Mathematics, 22.04.2020 02:41 ldmcloon

Aren wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 51 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 9.1 and a standard deviation of 2.2. What is the 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies

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The 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is between 4.68 and 13.52.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the students' t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 51 - 1 = 50

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 50 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975([tex]t_{975}$ ). So we have T = 2.01

The margin of error is:

M = T*s = 2.01*2.2 = 4.42

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.1 - 4.42 = 4.68

The upper end of the interval is the sample mean added to M. So it is 9.1 + 4.42 = 13.52

The 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is between 4.68 and 13.52.

Answer from: Quest

Why you be expecting me to do your math u stupid butt? i ain't gonna but ima get points so you know what i'm sayin boii

Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

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