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Normal distributions

### Consider two independent populations that are normally distributions. A simple random sample of $$\displaystyle{n}_{{1}}={41}$$ from the first population showed $$\displaystyle\overline{{x}}_{{11}}={33}$$, and a simple random of size $$\displaystyle{n}_{{2}}={48}$$ from the second population showed $$\displaystyle\overline{{x}}_{{2}}={32}$$ Suppose $$\displaystyle{s}_{{1}}={9}{s}_{{1}}={9}{\quad\text{and}\quad}{s}_{{2}}={10}{s}_{{2}}={10}$$, find a 98% confidence interval for $$\displaystyle\mu_{{1}}−\mu_{{2}}\mu_{{1}}-\mu_{{2}}$$. (Round answers to two decimal places.) margin of error-? lower limit-? upper limit-?

Data distributions

Study design

Study design

Two-way tables

Scatterplots

### A nutritionist collects the weight of college students in the first semester, then again in the second semester. What is the best way to visually present this data? a) Line Graphs b) Scatterplots c) Bar Graphs d) Pie Charts

Normal distributions

### Explain some of the important characteristics of a normal distribution.

Data distributions

Scatterplots

### Make a scatterplot for the data. Height and Weight of Females Height (in.): 58, 60, 62, 64, 65, 66, 68, 70, 72 Weight (lb): 115, 120, 125, 133, 136, 115, 146, 153, 159

Normal distributions

Scatterplots

Two-way tables

Scatterplots

### Sketch a scatterplot where the association is linear, but the correlation is close to [r = 0].

Normal distributions

Two-way tables

Two-way tables

### When performing a $$\displaystyleχ^{{2}}$$ test of independent in a contingency table with r rows and c columns, determine the upper-tail critical value of the test statistic in each of the following circumstances: a. α=0.05, r=4 rows, c=5 columns b. α=0.01, r=4 rows, c=5 columns c. α=0.01, r=4 rows, c=6 columns d. α=0.01, r=3 rows, c=6 columns e. α=0.01, r=6 rows, c=3 columns

Normal distributions

Study design

Study design