8.1.25-T Question Help The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.3 minutes, and the standard deviation is 3.8 minutes. Complete parts (a) through (c) A. The sample size needs to be less than or equal to 30. B. The sample size needs to be greater than or equal to 30. C. Any sample size could be used D. The normal model cannot be used if the shape of the distribution is unknown. (b) What is the probability that a random sample of n 45 oil changes results in a sample mean time less than 15 minutes? The probability is approximately 0.0109 (Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager. There is a 10% chance of being at or below a mean oil-change time of minutes. (Round to one decimal place as needed.)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.