Question

For the following​ case, assume that the population standard deviation is known and decide whether use of the​ z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answer. The variable under consideration is very close to being normally​ distributed, and the sample size is 10. Choose the correct answer below. A. It is not reasonable to use the​ z-interval procedure in this case since it is very likely that with such a small sample size that there will be outliers in the sample. Knowing that the variable under consideration is very close to being normally distributed does not mean the sample is. B. It is reasonable to use the​ z-interval procedure in this case since both the sample is large​ (size 10 or​ greater) and the variable under consideration is very close to being normally distributed. C. It is reasonable to use the​ z-interval procedure in this case​ since, although the sample is small​ (size less than​ 15), the variable under consideration is very close to being normally distributed. D. It is not reasonable to use the​ z-interval procedure in this case because the sample is too small​ (size less than​ 15).

Answer 1

Answer:

B. It is reasonable to use the? z-interval procedure in this case? since, although the sample is small? (size less than? 15), the variable under consideration is very close to being normally distributed.

Step-by-step explanation:

answer b is considered to be correct because we know that the population is normal and the standard deviation is known, which allows using the interval z, the answer A is not correct because although the option to use the interval z is given, which is correct, the large sample is not favored, the answer C and D are incorrect because they both reject the use of the z interval and in d it is further rejected that although there is a normal distribution the sample is not, which is false