A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 439 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scehario. Answer 2 Points

If all the points on a scatterplot fall on a single line, then the relation between the variables is weak the variables are causally related the relation between the variables is perfect there is no relation between the variables

In a hypothesis test for the Pearson correlation coefficient, the null hypothesis is rejected when \( r=0 \) \( r<\alpha \) \( p<\alpha \) \( p=0 \)

Coffee consumption has been found to be negatively correlated with amount of sleep, with a correlation coefficient of 0.5 . How much can the coffee consumption account for the variance of amount of sleep? \( 0.5 \% \) \( 50 \% \) \( 0.25 \% \) \( 25 \% \)

Se obtuvieron los siguientes resultados para el punto de ebullición, en grados Celsius, de un compuesto de silicio: \( \mathbf{1 6 6} \), \( \mathbf{1 4 1 , 1 3 6 , 1 5 3 , 1 7 0 , 1 6 2 , 1 5 5 , 1 4 6 , 1 8 3 ,} \) \( \mathbf{1 5 7 , 1 4 8 , 1 3 2 , 1 6 0 , 1 7 5 y} \mathbf{1 5 0} \). Utilice la prueba de Kolmogorov- Smirnoff con un nivel de significancia de \( \mathbf{0 . 0 1} \) para probar la hipótesis nula de que los puntos de ebullición provienen de una población normal con una media \( \boldsymbol{\mu = 1 6 0}{ }^{\circ} \mathrm{C} \) y una desviación estándar \( \boldsymbol{\sigma = 1 0 ^ { \circ }} \mathrm{C} \)

Researchers who study the process of reading in children have discovered that better readers watch fewer hours of television. If a scatterplot of the data is drawn, the points on the graph would likely run from ___ left to right. upper; lower upper; upper lower; upper lower; lower