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lian wants to advertise how many chocolate chips are in each big chip cookie at her bakery. she randomly selects a sample of 46 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 7.4 and a standard deviation of 2.7. what is the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies? assume the data is from a normally distributed population. round answers to 3 decimal places where possible.

Sagot :

The big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie is [8.325,6.474].

Given that,

The quantity of chocolate chips in each big chip cookie at Lian's bakery is something she wants to promote. She chooses a sample of 46 cookies at random and discovers that the average amount of chocolate chips per cookie has a standard deviation of 2.7 and a mean of 7.4.

We have to find what is the big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie.

We know that,

The formula is

=x±Z(S/√n)

=7.4±2.326(2.7/√46)

=8.325 and 6.474

Therefore, the big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie is [8.325,6.474].

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