A Rollercoaster’s auditors estimate that the average daily loss from those illegally riding without tickets is more than $300, but wants to determine the accuracy of this statistic.  The company researcher takes a random sample of losses over 64 days and finds that = $298 and s = $25.   a) Test at α = 0.05. Be sure you cover all steps: hypothesis, critical value, acceptance range, conclusion.     b) (Unrelated to a’s results) Construct a 90% confidence interval of losses.

Suppose you had obtained a test statistic of 2.45 (this is incorrect). What would the P-value be? Draw a conclusion based on a = 0.01. Select one: O a. 0.01 < P-value < 0.02, we fail to reject Ho and do not have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet for 6 weeks is not the same for men and women. O b. 0.005 < P-value < 0.01, we fail to reject Ho and do not have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet for 6 weeks is not the same for men and women. O c. 0.01 < P-value < 0.02, we reject Ho and have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet for 6 weeks is not the same for men and women. O d. 0.005 < P-value < 0.02, we reject Ho and have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet…

The Department of Agriculture wants to determine whether the mean yield per acre for a particular variety of soybeans is different this year compared to the historical avg yield of 520 bushels per acre. Thus, the null and alternative hypotheses are  Ho: mu = 520 Ha: mu is not = to 520 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 36 different acres. From this sample, you calculate a mean yield of 573 and a std deviation of 24.  Do you reject or not-reject the null hypothesis? Group of answer choices Do not reject the null hypothesis. Reject the null hypothesis.

Suppose data is collected to predict y from x. If the size of Sample ✓ Calculate the p-value if the test statistic is t = -1.38

2. A law school releases admissions data from past years. The median score on the LSAT for accepted students was 167. (Scores on the LSAT range from 120 to 180 points.) The first and third quartiles of LSAT scores for accepted students were 155 and 173 points, respectively. (a) Roughly sketch a histogram for what the LSAT scores for accepted students might look like based on the information given. (b) Suppose you are applying to this law school, and you read about an experiment for a new LSAT test-preparation course. Two hundred students participated. Of these, 100 were randomly chosen to take the course. They got an average score of 166 points, with an SD of 17 points. The other 100 students did not take the course and studied on their own. They got an average score of 165 points, with an SD of 18 points. Calculate the two-sample z test statistic and p-value for the null hypothesis that the course does not affect scores.

A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, µ, is less than 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 6.7 ounces and that the standard deviation is 0.4 ounces. Based on this information, answer the questions below.