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Nadya [2.5K]
2 years ago
5

The quotient of a number and -7 and decreased by 2 is 10 find the number

Mathematics
1 answer:
qwelly [4]2 years ago
6 0

Answer:

Step-by-step explanation:

-\frac{n}{7}-2=10\\ \\ -\frac{n}{7}=12\\ \\ n=-84

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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
What is the value of 6x (power of 2) when x=1.5
Yanka [14]
So you’d put 1.5 by the 6 so it’d be 6(1.5) to the power of 2. then you’d do 1.5*1.5=2.25*6=13.5

7 0
3 years ago
Read 2 more answers
15 POINTS!! WILL MARK BRAINLIEST!!! Suppose you draw one card from a standard deck of 52 cards. A standard deck of cards has 4 o
Trava [24]

Answer:

A standard deck of cards has 52 cards.

probability of king is 4/52 and probability of a queen is 4/52

so if you do 4/52 + 4/52 = 8/52

8/52 in simplest form is 2/13

Step-by-step explanation:

Hope this helps Have a nice day

5 0
3 years ago
What is the result when the number 39 is decreased by 29%?
romanna [79]

Answer:

27.69

Step-by-step explanation:

7 0
3 years ago
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En un día de temporal de lluvia el meteorólogo dijo en las noticias que la probabilidad de que lloviera ese día era del 70%. ¿Qu
drek231 [11]

Answer:

Vamos a definir:

100% probabilidad de lluvia = Es seguro que ese día va a llover.

0% probabilidad de lluvia = Es seguro que ese día no va a llover.

Ahora, los valores intermedios admiten una dualidad, es decir, es posible que llueva o que no.

Particularmente en el caso del 70% significa que:

Si tenemos un dado de 10 caras, con los números {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Y lo tiráramos, los resultados {1, 2, 3, 4, 5, 6, 7} indicarían que llueve.

Los resultados {8, 9, 10} indicarían que no llueve.

Entonces es mas probable que llueva, pero la probabilidad de que no llueva no es despreciable.

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3 years ago
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