3.) A comparison was made in the interest of determining if...

3.) A comparison was made in the interest of determining if Oreo Double Stuf cookies really have double the amount of filling as a standard Oreo cookie. If we may assume that the traditional Oreo cookie has 3 g of \"stuf\" use a 1% level of significance to determine if the cookies are made correctly. Descriptive Statistics: Double Stuf Total Variable Count Mean StDev Double Stuf 79 6.1575 0.2957

Transcript

00:05 In this problem, the amount of fillings in grams is given inside 49 traditional cookies and 52 double stuffed cookies.

00:18 In the first question, it is asked to find the mean, maximum, minimum and standard deviation of the weights for traditional oreo cookies.

00:31 For traditional cookies, first we will find the summation x, that is.

00:36 Is the sum of all the values given.

00:41 Then we will find summation x squared.

00:44 Summation x is 142.

00:47 And summation x squared, that is the sum of the squares of all the values given, is 418 .22.

01:05 Now, as we know, the formula for mean x bar is summation x divided by n.

01:12 So this is equal to 142 divided by as the sample of traditional cookies is of 49 cookies.

01:25 So our n is equal to 49.

01:29 And therefore mean is equal to 2 .9.

01:40 Now we have to find the maximum and the minimum.

01:44 It can be clearly seen in the given data that the maximum for the traditional cookies is 3 .8 grams while the minimum, that is the minimum amount of filling in traditional cookies is 2 .1 grams.

02:10 Now we have to find this standard deviation.

02:13 The formula for standard deviation is under the root summation x square which we have found to be equal to 418 .22 minus n that is 49 multiplied by x bar square that is square of the mean mean we have computed to be equal to 2 .9 so it is 2 .9 square divided by n minus 1 our n is equal to 49 so n minus 1 is 49 minus 1 that is 48 so the standard deviation is equal to 0 .374.

03:25 Now in the next question it is asked to find the mean maximum minimum and standard deviation of the weights for double stuffed cookies.

03:38 For double stuff cookies first we will find summation x that is the sum of all the values given for double stuffed cookies which is equal to 299 .3 then we will find summation x squared that is the sum of the squares of the values given for double stuffed cookies, which is equal to 1748 .3.

04:13 Now we will use the formula for mean x bar equal to summation x divided by n.

04:19 So it is equal to 299 .3, which is our summation x divided by n.

04:30 And is the size of the sample which is given to be 52 for double stuffed cookies.

04:38 So mean is equal to 5 .756.

04:52 Now in the given data for double stuffed cookies, we can see the maximum amount of filling given is 6 .9.

05:03 So our maximum is 6 .9 while the minimum amount of filling given is 3 .3...

Question

Please give Ace some feedback