An equation with an unknown value is shown 13/10 + 2/100= ?/100

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

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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

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1 1/12-7/10 greater than 1/2 or less than 1/2

seraphim [82]

Answer:

Greater

Step-by-step explanation:

1 1/12 - 7/10 = 4/5

4/5 is greater than 1/2

5 0

2 years ago

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Consider the statements below. Which are propositions? Mark all that apply.

allochka39001 [22]

The following statements are considered to be propositions:

2 + 2 = 7

There are more men than women at BYU-Idaho.

2 + 2 = 4

Ron hates spiders.

<h3>What is deductive reasoning?</h3>

Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions or from one or more premises (factual statements) that are assumed to be generally (universally) true.

<h3>What is a proposition?</h3>

A proposition can be defined as a type of statement (assertion) that is typically used to express an opinion or a judgement, with either a true or false answer.

This ultimately implies that, a proposition refers to a type of statement (assertion) that is either a true or false.

In this context, we can infer and logically deduce that the following statements are considered to be propositions:

2 + 2 = 7

There are more men than women at BYU-Idaho.

2 + 2 = 4

Ron hates spiders.

Read more on propositions here: brainly.com/question/24158168

#SPJ1

5 0

1 year ago

Which measure of central tendency does 4 represent for the data shown?

kondor19780726 [428]

Answer:

4 is the median

Step-by-step explanation:

The mean is the average, the median is the middle value when listed from smallest to largest, and the mode is the value that appears most often

4 is the middle value since they are listed from smallest to largest

4 is the median

7 0

3 years ago

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What is the measure of a base angle of an isosceles triangle if the measure of the vertex angle is 42 and the two congruent side

Sidana [21]

If vertex angle is 42, and the base angles are congruent, this is an isosceles triangle, they each measure: 180-42/2. They each measure 69 degrees. The length of sides don't matter.

7 0

3 years ago

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