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Stells [14]
3 years ago
7

A bicycle factory installs about 400 tires per day. Tires are installed Monday through Friday for 8 hours per day. The manager o

f the factory estimates the number of properly installed tires per week using the process below.
In the first hour of work on Monday, 49 out of 50 tires were properly installed.

So, there were about 8(49) = 392 properly installed tires on Monday.

Considering 5 working days per week, 5(392) = 1,960 is the number of tires properly installed in one week.

Which best explains the validity of the results?
Mathematics
2 answers:
lions [1.4K]3 years ago
8 0

Answer:

The results are likely invalid because it is unlikely that the tires installed in one hour on Monday will represent the entire population of tires.

Step-by-step explanation:

Out of 8 hours, do you really think one hour will represent it all?

This is why the resutls are likely invalid ( also I took the quiz )

Answer: The results are likely invalid because it is unlikely that the tires installed in one hour on Monday will represent the entire population of tires.

Snezhnost [94]3 years ago
5 0

Answer:

The results are likely invalid because it is unlikely that the tires installed in one hour on Monday will represent the entire population of tires.

Step-by-step explanation:

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2/17

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3 years ago
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
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Answer:

A sample of 1077 is required.

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 level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

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