20 POINTS AND BRAINLEST A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a standard deviation of 7¢. If a new restaurant charges a price for iced tea that has a z-value of -1.25, then what is the tea’s actual cost? a. $1.00 c. $1.16 b. 89¢ d. $2.00 A student took two national standardized tests while applying for college. On the first test, SEE IMAGE. If he scored 630 on the first test and 45 on the second test, on which test did he do better? a. first test b. second test

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dfbustos dfbustos · Answer 1 · 2020-07-26T16:08:45+02:00

Answer:

1) [tex] x= \mu +z\sigma = 1.25 -1.25*0.07= 1.16[/tex]

The best answer woud be:

c. $1.16

2) If we find the z score for the first test we got:

[tex] z=\frac{630-475}{75}= 2.07[/tex]

And for the second test:

[tex] z=\frac{45-32}{6}= 2.17[/tex]

The z score for the second test is greater so then the answer would be:

b. second test

Step-by-step explanation:

For the first question:

For this case we have the following parameters are:

[tex]\mu = 1.25 , \sigma =0.07[/tex]

And we also know that the z score is [tex] z=-1.25[/tex] and we can use the z score formula given by:

[tex] z=\frac{X -\mu}{\sigma}[/tex]

And solving for x we got:

[tex] x= \mu +z\sigma = 1.25 -1.25*0.07= 1.16[/tex]

The best answer woud be:

c. $1.16

For the second question:

First test [tex]\mu = 475, \sigma =75[/tex]

Second test [tex] \mu= 32, \sigma=6[/tex]

630 for the first test and 45 for the second

If we find the z score for the first test we got:

[tex] z=\frac{630-475}{75}= 2.07[/tex]

And for the second test:

[tex] z=\frac{45-32}{6}= 2.17[/tex]

The z score for the second test is greater so then the answer would be:

b. second test