is really N(5.43,0.54), what proportion
of observations would be less than 5.05?
Give
your answer rounded to four decimal places.
proportion:
If the distribution is really N(5.43,0.54), what proportion
of observations would be less than 5.79?
Give your answer rounded to four decimal places.
proportion:
Do these proportions suggest that the distribution is
close to Normal? Why?
Transcribed Image Text:Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain." The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0. A sample of 105 rainwater specimens had mean pH 5.43; standard deviation 0.54; and five-number summary 4.33, 5.05, 5.44, 5.79, 6.81. © Macmillan Learning If the distribution is really N(5.43,0.54), what proportion of observations would be less than 5.05? Give your answer rounded to four decimal places. proportion: If the distribution is really N(5.43,0.54), what proportion of observations would be less than 5.79? Give your answer rounded to four decimal places. proportion: Do these proportions suggest that the distribution is close to Normal? Why?
Emissions of sulfur dioxide by industry set off chemical
changes in the atmosphere that result in "acid rain." The
acidity of liquids is measured by pH on a scale of 0 to 14.
Distilled water has pH 7.0, and lower pH values indicate
acidity. Normal rain is somewhat acidic, so acid rain is
sometimes defined as rainfall with a pH below 5.0.
A sample of 105 rainwater specimens had mean pH 5.43;
standard deviation 0.54; and five-number summary 4.33,
5.05, 5.44, 5.79, 6.81.
Macmillan Learning
Give your answer rounded to four decimal places.
proportion:
Do these proportions suggest that the distribution is
close to Normal? Why?
These proportions do not provide information
about Normality.
Yes, because the quartiles are very close to the
quartiles of the Normal distribution.
No, because the Normal distribution has a higher
third quartile and a higher first quartile.
No, because the Normal distribution has a lower
first quartile and a lower third quartile.
Transcribed Image Text:Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain." The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0. A sample of 105 rainwater specimens had mean pH 5.43; standard deviation 0.54; and five-number summary 4.33, 5.05, 5.44, 5.79, 6.81. Macmillan Learning Give your answer rounded to four decimal places. proportion: Do these proportions suggest that the distribution is close to Normal? Why? These proportions do not provide information about Normality. Yes, because the quartiles are very close to the quartiles of the Normal distribution. No, because the Normal distribution has a higher third quartile and a higher first quartile. No, because the Normal distribution has a lower first quartile and a lower third quartile.
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