Which of the following hypothesis is considered one tail test? O a. HO: μ> 80 O b. HO: μ #80 O c. H1: μ ≥ 80 O d. HO: μ ≥80 and H1: µ< 80

A set of data is found to have a µ = 8 and a o = 3. What is o? for this data set? Suppose each data value was multilplied by 3. What is u of the resulting data set? What is o of the resulting data set? What is o of the resulting data set?

The calibration of a scale is to be checked by weighing a 11 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with o = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? Ho: H = 11 Ha: u + 11 Ho: H + 11 H3i H 11 a (b) With the sample mean itself as the test statistic, what is the P-value when x = 10.83? (Round your answer to four decimal places.) What would you conclude at significance level 0.01? Conclude that the true mean measured weight differs from 11 kg. Conclude that the true mean measured weight is the same as 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 10.9? (Round your answer to…

Your friend at UCSB claims that Cal Poly students are tall. He looks up the average height of people in the United States and finds that it is 65 inches. You take a random sample of 54 CP students and find that their average height is 66 inches with a standard deviation of 1.8 inches.