Is 419108 divisible by 4?

How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner

Liula [17]

Answer:

The 95% confidence interval would be given by (14444.04;33657.30)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860

We can calculate the mean and the deviation from these data with the following formulas:

$\bar X= \frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}$

$\bar X=24050.67$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=17386.13 represent the sample standard deviation

n=15 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that $t_{\alpha/2}=2.14$

Now we have everything in order to replace into formula (1):

$24050.67-2.14\frac{17386.13}{\sqrt{15}}=14444.04$

$24050.67+2.14\frac{17386.13}{\sqrt{15}}=33657.30$

So on this case the 95% confidence interval would be given by (14444.04;33657.30)

6 0

2 years ago

Caitlin had used more thank 2 pounds of clay to make a jar? Would the amount remaining have been more or less than your answer t

11111nata11111 [884]

You do not make any sense. can you restate your question please

4 0

2 years ago

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The foundation chair for a hosp

slavikrds [6]

Answer:

For this case we want to test if the mean number of filled overnight beds is over 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:

Null Hypothesis: $\mu \leq 523$

Alternative hypothesis: $\mu > 523$

And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over 523 is not statistically supported

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if the mean number of filled overnight beds is over 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:

Null Hypothesis: $\mu \leq 523$

Alternative hypothesis: $\mu > 523$

And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over 523 is not statistically supported

6 0

2 years ago

What is the ratio of the afternoon to morning temperatures shown in the table? Temperatures Morning Afternoon 15 degrees. 30 deg

Nikitich [7]

Given:

Morning Temperature = 15 degrees, Afternoon Temperature = 30 degrees

Morning Temperature = 20 degrees, Afternoon Temperature = 40 degrees

Morning Temperature = 26 degrees, Afternoon Temperature = 52 degrees

To find:

The ratio of the afternoon to morning.

Solution:

Taking any one pair of morning and afternoon temperature, we can find the ratio.

Morning Temperature = 15 degrees

Afternoon Temperature = 30 degrees

$\text{Ratio}=\dfrac{\text{Afternoon Temperature}}{\text{Morning Temperature}}$

$\text{Ratio}=\dfrac{30}{15}$

$\text{Ratio}=\dfrac{2}{1}$

$\text{Ratio}=2:1$

Therefore, the correct option is C.

7 0

1 year ago

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Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests, it has been discovered that he is righ

Alla [95]

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

8 0

1 year ago

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