MATHEMATICS COLLEGE

Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.City A: {4, 3.5, 5, 5.5, 4, 2}
City B: {5, 6, 3.5, 5.5, 4, 6}
(a) What is the mean monthly rainfall amount for each city?
(b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth.
(c) What is the median for each city?

Answers

Answer 1

Answer:

Answer:

City A: {2, 3.5, 4, 4, 5, 5.5}

City B: {3.5, 4, 5, 5.5, 6, 6}

Mean is the average.

Average of City A = 4 (2+3.5+4+4+5+5.5 = 24 and 24/6 = 4)

Average of City B = 5 (3.5+4+5+5.5+6+6 = 30 and 30/6 = 5)

Mean Absolute Deviation

Mean Absolute Deviation of City A = 0.8

Mean Absolute Deviation of City B = 0.8

Median is the middle (after putting it in order least to greatest)

Median of City A = 4

Median of City B = 5.25 (5+5.5 = 10.5 and 10.5/2 =5.25)

Step-by-step explanation:

hope this helps!

Related Questions

Professors often attempt to determine if the submissions by the students are genuine or copied off the web sources. The program that performs this task is only 95 % accurate in correctly identifying a genuine submission and 80% accurate in correctly identifying copies. Based on the past statistics, 15% of the student turned in copied work. If a work is identified as a copy by the program, what is the probability that it is indeed a sample of copied work.
-1+[(10-12)3 divided by (-16)] =
What is an equation of the line that passes through the points (3,4) and (5,8)
a home has a triangular backyard. The second angle of the triangle is 6 more than the first angle. The third angle is 14 more than three times the first angle. Find the angles of the triangular yard
In this question, you have a large circle A with a radius of 6.5cm and a small circle B with radius 2.3cm. Calculate the area of the two circles. Once you have calculated the areas, take the area of circle A and subtract the area of Circle B and that will give you the area of the purple shaded region.

Given that no additional deposits are made ,compare the balances of the two accounts after 10years? ( Round to the nearest dollar)

Answers

Answer:

I want the 8 points ty ty

Step-by-step explanation:

ty for the 8 points I really really appreciate it and also heart my comment ty!

Can someone please answer asap..ik it’s easy but idk lol

Answers

Answer:

Step-by-step explanation:

a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

I just wanted to say your room is beautiful lol

4(18)
2(9)

How do I solve this and what is the answer

Answers

I think you need to multiply 4 x 18 = 72
2x9 = 18
When you use parentheses like that, it means multiplying just as 4 • 18 or more commonly 4 x 18

Answer:

Answers are below

Step-by-step explanation:

All you have to do is multiply so,

4(18)

4*18 = 72

2(9)

2*9 = 18

GUYSSS PLSSS I GIVE BRAINLIESSTTTT

Answers

Answer:

4. is x = 9

but I don't know about 5. sorry.

Step-by-step explanation:

5x + 3 = 48

-3. -3

5x = 45

5. 5

x = 9

5(9) + 3 = 48

48 = 48

A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought in to the time repairs are completed. A random sample of 12 repair records showed the following repair times (in days): 5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.(a) H0: μ ≤ 5 days versus H1: μ > 5 days. At α = .05, choose the right option. Reject H0 if tcalc > 1.7960
Reject H0 if tcalc < 1.7960

b. Calculate the Test statistic.

c-1. The null hypothesis should be rejected.
i. TRUE
ii. FALSE

c-2. The average repair time is longer than 5 days.
i. TRUE
ii. FALSE

c-3 At α = .05 is the goal being met?
i. TRUE
ii. FALSE

Answers

Answer:

a) Reject H0 if tcalc > 1.7960

b) $t=(5.42-5)/((1.16)/(√(12)))=1.239$

c-1) ii. FALSE

c-2) ii.FALSE

c-3)i. TRUE

Step-by-step explanation:

1) Data given and notation

$\bar X=5.42$ represent the mean time for the sample

$s=1.16$ represent the sample standard deviation for the sample

$n=12$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

a) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less than 5 days, the system of hypothesis would be:

Null hypothesis: $\mu \leq 5$

Alternative hypothesis: $\mu > 5$

We don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=(\bar X-\mu_o)/((s)/(√(n)))$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Rejection zone

On this case we need a critical value that accumulates 0.05 of the area on the right tail. The degrees of freedom are given by 11. And we can use the following excel code to find the critical value : "T.INV(1-0.95,11)" and the critical value would be given by $t_(\alpha/2)=1.795$ .

And the rejection zone is given by:

Reject H0 if tcalc > 1.7960

b) Calculate the statistic

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

$t=(5.42-5)/((1.16)/(√(12)))=1.239$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=12-1=11$

Since is a one side test the p value would be:

$p_v =P(t_((11))>1.239)=0.121$

c-1. The null hypothesis should be rejected.

ii. FALSE

c-2. The average repair time is longer than 5 days.

ii. FALSE

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, and the true mean is not significantly higher than 5.

c-3 At α = .05 is the goal being met?

i. TRUE

We fail to reject the null hypothesis so then the goal is met.

The formula P=2L+2W represents the perimeter of a rectangle. In this formula, L is the length of the rectangle and w is the width. Solve the formula for W

Answers

Answer: P/2 - L = W

Step-by-step explanation:

P = 2L + 2W. We are isolating W. Subtract 2L from both sides to isolate the term first
P - 2L = 2W. Divide by 2 on both sides to isolate W.
P/2 - L = W

Other Questions

A reservation service employs six information operators who receive requests for information independently of one another, each according to a Poisson process with rate ???? = 2 per minute. a. What is the probability that during a given 1 min period, the first operator receives no requests? (Round your answer to three decimal places.) b. What is the probability that during a given 1 min period, exactly three of the six operators receive no requests? (Round your answer to five decimal places.)

Which function is a quadratic function?P(x)=2x(×^2+6)+1M(x)=-4(x+3)-2t(x)=-8x^2(x^2-6+1H(x)=3x(x-2)-4

You need to purchase juice for a party. The juice is sold for $3 per gallon or $2.50 per quart. You will need 12 oz for each of the 30 students in the class. How much juice will you need

Grace's walking rate is 1.5 meters per second. Her house is 90 meters from the fountain. How many seconds will it take her to reach the fountain?