A random sample of size 30 is to be selected from a population that has a mean u = 54 and a standard deviation a of 11. (a) This sample of 30 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. O skewed right O approximately normal skewed left chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) 54 (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) 2.01 (d) What is the probability that this sample mean will be between 45 and 52? (Give your answer correct to four decimal places.) 0.8414 (e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.) .9936 to of the mean? (Give your answer correct to four decimal places.)

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.