Statistics Questions & Answers

What is Jack's standardized score? Give your answer to two decimal places.

In 2018 , when she was a high school senior, Linda scored 680 on the mathematics part of the SAT. The distribution o math scores in 2018 was Normal with mean 520 and standard deviation 118 . Jack took the ACT and scored 26 on the mathematics portion. ACT math scores for 2018 were Normally distributed with mean 20.7 and standard deviation 5 . What is Linda's standardized score? Give your answer to two decimal places.

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. The standard deviation of the base price of a certain type of all-terrain vehicle is equal to \( \$ 338 \). Write the claim as a mathematical statement. \( \begin{array}{lll}\text { A. } \sigma \leq 338 & \text { B. } \sigma \neq 338 & \text { C. } \sigma=338 \\ \text { D. } \sigma<338 & \text { F. } \sigma \geq 338 & \text { F. } \sigma>338\end{array} \) Choose the correct null and alternative hypotheses below.

Use technology and a t-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the given sample statistics. Assume the population is normally distributed. Claim: \( \mu>77 ; \alpha=0.01 \quad \) Sample statistics: \( \bar{x}=79.7, \mathrm{~s}=2.8, n=27 \) What are the null and alternative hypotheses? Choose the correct answer below. \( \begin{array}{ll}\text { A. } H_{0}: \mu \geq 77 & \text { B. } H_{0}: \mu \neq 77 \\ H_{A}: \mu<77 & H_{A}: \mu=77\end{array} \) \( \begin{array}{ll}H_{0}: \mu \leq 77 & \text { D. } H_{0}: \mu=77 \\ H_{A}: \mu>77\end{array} \) What is the value of the standardized test statistic? The standardized test statistic is 5.0106 . (Round to two decimal places as needed.) What is the P-value of the test statistic?

Use technology and a \( t \)-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the given sample statistics. Assume the population is normally distributed. Claim: \( \mu>77 ; \alpha=0.01 \quad \) Sample statistics: \( \bar{x}=79.7, s=2.8, n=27 \) What are the null and altemative hypotheses? Choose the correct answer below. \( \begin{array}{ll}\text { A. } H_{0}: \mu \geq 77 & \text { B. } H_{0}: \mu \neq 77 \\ H_{A}: \mu<77 & H_{A}: \mu=77\end{array} \) \( \begin{aligned} \text { C. } H_{0}: \mu \leq 77 & \text { D. } H_{0}: \mu=77 \\ H_{A}: \mu>77 & H_{A}: \mu \neq 77\end{aligned} \) What is the value of the standardized test statistic?

Use technology and a t-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the given sample statistics. Assume the population is normally distributed. Claim: \( \mu>77 ; \alpha=0.01 \) Sample statistics: \( \bar{x}=79.7, \mathrm{~s}=2.8, n=27 \) What are the null and alternative hypotheses? Choose the correct answer below. \( \begin{array}{ll}\text { A. } H_{0}: \mu \geq 77 & \text { B. } H_{0}: \mu \neq 77 \\ H_{A}: \mu<77 & H_{A}: \mu=77 \\ \text { C. } H_{0}: \mu \leq 77 & \text { D. } H_{0}: \mu=77 \\ H_{A}: \mu>77 & H_{A}: \mu \neq 77\end{array} \)

\( \begin{array}{ll}\bar{x}=43,000 & s_{x}=2.2 \quad \bar{y}=42,000 \\ s_{y}=101 \quad r=-0.84 \\ \text { Send data to Excel }\end{array} \) Regression line equation: \( \hat{y}=\square \quad \times \quad \)

7. In a survey of 500 voters, 430 said they would vote for the same candidate again. What perc of the voters would vote the same way again?

A survey of all beings on planet Coraz had 40 beings surveyed altogether. If 16 preferred elentire juice to all other juices, what percent of beings in the survey preferred elentire juice?

A survey of all beings on planet Yoy found that 15 beings preferred umunt juice to all other juices. If 60 beings were surveyed altogether, what percent of them preferred umunt juice?