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gulaghasi [49]
3 years ago
8

Stop and Shop sells 6 cases of Pepsi for $21.60. What is the constant of proportionality?

Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer: $3.60 per case

Step-by-step explanation: $21.60 divided by 6 = 3.60

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Steroids, which are dangerous, are sometimes used to improve athletic performance. A study by the National Athletic Trainers Ass
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At 95% confidence level, the difference between the proportion of freshmen using steroids in Illinois and the proportion of seniors using steroids in Illinois is -7.01135×10⁻³ < \hat{p}_1-\hat{p}_2 < 1.237

Step-by-step explanation:

Here we are required to construct the 95% confidence interval of the difference between two proportions

The formula for the confidence interval of the difference between two proportions is as follows;

\hat{p}_1-\hat{p}_2\pm z^{*}\sqrt{\frac{\hat{p}_1\left (1-\hat{p}_1  \right )}{n_{1}}+\frac{\hat{p}_2\left (1-\hat{p}_2  \right )}{n_{2}}}

Where:

\hat{p}_1  = \frac{34}{1679}

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z_{\alpha /2} at 95% confidence level = 1.96

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\frac{34}{1679}- \frac{24}{1366} \pm 1.96 \times \sqrt{\frac{ \frac{34}{1679}\left (1- \frac{34}{1679}\right )}{1679}+\frac{\frac{24}{1366} \left (1-\frac{24}{1366}   \right )}{1366}}

Which gives;

-7.01135×10⁻³ < \hat{p}_1-\hat{p}_2 < 1.237.

At 95% confidence level, the difference between the proportion of freshmen using steroids in Illinois and the proportion of seniors using steroids in Illinois = -7.01135×10⁻³ < \hat{p}_1-\hat{p}_2 < 1.237.

7 0
3 years ago
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