You run a regression analysis on a bivariate set of data ( \( n=88 \) ), You obtain the regression equation \[ y=0.231 x-8.928 \] with a correlation confficient of \( r=0.38 \) (which is significant at \( \alpha=0.01 \) ), You want to predict what value (on average) for the explanatory variable will give you a value of 90 on the response variable. What is the predicted explanatory value? \( x=\square \)

Martina plays chess. She has played 15 games this season, out of which she has won nine. She has five more games to play. What will her success rate be in this season if she wins all five remaining games?

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:

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).

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 \( \alpha=0.05 \), test for a significant difference by completing the following. Calculate the value of the test statistic ( 2 decimals). What is the p-value?

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). What is the p-value?