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3 years ago

What is the median of 1,2,4,7,6,9

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

7 0

Answer:

median = 5

Step-by-step explanation:

1,2,4,6,7,9

median = middle position = (4+6)/2 = 5

Gnoma [55]3 years ago

3 0

Answer:

It is the middle number. If there are two middle numbers find average so 4+6=10/2=5. Make sure the numbers are from least to greatest before you find the median

Step-by-step explanation:

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Order the following numbers written in scientific notation from greatest to least: 3.9 × 105, 6.1 × 103, 9.3 × 105, 1.6 × 103 A.

Licemer1 [7]

The numbers are:

3.9 × 105 = 409.5

6.1 ×103 = 628.3

9.3 × 105 = 976.5

1.6 × 103 = 164.8

Arranging from greatest to least and in scientific notation form gives:

9.3 × 105 , 6.1 × 103 , 3.9 × 105 , 1.6 × 103

*(Seems like there is no correct answer from the choices given there).

5 0

3 years ago

Read 2 more answers

The thickness of a plastic film (in mils) on a substrate material is thought to be influenced by the temperature at which the co

statuscvo [17]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if rising the process temperature reduces the thickness of the plastic film that coats a substrate material To do so, two samples of substrates are coated at different temperatures:

Sample 1

X₁: Thickness of the plastic film after the substrate is coated at 125F

n₁=11

X[bar]₁= 101.28

S₁= 5.08

Sample 2

X₂: Thickness of the plastic film after the substrate is coated at 150F

n₂= 13

X[bar]₂= 101.70

S₂= 20.15

Does the data support this claim? Use the P-value approach and assume that the two population standard deviations are not equal.

Now if the higher the heat, the thinner the thickness of the plastic coating, then the average thickness of the coating done at 150F should be less than the average thickness of the coating done at 125F, symbolically: μ₂ < μ₁

Then the hypotheses are:

H₀: μ₂ ≥ μ₁

H₁: μ₂ < μ₁

α:0.05 (there is no α level stated so I've chosen the most common one)

Assuming that both variables have a normal distribution since the population standard deviations are not equal, the statistic to use is the Welch's t-test:

$t= \frac{(X[bar]_2-X[bar]_1)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } } ~~t_w$

$t_{H_0}= \frac{(101.7-101.28)-0}{\sqrt{\frac{(20.15)^2}{13} +\frac{(5.08)^2}{11} } } = 0.072$

This test is one-tailed to the left, meaning that you'll reject the null hypothesis at small values of t. The p-value is also one-tailed and has the same direction as the test. To calculate it you have to first calculate the degrees of freedom of the Welch's t:

$Df_w= \frac{(\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} )^2}{\frac{(\frac{S^2_1}{n_1})^2 }{n_1-1}+\frac{(\frac{S^2_2}{n_2} )^2}{n_2-1} }$

$Df_w= \frac{(\frac{5.08^2}{11} +\frac{20.15^2}{13} )^2}{\frac{(\frac{5.08^2}{11})^2 }{10} +\frac{(\frac{20.15^2}{13} )^2}{12} } = 13.78$

The distribution is a Student's t with 13 degrees of freedom, then you can calculate the p-value as:

P(t₁₃≤0.072)= 0.4718

Using the p-value approach, the decision rule is:

If the p-value ≤ α, the decision is to reject the null hypothesis.

If the p-value > α, the decision is to not reject the null hypothesis.

The p-value is greater than the significance level, so the decision is to nor reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to support the claim that the average thickness pf the plastic coat processed at 150F is less than the average thickness pf the plastic coat processed at 125F.

I hope you have a SUPER day!

4 0

3 years ago

Can someone help me wih this?

irinina [24]

What grade is that?................

4 0

3 years ago

e.Water has a density of about 0.0361 pounds/cubic inch. You might know that wood floats on water. What can you conclude about t

irina1246 [14]

Answer:

Step-by-step explanation:

the objects which have less density than water will float

and the objects which have more density than the density of liquid will sink in liquid or will not float.

8 0

1 year ago

Is y= 3(1/2)^x increasing or decreasing?

Zigmanuir [339]

Answer: Hey I looked on a graphing calculator on Desmos, and its seems that this is increasing.

Step-by-step explanation:

5 0

2 years ago