Assume That a Simple Random Sample Has Been Selected from a Normally

question 21

Essay

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
-A large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. Twenty-five job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. Use a 0.05 level of significance to test the claim that this sample comes from a population with a mean score greater than 160.

---

Definitions:

Probabilistic Sampling

A sampling method where each member of the population has a known, non-zero chance of being selected in the sample.

Subjective

Subjective refers to concepts, opinions, or perspectives based on personal feelings, tastes, or opinions, rather than external facts.

Random Procedure

A method or process characterized by random or unpredictable elements, used in situations requiring nondeterministic outcomes.

Standard Deviation

A measure indicating the dispersion or variability of a set of data points from their mean, used in statistics to quantify the amount of variation.