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LuckyWell [14K]
3 years ago
9

According to the Department of Education, college students spend an average of 150 minutes per day on their phones with a standa

rd deviation of 75 minutes. Suppose a random sample of 36 college students is taken and the mean time is spent on phones is recorded.
(a) What is the probability that sample mean is less than 140 minutes per day?
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

the answer is in the question

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The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the average using the finite correction factor is:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}

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     =3.3\pm 1.96\times\frac{1.47}{\sqrt{183}}\times\sqrt{\frac{1500-183}{1500-1}}\\\\=3.3\pm 0.19964\\\\=(3.10036, 3.49964)\\\\\approx (3.1, 3.5)

Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

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