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Mashutka [201]
3 years ago
9

Answer the blank bits bc I can't get it ahwnqnsi​

Mathematics
2 answers:
madam [21]3 years ago
7 0
The answer to b is: 8a,5b and 3ab
mina [271]3 years ago
3 0

Answer:

b. 5 ( I think)

c. don’t know

e. -4 and 7

Sorry this one’s a lot harder

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A sample of 100 workers located in Atlanta has an average daily work time of 6.5 hours with a standard deviation of 0.5 hours. A
Readme [11.4K]

Answer:

t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398  

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

\bar X_{1}=6.5 represent the sample mean for Atlanta

\bar X_{2}=6.7 represent the sample mean for Chicago

s_{1}=0.5 represent the sample deviation for Atlanta

s_{2}=0.7 represent the sample standard deviation for Chicago

n_{1}=100 sample size for the group Atlanta

n_{2}=110 sample size for the group Chicago

t would represent the statistic (variable of interest)

\alpha=0.01 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

Null hypothesis:\mu_{1}=\mu_{2}

Alternative hypothesis:\mu_{1} \neq \mu_{2}

Since we don't know the population deviations for each group, 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}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

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.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398  

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

3 0
3 years ago
Read 2 more answers
Which of these is the algebraic expression for 5 times the sum of 2 and y
Vaselesa [24]
The answer is d because 2+y is the sum of 2 and y and then you multiply it by 5
8 0
3 years ago
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A car traveled 100 miles in 10 minutes, what was the car's average speed ?
SCORPION-xisa [38]

Answer:

10 miles per 1 minute

Step-by-step explanation:

100 miles / 10 minutes

100/10

10/1

10 miles / 1 minute

5 0
2 years ago
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A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate nu
Advocard [28]
I would be glad to help you, however what is the function?
8 0
3 years ago
Each lenght is in metres Calculate DC​
Gnom [1K]

Step-by-step explanation:

ED is greater than BC

the line from B to ED ^ (which i drew ) the point it touches ED name it X. so EX will be 2 ( ED-BC)(6-4).

then u have a triangle. EX, XB and EB.

you have length of EX(2) and u have hypotenuse. so u can calculate XB using Pythagoras theorem.

15.1²=2²+XB²

15.1²-2²=XB²

224.01=XB²

XB=14.97

since XB and DC are parallel ( a rectangle is forming XBCD) so DC is also 14.97

6 0
3 years ago
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