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Step2247 [10]
3 years ago
9

A box of cereal states that there are 90 calories in a 3/4 cup serving.What is the unit rate for calories per? cup? How many cal

ories are there in 4 cups of the? cereal
Mathematics
1 answer:
atroni [7]3 years ago
5 0

Answer:   unit rate for calories per cup = 120

calories in 4 cups of cereal = 480


Solution:

Total number of calories in a box of cereal = x calories

Calories in 3/4 cup serving = 90

How many calories in 4 cups = c

How many calories per cup = x

Unitary method


Cups                        Calories

3/4                            90

 1                                 x

Corss multiply

3/4 * x = 90 * 1

x = 90 * 4/3

x =  120 calories


Now for 4 cups,

Cups                calories

1                         120

4                          c  


(Cross multiply)      

1 * c = 120 * 4

c =   480 calories answer                    


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One stats class consists of 52 women and 28 men. Assume the average exam score on Exam 1 was 74 (σ = 10.43; assume the whole cla
Svetllana [295]

Answer:

(A) What is the z- score of the sample mean?

The z- score of the sample mean is 0.0959

(B) Is this sample significantly different from the population?

No; at 0.05 alpha level (95% confidence) and (n-1 =79) degrees of freedom, the sample mean is NOT significantly different from the population mean.

Step -by- step explanation:

(A) To find the z- score of the sample mean,

X = 75 which is the raw score

¶ = 74 which is the population mean

S. D. = 10.43 which is the population standard deviation of/from the mean

Z = [X-¶] ÷ S. D.

Z = [75-74] ÷ 10.43 = 0.0959

Hence, the sample raw score of 75 is only 0.0959 standard deviations from the population mean. [This is close to the population mean value].

(B) To test for whether this sample is significantly different from the population, use the One Sample T- test. This parametric test compares the sample mean to the given population mean.

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Null hypothesis: Sample is not significantly different from population

Alternative hypothesis: Sample is significantly different from population

Having gotten T- cal, T- tab is found thus:

The Critical (Table) t value is found using

- a specific alpha or confidence level

- (n - 1) degrees of freedom; where n is the total number of observations or items in the population

- the standard t- distribution table

Alpha level = 0.05

1 - (0.05 ÷ 2) = 0.975

Checking the column of 0.975 on the t table and tracing it down to the row with 79 degrees of freedom;

The critical t value is 1.990

Since T- cal < T- tab (0.559 < 1.990), refute the alternative hypothesis and accept the null hypothesis.

Hence, with 95% confidence, it is derived that the sample is not significantly different from the population.

6 0
3 years ago
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