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Weather Forecasters Would Like to Report on Temperatures in Washington

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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. 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) Construct a 90% confidence interval for the difference between the population mean temperatures in December and January.
B) Can we conclude with 90% confidence that the mean temperatures in December and January are different?

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Definitions:

Radio Frequency (RFID) Tags

Small electronic devices that use radio waves to transmit data for the purpose of identifying and tracking objects.

Electricity Conduct

The ability of a material to allow the flow of electrical current through it; essential for the functioning of electronic devices and power transmission.

Technological

Relating to or involving technology, especially concerning the development, application, and impact of technological devices and systems.

Connected Refrigerator

A type of smart appliance that uses internet connectivity to offer additional features such as inventory tracking and remote control.

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