An insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them.

Explain what your interval means.

An insurance company checks police records on 582 accidents chosen at random and notes that teenagers were at the wheel in 91 of them.

b) Describe what your interval means.

Find the derivatives of the following functions at the points indicated.

$y=\sqrt{\left(1+\mathrm{e}^x\right)}$ at the point $(0, \sqrt{2})$

Javier and Rachel are going to construct confidence intervals from different simple random samples. Both confidence intervals will have level $95\%$. Javier will use a sample of size $50$ and Rachel will use a sample of size $100$. The samples will be drawn from the same population.

a. Which confidence interval will have the larger margin of error? Or will they both be the same?

b. Which confidence interval is more likely to cover the population mean? Or are they both equally likely to do so?

An insurance company checks police records on 582 accidents chosen at random and notes that teenagers were at the wheel in 91 of them.

c) Describe what " $95 \%$ confidence" means.

Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true? For a fixed margin of error, smaller samples will mean lower confidence.

An insurance company checks police records on 582 accidents chosen at random and notes that teenagers were at the wheel in 91 of them.

a) Make a $95 \%$ confidence interval for the percentage of all auto accidents that involve teenage drivers.

In his current job, Smith can work as many hours per day as he chooses, and he will be paid $\$ 1 / \mathrm{hr}$ for the first 8 hours he works, $\$ 2.50 / \mathrm{hr}$ for each hour over 8 . Faced with this payment schedule, Smith chooses to work $12 \mathrm{hr} / \mathrm{day}$. If Smith is offered a new job that pays $\$ 1.50 / \mathrm{hr}$ for as many hours as he chooses to work, will he take it? Explain.

An insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them.

Create a 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.

Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true?

For a fixed margin of error, smaller samples will me an lower confidence.

Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true?

For a fixed margin of error, larger samples provide greater confidence

Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true? For a fixed margin of error, larger samples provide greater confidence.

In a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans; 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.

Find that margin of error.

The proportion of adult women in the United States is approximately 51%. A marketing survey telephones 400 people at random. a) What proportion of the sample of 400 would you expect to be women? b) What would the standard deviation of the sampling distribution be? c) How man y women, on average, would you expect to find in a sample of that size?