Statistics Questions & Answers

In a foreign country, beginning teachers' salaries have a mean of \( \$ 52,950 \) with a standard deviation of \( \$ 4,290 \). Use the Empirical Rule ( \( 68-95-99.7 \) Rule) to answer the questions below. The percentage of beginning teachers' salaries between \( \$ 40,080 \) and \( \$ 65,820 \) is The percentage of beginning teachers' salaries less than \( \$ 57,240 \) is The percentage of beginning teachers' salaries between \( \$ 40,080 \) and \( \$ 52,950 \) is The percentage of beginning teachers' salaries between \( \$ 48,660 \) and \( \$ 52,950 \) is

A political campaign is interested in whether city 1 has more support for raising the minimum wage than city 2 . Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1 , a poll of 800 randomly selected voters found that 286 supported raising the minimum wage. In city 2 , a poll of 1000 randomly selected voters found that 316 supported raising the minimum wage. What type of hypothesis test should be performed? Select \( \hat{p}_{1}= \) Ex: 0.123 \( \hat{p}= \) Ex: 0.123 Test statistic \( = \) Ex: 0.12 \( p \)-value \( = \) Ex: 0.123 Does sufficient evidence exist to support the claim that the level of support in city 1 is higher than that of city 2 at the \( \alpha=0.1 \) significance level? Select \( \vee \)

A political campaign is interested in whether city 1 has less support for raising the minimum wage than city 2 . Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1 , a poll of 800 randomly selected voters found that 224 supported raising the minimum wage. In city 2 , a poll of 1000 randomly selected voters found that 271 supported raising the minimum wage. What type of hypothesis test should be performed? Select \( \hat{p}_{1}= \) Ex: 0.123 \( \hat{p}= \) Ex: 0.123 Test statistic \( = \) Ex: 0.12 \( p \)-value \( =0.123 \) Does sufficient evidence exist to support the claim that the level of support in city 1 is lower than that of city 2 at the \( \boldsymbol{\alpha}=0.01 \) significance level? Select \( v \)

A political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1 , a poll of 800 randomly selected voters found that 217 supported raising the minimum wage. In city 2 , a poll of 1000 randomly selected voters found that 235 supported raising the minimum wage. What type of hypothesis test should be performed? Select \( \hat{p}_{1}= \) Ex: 0.123 \( \hat{p}= \) Ex: 0.123 Test statistic \( = \) Ex: 0.12 \( p \)-value \( = \) Ex: 0.123 Does sufficient evidence exist to support the claim that the level of support differs between the two cities at the \( \alpha=0.01 \) significance level? Select \( v \)

Construct a \( 95 \% \) confidence interval for \( \mu \) if the sample size \( n=34 \), the sample mean \( \bar{x}=18.6 \), and the sample standard deviation \( s=4.2 \). Enter the confidence interval using no spaces between, and use a lowercase \( m \) for the mean of the population and round to 3 decimals. For example, \( 112.380<m<118.370 \)

A political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1 , a poll of 800 randomly selected voters found that 316 supported raising the minimum wage. In city 2, a poll of 1000 randomly selected voters found that 369 supported raising the minimum wage. What type of hypothesis test should be performed? Select \( \hat{p}_{1}= \) Ex: 0.123 \( \hat{p}= \) Ex: 0.123 Test statistic \( = \) Ex: 0.12 \( p \)-value \( = \) Ex: 0.123 Does sufficient evidence exist to support the claim that the level of support differs between the two cities at the \( \alpha=0.05 \) significance level? Select \( v \)

A political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1 , a poll of 800 randomly selected voters found that 541 supported raising the minimum wage. In city 2 , a poll of 1000 randomly selected voters found that 635 supported raising the minimum wage. What type of hypothesis test should be performed? Select \( \hat{p}_{1}= \) Ex: 0.123 \( \hat{p}=\hat{p}_{2}= \) Ex: 0.123 Test statistic \( =123 \) \( p \)-value \( = \) Ex: 0.12 Does sufficient evidence exist to support the claim that the level of support differs between the two cities at the \( \alpha=0.01 \) significance level? Select \( v \)

6) In a race, the three fastest times were 12.13 seconds, 11.23 seconds and 12.31 secor Which one of the following orders of first, second and third is correct? \( 11.23,12.31,12.13 \) \( 12.31,12.13,11.23 \) \( 12.13,11.23,12.31 \) \( 11.23,12.13,12.31 \)

Find the error in constructing a \( 95 \% \) confidence interval for \( \mu \) if the sample size \( n=15 \), the sample mean \( \bar{x}=18.6 \), and the sample standard deviation \( s=4.2 \). Enter a number to 3 decimal places.

A political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1 , a poll of 800 randomly selected voters found that 584 supported raising the minimum wage. In city 2 , a poll of 1000 randomly selected voters found that 671 supported raising the minimum wage. What type of hypothesis test should be performed? Select \( \hat{p}_{1}= \) Ex: 0.123 . \( \hat{p}= \) Ex: 0.123 Test statistic \( =0.123 \) p-value \( = \) Ex: 0.123 Does sufficient evidence exist to support the claim that the level of support differs between the two cities at the \( \alpha=0.01 \) significance level? Select \( v \)