[10 marks]A Carleton professor was interested in knowing whether those who work at the

university ordered more home delivery meals from restaurants during COVID than they did before.

She conducted a survey of a random sample of 6 people who worked in her department and asked them to estimate the number of food deliveries on a monthly basis before as well as during the pandemic. The data are shown in the table below. Assume the population data follow a normal distribution.

Staff member

Meals ordered monthly before the pandemic

Meals ordered monthly during the pandemic

STAFF

Bill 2.5 5.0

Judy 4.0 7.0

Sheila 12.0 18.0

Tom 6.0 5.5

Lou 9.5 11.5

Jamie 8.0 13.5

A. [6]Test at=0.05 whether the mean number of meals ordered monthly is different during versus before the pandemic?

B. [4]Construct a 99% confidence interval for the difference in the two means? What is your conclusion?