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?

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182719281726idn 182719281726idn

02-05-2022
Advanced Placement (AP)

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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?

Sagot :

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AFOKE88idn AFOKE88idn · Answer 1 · 2022-05-05T11:50:12-04:00

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

What is the t-interval?

When the sample size is small and the population standard deviation is unknown, then we will have to say that is when the t-interval is very useful.

Now, the z-interval for calculating confidence intervals becomes less reliable when the sample size is less than 30 i.e very small.

Now, since Mango the greater sample mean rating, and since each person rated the flavor on a numerical scale from 1 to 5, then we can say that the correct option is C; (-1.4, 2.6).

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Sagot :

What is the t-interval?

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