Test the claim about the difference between two population means \( \mu_{1} \) and \( \mu_{2} \) at the level of significance \( \alpha \). Assume th samples are random and independent, and the populations are normally distributed. Claim: \( \mu_{1}=\mu_{2} ; \alpha=0.01 \) Population parameters: \( \sigma_{1}=3.3, \sigma_{2}=1.4 \) Sample statistics: \( \bar{x}_{1}=18, n_{1}=28, \bar{x}_{2}=20, n_{2}=30 \) Determine the alternative hypothesis. \( H_{a}: \mu_{1} \square \mu_{2} \) Determine the standardized test statistic. \( z=\square \) (Rousd to two decimal places as needed.) Determine the P-value. P-value = \( \square \) (Round to three decimal places as needed.) What is the proper decision?

According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of milk- \( 24.6,23.84,25.25,21,17.52,19.61,19.83,26.18,34.97 \), \( 29.9,28.59,20.57,26.94,27.24 \) At \( \boldsymbol{\alpha}=\mathbf{0 . 0 5} \), test for a significant difference by completing the following. Calculate the value of the test statistic ( 2 decimals).

According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of milk- \( 24.6,23.84,25.25,21,17.52,19.61,19.83,26.18,34.97 \), \( 29.9,28.59,20.57,26.94,27.24 \) At \( \boldsymbol{\alpha}=\mathbf{0 . 0 5} \), test for a significant difference by completing the following. Calculate the value of the test statistic ( 2 decimals).

2. En un convivio escolar, se contrató a un taquero que servia tantos tacos como quisiera cada alumno. Cada vez que salía una orden, el mesero anotaba el número de tacos que se pedia: Datos: \( 4,5,2,3,4,3,4,2,3,6,7,3,4,5 \) Se quiere calcular el rango, varianza y desviación estándar de estos datos. Datos: Rango: Varianza:

When is it appropriate to make inferences about a population based upon data collected from a sample when the sample is selected at random from the population of interest any time an experiment is conducted any time an observational study is conducted when a sample is selected from the population of interest

Gallons of milk- \( 24.6,23.84,25.25,21,17.52,19.61,19.83,26.18,34.97 \), \( 29.9,28.59,20.57,26.94,27.24 \) At \( \boldsymbol{\alpha}=\mathbf{0 . 0 5} \), test for a significant difference by completing the following. Calculate the value of the test statistic ( 2 decimals). What is the p-value?