Una máquina produce piezas metálicas de forma cilíndrica. Se toma una muestra de piezas cuyos diámetros son \( \mathbf{1 . 0 1 , 0 . 9 7} \) \( \mathbf{1 . 0 3 , 1 . 0 4 , 0 . 9 9 , 0 . 9 8 , 0 . 9 9 , 1 . 0 1 \text { y } \mathbf { 1 . 0 3 }} \) centímetros. Utilice la prueba de kolmogorov - Smirnov con un nivel de significancia del \( \mathbf{5 \%} \) para probar la hipótesis de que el diámetro se distribuye en forma normal con una media de \( \mathbf{1 . 0 0} \) cm y una desviación estándar de \( \mathbf{0 . 0 2} \mathrm{cm} \).

Select all of the possible null hypotheses from the list below. \( p=0.37 \) \( p>0.84 \) \( p<0.42 \) \( p \neq 0.10 \)

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that \( 30 \% \) of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 76 stocks traded on the NYSE that day showed that 10 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3 . You use a significance level of \( \alpha=0.002 \). What is the test statistic for this sample? Use \( \hat{p} \) rounded to 4 decimal places. (Report answer accurate to 4 decimal places.) test statistic \( =-3.198^{\circ} \times \)

Question 2 ( 0.25 points) Retake question Choose the correct interpretation of a p-value. If the test is right-tailed, the \( p \)-value is the probability of observing a sample proportion as small as we saw in our sample, if the null hypothesis were true. If the test is right-tailed, the \( p \)-value is the probability of observing a sample proportion as large as we saw in our sample, if the null hypothesis were true. If the test is right-tailed, the \( p \)-value is the probability of observing a sample proportion as large as we saw in our sample. If the test is two-tailed, the \( p \)-value is the probability of observing a sample proportion as far away from the null value as what was observed in the current data set.

\( 11,16,12,7,23,9,5,5 \) What is the median of the data? B. 10 D. 11 D. 18

Find the mean of: \( 1.8,1.7,1.3,1.1,1.2,1.6,1.8 \) A. 1.6 B. 1.4 C. 1.8 D. 1.1 E. 1.5