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olga_2 [115]
2 years ago
8

A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of th

e mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 217, 218, and 218. Using α = 0.025, has the shelf life of the cake mix increased?
a. Yes, because computed t is less than the critical value.
b. Yes, because computed t is greater than the critical value.
c. No, because computed t lies in the region of acceptance.
d. No, because 217.24 is quite close to 216.
Mathematics
1 answer:
vodomira [7]2 years ago
6 0

Answer:

Option b.

Step-by-step explanation:

Sample size n = 9

sample mean = 217.222

Standard deviation s = 1.202

alpha a = 0.025

H0 : u = 216

H1 : u > 216 ( claim)

Now run a T test and result is :

Test statistic, t = \frac{(xbar-u)}{\frac{s}{\sqrt{n}}}

                     t = \frac{(217.222-216)}{\frac{1.202}{\sqrt{9}}}

                       = \frac{1.222}{0.40066}}

                     t = 3.0509

Critical value = t(a,n-1) = t(0.025,9-1)

                      = 2.306

Since t > critical value, Hence reject H0.

Option b. is the answer. Yes, because computed t is greater than the critical value.

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Answer:

The answer is A (i just took the test)

Step-by-step explanation:

Answer: The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment

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2 years ago
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Answer:

The Ford Mustang can travel at a faster rate.

Step-by-step explanation:

160/2 = 80/1   miles/hour -Ford Mustang

210/3 = 70/1    miles/hour - Toyota Corolla

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2 years ago
The number of pounds of dog food that a pet store has is represented by the equation y = negative 15 x + 430, where x represents
sertanlavr [38]

Answer:  B) 115 pounds

Step-by-step explanation:

Because x is the number of days passed, after 21 days, x = 21.

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a square painting has an area of 81x^2-90x-25. A second square painting has an area of 25x^2+30x+9. What is an expression that r
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Answer:

The answer in the procedure

Step-by-step explanation:

Let

A1 ------> the area of the first square painting

A2 ---->  the area of the second square painting

D -----> the difference of the areas

we have

A1=81x^{2}-90x-25

A2=25x^{2}+30x+9

case 1) The area of the second square painting is greater than the area of the first square painting

The difference of the area of the paintings is equal to subtract the area of the first square painting from the area of the second square painting

D=A2-A1

D=(25x^{2}+30x+9)-(81x^{2}-90x-25)

D=(-56x^{2}+120x+34)

case 2) The area of the first square painting is greater than the area of the second square painting

The difference of the area of the paintings is equal to subtract the area of the second square painting from the area of the first square painting

D=A1-A2

D=(81x^{2}-90x-25)-(25x^{2}+30x+9)

D=(56x^{2}-120x-34)

4 0
2 years ago
I was told that if I had perfect attendance, I would get an extra 4% in my check as a bonus. Therefore, if I earned $960.00 befo
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Answer:

Your total income with perfect attendance would be $998.40

Step-by-step explanation:

First you need to figure out how much the 4% bonus is by multiplying 4% by $960.

But first you need to convert 4% to a decimal so it becomes 0.04

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So you need to add $38.40 and $960 which will get you $998.40

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3 0
2 years ago
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