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HACTEHA [7]
4 years ago
7

Ms. Winter makes homemade bath soaps and bottles of lotion. In her inventory, she has 48 bath soaps and 64 bottles of lotion. Sh

e wants to use all of her inventory to make as many gift baskets as she can using the same number of bath soaps and the same number of lotion bottles in each gift basket.
Mathematics
1 answer:
Levart [38]4 years ago
5 0
She could put together baskets with 8 bath soaps and 8 bottles of lotion in each.

Hope this helps!
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Answer:

a. [0.137, 0.503]

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

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In which

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For this problem, we have that:

A sample of 25 students in the lab, of whom 8 smoke. So n = 25, \pi = \frac{8}{25} = 0.32

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{25}} = 0.137

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{25}}{119}} = 0.503

The correct answer is:

a. [0.137, 0.503]

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