Cite a statistical experiment and its sample space

Given the sample 4, 14, −10, add one more sample value that will neither change the mean nor the variance. Round to two decimal places as necessary. If this is not possible, indicate "Cannot create sample".

A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 11 years. A survey of 62 companies reported in The Wall Street Journal found a sample mean tenure of 9.3 years for CEOS with a standard deviation of s = 4.4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.05. Your hypotheses are: H.:µ > 11 На: :и < 11 What is the test statistic for this sample?

Discuss the basic strategy for comparing the means of two populations based on a simple random paired sample.

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

What does statistically significance indicates?

Table 1 summarizes the demographic and baseline data. Since two independent groups were included, the baseline data between these two groups were compared and p values were included in this table. Please tell which specific statistical test was used for the comparison between number of intubation attempts and trauma. Your answer should be as specific as possible. For example, was the test two-sided or one-sided? Was the test for paired samples or not?

Describe a study in which you can use both nonparametric and parametric statistics. A researcher has participants expecting to receive either painful or mild electrical shocks during a study wait in a quarter-full waiting room with other participants. He then measures whether they choose to sit next to other participants or if they sit far away on their own. What is the best test to run for this study and why?

give an example of a study for which the independent sample t-test  is appropiate

A company that produces steel ingots has always made their ingots with a mean of 20 inches long. However, the plant manager is increasingly concerned that the machines might be producing the ingot too small. To test this thought, he takes a random sample of 10 ingots. The lengths of those ingots are below. 19.9, 19.8, 19.81, 19.85, 19.94, 20.01, 20.02, 19.93, 19.86, 19.92