# Use the ruler to measure the thickness of a single page of the text

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The least-squares regression line is a model that describes the relationship between two variables. Now that you have read about regressions and hypothesis tests, you will collect data to create a least-squares regression to interpret.

Use the ruler to measure the thickness of a single page of the text. Which unit of measurement did you use and why?

I used millimeters to measure the thickness. A single page of the text was approximately 1/10 mm thick.

Grouping the pages (one page is one sheet), complete the following table:

No. of pgs.255075150200225

Thickness

Compute the least-squares regression line for your data.

Use your model to estimate the thickness of a single page of the text by letting x=1. Is the value you obtained reasonable?

Use your model to estimate the thickness of a single page of the text by interpreting the slope. Is the value you obtained reasonable?

What, if anything, could you do to improve the model?

Please complete the problems from Chapters 10 and 4 listed below.

Section 10.1 - numbers 18, 2, 35 a-c

1. Federal law requires that a jar of peanut butter that is labeled as containing 32 ounces must contain at least 32 ounces. A consumer advocate feels that a certain peanut butter manufacture is shorting customers by under filling the jars.

(a) Determine the null and alternative hypotheses

(b) Explain what it would mean to make a Type I error

(c) Explain what it would mean to make a Type II error

1. ________ __________ is a procedure, based on sample evidence and probability, used to test statements regarding a characteristic of one or more populations.

2. According to popcorn.org, the mean consumption of popcorn annually by Americans is 54 quarts. The marketing division of popcorn.org unleashes an aggressive campaign designed to get Americans to consume even more popcorn.

(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign.

(b) A sample of 800 Americans provide enough evidence to conclude that the marketing campaign was effective. Provide a statement that should be put out by the marketing department.

(c) Suppose, in fact, that the mean annual consumption of popcorn after the marketing campaign is 53.4 quarts. Has a Type I or Type II error been made by the marketing department? If they tested the hypothesis at the a = 0.05 level of significance, what is the probability of making a Type I error?

Section 10.3 - numbers 8

1. To test H_(0? ) ?=4.5 versus H_(1? ) ?>4.5, a simple random sample of size n = 13 is obtained from the population that is known to be normally distributed.

(a) if x ? = 4.9 and s = 1.3, compute the test statistic.

(b) Draw a t-distribution with the area that represents the P-value shaded.

(c) Approximate and interpret the P-value.

(d) If the researcher decides to test this hypothesis at the ? = 0.1 level of significance, will the researcher reject the null hypothesis? Why?

1. To test H_(0: ) ?=45 versus H_(1: ) ??45, a simple random sample of size n = 40 is obtained.

(a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why?

(b) If x ? = 48.3 and s = 8.5, compute the test statistic.

(c) Draw a t-distribution with the area that represents the P-value shaded.

(d) Determine and interpret the P-value.

(e) If the researcher decides to test this hypothesis at the ? = 0.01 level of significance, will the researcher reject the null hypothesis? Why?

(f) Construct a 99% confidence interval to test the hypothesis.

Section 4.1 - numbers 24

1. Foe the 41 nations that participated in TIMMS, the correlation between the percentage of students who skipped class at least once in the past month and the mean score on the exam was -0.52. Dose this suggest there is a linear relation between attendance and achievement score? Write a sentence that explains what this result might mean.
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