Estadísticas preguntas y respuestas

10. Los ahorros mensuales, en pesos, de Gabriel son: \( 2000 ; 2500 ; 2000 ; 2000 ; 2000 ; 2500 ; 4000 ; 5000 ; 4000 ; 5000 ; 4000 \) y 3000 .

1. Below are some research situations. For each of them, indicate whether it is appropriate to carry out a correlation analysis or a regression analysis. Justify your answer. a) Academic performance at a University favors professional success b) Training time influences professional performance c) The objective is to estimate the time required to execute a given task using, for this purpose, the executor's training time d) The variation in the quantity demanded of cattle meat depends on the price that the meat has

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion \( p \) at the given level of significance \( \alpha \) using the given sample statistics. Claim: \( p \neq 0.26 ; \alpha=0.10 \); Sample statistics: \( \hat{p}=0.24, n=175 \) Find the \( z \)-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to two decimal places as needed.) B. The test cannot be performed. What is the result of the test? A. Fail to reject \( \mathrm{H}_{0} \). The data do not provide sufficient evidence to support the claim. B. Fail to reject \( \mathrm{H}_{0} \). The data provide sufficient evidence to support the claim. C. Reject \( \mathrm{H}_{0} \). The data do not provide sufficient evidence to support the claim. O. Reject \( \mathrm{H}_{0} \). The data provide sufficient evidence to support the claim. O. The test cannot be performed.

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion \( p \) at the given level of significance \( \alpha \) using the given sample statistics. Claim: \( p \neq 0.26 ; \alpha=0.10 \); Sample statistics: \( \hat{p}=0.24, n=175 \) C. \( H_{0}: p \leq 0.26 \) \( H_{a}: p>0.26 \) D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. The test cannot be performed. Find the \( z \)-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( z=\square \) (Round to two decimal places as needed.) B. The test cannot be performed.

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion \( p \) at the given level of significance \( \alpha \) using the given sample statistics. Claim: \( p \neq 0.26 ; \alpha=0.10 \); Sample statistics: \( \hat{p}=0.24, n=175 \) A. \( H_{0}: p=0.26 \) \( H_{a}: p \neq 0.26 \) B. \( H_{0}: p \geq 0.26 \) \( H_{3}: p<0.26 \) C. \( H_{0}: p \leq 0.26 \) \( H_{3}: p>0.26 \) D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical value(s) islare (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. The test cannot be performed.

Test the claim about the population mean, \( \mu \), at the given level of significance using the given sample statistics. Claim: \( \mu \neq 6000 ; \alpha=0.05 ; \sigma=373 \). Sample statistics: \( \bar{x}=5900, n=50 \) Identify the null and alternative hypotheses. Choose the correct answer below. \( \begin{array}{ll}H_{0}: \mu \leq 6000 & \text { B. } H_{0}: \mu \geq 6000 \\ H_{a}: \mu \neq 6000 & H_{a}: \mu \neq 6000\end{array} \) \( \begin{array}{ll}H_{0}: \mu \neq 6000 & H_{0}: \mu \neq 6000\end{array} \) \( H_{a}: \mu=6000 \) \( H_{0}: \mu=6000 \) \( H_{a}: \mu \neq 6000 \)

1. Thanksgiving is often an indicator that Fall has come and Winter is on the way. Below is a random sample of high temperatures in South Carolina on Thanksgiving Day from 1938 through 2020 in degrees Fahrenheit. 63 70 73

Test the claim about the population mean, \( \mu \), at the given level of significance using the given sample statistics. Claim: \( \mu \neq 7000 ; \alpha=0.05 ; \sigma=368 \). Sample statistics: \( \bar{x}=7100, n=49 \) Identify the null and alternative hypotheses. Choose the correct answer below. \( \begin{aligned} \text { A. } H_{0}: \mu \neq 7000 & \\ H_{a}: \mu \geq 7000 & \text { B. } H_{0}: \mu \leq 7000 \\ H_{0}: \mu \geq 7000 & H_{a}: \mu \neq 7000\end{aligned} \) \( H_{a}: \mu \neq 7000 \) \( H_{0}: \mu \neq 7000 \) \( H_{a}: \mu=7000 \)

Select all the correct answers. Which two hypotheses can be supported with quantitative data? People who eat low-protein diets are more likely to have less muscle mass. It's ethical to eat a vegetarian diet. Eeople are happier during the summer than during the winter. Eating less salt lowers blood pressure over time.

5. En una encuesta a 100 inversionistas, se observó lo siguiente: 5 sólo poseían acciones, 15 poseían solamente valores, 70 eran propietarios de bonos, 13 poseían acciones y valores, 23 tenían valores y bonos, 10 eran propietarios de acciones y bonos, 3 invertían en las tres cosas. a) ¿Cuántos inversionistas sólo tenían bonos? b) ¿Cuántos poseían acciones o valores? c) ¿Cuántos no invertían en bonos ni en acciones?