A business with 5 copy machines keeps track of how many copy machines need service on a given day.It believes this is binomially distributed with a probability of p = 0.2 of each machine needing service on any given day.It has collected the following based on a random sample of 100 days. Given this information,assuming that all expected values are sufficiently large to use the classes as shown above,the critical value based on a 0.05 level of significance is 9.4877.

Question

A business with 5 copy machines keeps track of how many copy machines need service on a given day.It believes this is binomially distributed with a probability of p = 0.2 of each machine needing service on any given day.It has collected the following based on a random sample of 100 days.  Given this information,assuming that all expected values are sufficiently large to use the classes as shown above,the critical value based on a 0.05 level of significance is 9.4877.

Quizplus · Accepted Answer

Since the sample size is sufficiently large (n = 100) and the expected values are sufficiently large (np = 20), we can use the normal approximation to the binomial distribution. With a p-value of 0.05 and a two-tailed test, the critical value is approximately 1.96. Therefore, the statement that the critical value is 9.4877 is false.

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