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2 years ago

What is the value represented by the letter A on the box plot of data?

Mathematics

2 answers:

jekas [21]2 years ago

4 0

Thee answer to your question is 5

tatuchka [14]2 years ago

4 0

Answer:

The value represented by the letter A on the box plot of data is 5.

Step-by-step explanation:

The set of data is

{5, 20, 40, 50, 50, 85}

In the given box plot,

A = Minimum value

B = First quartile

C = Median

D = Third quartile

E = Maximum value

Since the minimum value of the set is 5, therefore the value represented by the letter A on the box plot of data is 5.

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A random sample of 49 measurements from one population had a sample mean of 15, with sample standard deviation 5. An independent

kotykmax [81]

Answer:

Comparing the p value with the significance level $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.

Step-by-step explanation:

$\bar X_{1}=15$ represent the mean for sample 1

$\bar X_{2}=18$ represent the mean for sample 2

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=49$ sample size for the group 2

$n_{2}=64$ sample size for the group 2

$\alpha=0.01$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=49+64-2=111$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(15-18)-0}{\sqrt{\frac{5^2}{49}+\frac{6^2}{64}}}}=-2.897$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_{111}$

7 0

2 years ago

Express -23 in the form bi where b is a real number TIME SENSITIVE

balu736 [363]

Answer:

Step-by-step explanation:

i stands for square root of negative 1. If you multiple i and square root of 23 you will end up with the original

4 0

2 years ago

The value of y varies directly with x, and y = 18 when x = 12. find y when x = 132.

sveta [45]

This would be 198 because 12 times 1.5 equals 18 so when you multiply 132 by 1.5 you get 198

4 0

3 years ago

PLEASW HELP DUE AT 9:20

Bess [88]

Answer:

1 x 10^10

2 x 10^-10

7 x 10^-11

8 x 10^-11

Step-by-step explanation:

7 0

2 years ago

Manuel created a factor tree and wrote the prime factorization of 60 shown below.

Slav-nsk [51]

Answer:

The mistake made by Manuel was not reducing 4 as a product of its prime numbers. That is, $2\times 2 = 4$ . 4 is a composite number and a product of 2 prime numbers.

Step-by-step explanation:

The factors of a given entire numbers consists in simplifying it several times until an equivalent product of prime numbers is found. Let is show the procedure for 60:

1) $60$ Given

2) $15 \times 4 = 60$ Definition of multiplication.

3) $(5\times 3)\times (2\times 2) = 60$ Definition of multiplication.

4) $(2\times 2)\times (3\times 5) = 60$ Commutative property/Result.

The mistake made by Manuel was not reducing 4 as a product of its prime numbers. That is, $2\times 2 = 4$ . 4 is a composite number and a product of 2 prime numbers.

8 0

2 years ago

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