A Statistics Professor at a Large University Hypothesizes That Students

question 26

Multiple Choice

A statistics professor at a large university hypothesizes that students who take statistics in the morning typically do better than those who take it in the afternoon.He takes independently random samples,each of size 36,consisting of students who took a morning and an afternoon class,and compares the scores of each group on a common final exam.He finds that the morning group scored an average of 74 with a standard deviation of 8,while the evening group scored an average of 68 with a standard deviation of 10.The population standard deviation of scores is unknown but is assumed to be equal for morning and evening classes.Let µ₁ andµ₂ represent the population mean final exam scores of statistics' courses offered in the morning and the afternoon,respectively.Compute the appropriate test statistic to analyze the claim at the 1% significance level.

• A) t₇₀ = −2.811
• B) t₇₀ = 2.811
• C) z = −2.811
• D) z = 2.811

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Definitions:

Demand Fluctuations

Variations in the quantity of a product or service desired by consumers, often influenced by seasonality, trends, or economic factors.

Seasonal Inventory

Stock that is kept to meet the seasonal demand of products, which can vary throughout the year based on changes in customer behavior or events.

Demand Variability

Fluctuations in customer demand over a period, affecting inventory levels, supply chain strategies, and production schedules.

Sourcing Decision

The process of choosing suppliers or sources for goods and services, considering factors like cost, quality, reliability, and relationship.