An automobile manufacturer has given its van a 31.0 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs under the manufacturer's MPG rating. After testing 150 vans, they found a mean MPG of 30.8. Assume the population standard deviatlon is known to be 2.1 . Is there sufficlent evidence at the 0.02 level to support the testing firm's claim? Step 6 of 6 : Make the decision to reject or fail to reject the null hypothesis. Answer 2 Points < Fail to Reject Null Hypothesis

Bila diberikan sebuah sebaran normal dengan \( \mu=40 \) dan \( \sigma=6 \), hitunglah: a. Luas daerah di bawah 32 b. Luas daerah di atas 27 c. Luas daerah di antara 42 dan 51 d. Nilai x yang luas daerah di bawahnya \( 45 \% \) e. Nilai \( x \) yang luas daerah di atasnya \( 13 \% \)

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.

A national food brand wants to launch a new chip flavor. They run a test study and offer 3 new flavors in select stores around the country.What's the best measure for determining which flavor to launch?Total revenue before and after offering the new flavorsSocial media surveysSales data and frequency of repeat purchases for the new flavorsDiscussions with customers in the stores offering the new flavorsTotal sales for stores offering the new chips against those that are not

\( n = 5 \quad p ( \overline { x } > 500 ) \)

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