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Rainbow [258]
3 years ago
15

2. Adding to 20: Adrianna has 10 pieces of gum to share

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

Step-by-step explanation:33

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A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cer
ss7ja [257]

Using the t-distribution, it is found that since the <u>test statistic is less than the critical value for the right-tailed test</u>, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

At the null hypothesis, it is <u>tested if the average box of cereal does not contain more than 368 grams</u>, that is:

H_0: \mu \leq 368

At the alternative hypothesis, it is <u>tested if it contains</u>, that is:

H_1: \mu > 368

We have the <em>standard deviation for the sample</em>, hence, the t-distribution is used to solve this question.

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

In this problem, the values of the <em>parameters </em>are: \overline{x} = 372.5, \mu = 368, s = 15, n = 25.

Hence, the value of the <em>test statistic</em> is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}

t = 1.5

The critical value for a <u>right-tailed test</u>, as we are testing if the mean is greater than a value, with a <u>significance level of 0.05,</u> with 25 -1 = <u>24 df</u>, is of t^{\ast} = 1.71.

Since the <u>test statistic is less than the critical value for the right-tailed test</u>, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

You can learn more about the use of the t-distribution to test an hypothesis at brainly.com/question/13873630

6 0
2 years ago
A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the f
kirill [66]
Well for a rectangle, the area

A=Length x Width,
1764<span>=Length x Width,

Since </span><span>the width of the field is 13 m more than the length, the length will be equal to the with + 13, 
L=W+13,

</span>1764<span>=LW
</span>1764=(W+13)(W)
W=36 meters

They want the perimeters, so add them up

2W+2L
=2(36)+2(49)
=170 meters
8 0
2 years ago
A ladder is placed 5 feet away from a house. The ladder comes up to 12 feet on the side of the house. How long is the ladder? Pl
LuckyWell [14K]
Answer: A. 13ft

Explanation:

a^2 + b^2 = c^2
a = 5, b = 12

5^2 = 25, 12^2 = 144

25 + 144 = 169

Square root of 169 = 13
3 0
2 years ago
Read 2 more answers
Prove that 3:8 is equal to 12:32 and use a diagram
N76 [4]
3 times 4 =12 8 times 4=32
So 12:32 is the same as 3:8
3 0
3 years ago
Can someone help me please
antoniya [11.8K]

Answer:

6

Step-by-step explanation:

4 0
3 years ago
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