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.

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Definitions:

Nominal Data

Data classified into categories that cannot be ordered or ranked in any meaningful way.

Ordinal Data

A type of categorical statistical data representing order or rank, such as levels of satisfaction, without specifying the exact differences between ranks.

Null Hypothesis

A hypothesis that proposes there is no significant difference or effect and serves as the default assumption to be tested against an alternative.

Student-t

A distribution used in statistics that is appropriate for estimating population parameters for small sample sizes or unknown variances.