All categories

3 years ago

How many outliers do these data contain 73, 37, 45, 37, 33, 5, 25, 34, 46, 42, 40, 34, 49, 46, 45

Mathematics

1 answer:

masya89 [10]3 years ago

4 0

The data set has two outliers:
73 and 5.

All the other values are fine.

Hope this helps!

You might be interested in

Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065. New equipment is being

Ilya [14]

Answer:

Yes, the new equipment appear to be effective in reducing the variation of weights.

Step-by-step explanation:

We are given that Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065.

A simple random sample of 25 quarters is obtained from those manufactured with the new equipment, and this sample has a standard deviation of 0.047.

Let $\sigma$ = standard deviation of weights of new equipment.

SO, Null Hypothesis, $H_0$ : $\sigma \geq$ 0.065 {means that the new equipment have weights with a standard deviation more than or equal to 0.065}

Alternate Hypothesis, $H_A$ : $\sigma$ < 0.065 {means that the new equipment have weights with a standard deviation less than 0.065}

The test statistics that would be used here One-sample chi-square test statistics;

T.S. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, s = sample standard deviation = 0.047

n = sample of quarters = 25

So, the test statistics = $\frac{(25-1)\times 0.047^{2} }{0.065^{2} }$ ~ $\chi^{2}__2_4$

= 12.55

The value of chi-square test statistics is 12.55.

Now, at 0.05 significance level the chi-square table gives critical value of 13.85 at 24 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of chi-square as 12.55 < 13.85, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the new equipment have weights with a standard deviation less than 0.065.

5 0

3 years ago

Jason is buying a car, and he wants to pay for it in 48 monthly installments. If the total cost of the car is $9,300, how much w

Dmitrij [34]

The answer is 193.75 per month

3 0

3 years ago

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x^2?

aliya0001 [1]

Answer:

The discriminant of the quadratic equation is -7.

Step-by-step explanation:

We are given the following quadratic equation in the question:

$x^2+x+2 = 0$

Comparing to general quadratic equation:

$ax^2+bx+c = 0\\a = 1\\b = 1\\c = 2$

We have to find the discriminant of the quadratic equation.

Formula:

$d = b^2-4ac$

Putting values, we get,

$d = (1)^2 - 4(1)(2) = 1 - 8 = -7$

Thus, the discriminant of the quadratic equation is -7.

5 0

3 years ago

How do I Solve for x: -2(x+3)=-2x-6

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

all you need to do is use the distributive property and then you"ll get the answer

8 0

3 years ago

Does anyone know what X equals to

Dmitrij [34]

Best Answer

x means everything in algebra. It is a variable, which means that its meaning changes based on context. For example, x could be time, but it could also be cars. x is what all Mathematicians chase after and it is also the greatest tool at their disposal. x is generally called an independent variable because its value determines the output of a function. y, on the other hand, is the result of fooling around with x. It's a dependent variable, which means that y changes when x changes.

8 0

3 years ago