Weather Forecasters Would Like to Report on Temperatures in Washington

question 119

Essay

Weather forecasters would like to report on temperatures in Washington, DC. In particular, they would like to compare the temperatures in December to temperatures in January to help potential tourists understand whether there is a difference. They believe it is colder in January but want to conduct a test to support their assertion. The average December temperature in a random sample of 16 days is 35 and the average January temperature in a random sample of 20 days is 33. The standard deviations based on historic information are 4 for December and 5 for January.
A) Specify the competing hypotheses to determine if it is colder in January than in December.
B) Find the critical value(s) of the appropriate test at the 5% significance level.
C) Calculate the value of the test statistic.
D) Make a conclusion at the 5% significance level.

• A) Specify the competing hypotheses to determine if it is colder in January than in December.
• B) Find the critical value(s) of the appropriate test at the 5% significance level.
• C) Calculate the value of the test statistic.
• D) Make a conclusion at the 5% significance level.

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Definitions:

Anticipation Inventories

Stock held in anticipation of future demand or usage, allowing companies to meet customer orders without delay, often influenced by seasonal or forecasted demand increases.

Distribution Pipelines

Infrastructure used for transporting goods, utilities, or services from one point to another, often within a supply chain network.

Decoupling Inventory

Inventory kept in reserve to protect the production process from fluctuations in demand or supply, ensuring that operations can continue smoothly despite variability.

Consumption of Services

The process of using services provided by businesses or individuals, which can include anything from healthcare to recreational activities.