Question

The marketing director for an ice cream company investigated whether there was a difference in preference for two new ice cream flavors—cotton candy and mango. Each participant from a large group of people was randomly assigned to taste one of the two flavors. After tasting, each person rated the flavor on a numerical scale from 1
1
to 5
5
, where 1
1
represented strongly dislike and 5
5
represented strongly like. A two-sample t
t
-interval for a difference between means (cotton candy minus mango) was constructed. Based on the interval, there was convincing statistical evidence of a difference in population mean flavor ratings, with mango having the greater sample mean rating. Which of the following could be the constructed interval?

Answer 1

The constructed interval for the rating of the ice cream mango and cotton candy is (-1.4-2.6). The correct option is C.

What is t-interval?

When the sample size is small and the population standard deviation is unknown, the T interval is useful.

The Z-interval for calculating confidence intervals becomes less reliable when the sample size is very small (n=30).

And this is where the T-interval comes in.

Thus, the correct option is C,  (-1.4-2.6).

Learn more about t-interval

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