A company tested the lifetimes (in hours) of 7 light bulbs:820, 790, 800, 760, 810, 770, 850.Calculate the range, variance, and standard deviation.State whether the data shows high or low variability.

a. In all of the statistical tests we have learned in this course, finding a p-value lower than the alpha level is evidence to reject the null hypothesis. This statement is O TRUE O FALSE b. When the p-value is large you have proven the null hypothesis is true. This statement is O TRUE O FALSE c. A Type II error occurs when rejecting the true null hypothesis. This statement is O TRUE O FALSE d. Match the correct nonparametric methods. You want to see if prices are lower online than at a store. You choose 15 items and record the price both at the nearest store and the top hit online. A manager is curious if the NE store has larger daily sales on average than the NW store. The head of HR suspects that the average salary is different in at least one of the 5 different departments of the company. a. Sign Test for Paired-Samples b. Wilcoxon Test c. Sign Test for One-Sample d. Kruskal-Wallis Test e. Select all the tests that use a normal distribution ALWAYS to find the p-value. Wilcoxon Rank…

A fair die is rolled 120 times.The number 6 appears 28 times.Calculate the experimental probability of getting a 6, and compare it with the theoretical probability.State whether the die seems fair or biased based on the results.