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svlad2 [7]
3 years ago
6

The average commute times for employees of a large company is 23 minutes the commute time of 12 employees are 25,33,26,29,17,29,

42,19,15,52,11,and 14. Enter the sample mean and the population mean
Mathematics
2 answers:
k0ka [10]3 years ago
8 0

Answer:

26

Step-by-step explanation:

Mean (Average) 26

Median 25.5

Range 41

Mode 29, appeared 2 times

Geometric Mean 23.569888915944

Largest 52

Smallest 11

Sum 312

Count 12

nata0808 [166]3 years ago
8 0

Answer: Population Mean : \mu=23\text{ minutes}

Sample mean : \overline{x}=26\text{ minutes}

Step-by-step explanation:

The population mean the average of the population on a given characteristics.

We have already given population mean as \mu=23\text{ minutes}

Now, the sample of commute time  12 employees are

25,33,26,29,17,29,42,19,15,52,11,14

\text{Sample mean =}\dfrac{\text{Sum of observations}}{\text{Sample size}}\\\\=\dfrac{312}{12}=26\\\\\Rightarrow\overline{x}=26\text{ minutes}

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In professional basketball games during 2009-2010, when Kobe Bryant of the Los Angeles Lakers shot a pair of free throws, 8 time
ziro4ka [17]

Answer:

Is plausible that the successive throws are independent

Step-by-step explanation:

1) Table with info given

The observed values are given by the following table

__________________________________________________

First shot          Made          Second shot missed           Total

__________________________________________________

Made                  152                       33                                185

Missed                37                         8                                  45

__________________________________________________

Total                    189                       41                                230

2) Calculations and test

We are interested on check independence and for this we need to conduct a chi square test, the next step would be find the expected value:

Null hypothesis: Independence between two successive free throws

Alternative hypothesis: No Independence between two successive free throws

_____________________________________________________

First shot                    Made                                    Second shot missed

_____________________________________________________

Made                  189(185)/230=152.0217                41(185)/230=32.9783

Missed                189(45)/230=36.9783                  41(45)/230=8.0217

_____________________________________________________

On this case all the expected values are higher than 5 and the sample size 230 is enough to apply the chi squared test.

3) Calculate the chi square statistic

The statistic for this case is given by:

\chi_{cal}^2 =\sum \frac{(O_i -E_i)}{E_i}

Where O represent the observed values and E the expected values. Replacing the values that we got we have this

\chi_{cal}^2 =\frac{(152-152.0217)^2}{152.0217}+\frac{(33-32.9783)^2}{32.9783}+\frac{(37-36.9783)^2}{36.9783}+\frac{(8-8.0217)^2}{8.0217}=0.000003098+0.00001428+0.00001273+0.0.00005870=0.00008881

Now with the calculated value we can find the degrees of freedom

df=(r-1)(c-1)=(2-1)(2-1)=1 on this case r means the number of rows and c the number of columns.

Now we can calculate the p value

p_v =P(\chi^2 >0.00008881)=0.9925

On this case the pvalue is a very large value and that indicates that we can fail to reject the null hypothesis of independence. So is plausible that the successive throws are independent.

5 0
3 years ago
Plz HELP BRAINLIEST IF CORRECT THANKS
boyakko [2]

Answer:

5

Step-by-step explanation:

Rise over run... slope formula:

\frac{y^2-y^1}{x^2-x^1}

x=0, y=0

x=1, y=5

\frac{5-0}{1-0}=\frac{5}{1} =5

6 0
3 years ago
The volume of a right cone is 264 π units. if its circumference measures 12 π units, find its height
abruzzese [7]

Answer:

r = \frac{12\pi }{\pi } / 2 = 6

volume = 1/3 * π * r² * h

h = 3 * V/π * r^{2}

h = \frac{3 * 264\pi }{\pi  * 6^{2} } = 22

8 0
2 years ago
Please helpppp
Zarrin [17]

Answer:

|(15,055) is the number of pages in a book with

15,055 words.

Step-by-step explanation:

becuz the no of pages is a function to the words ..

8 0
3 years ago
F(x)=2x² + 12, what is f(3)<br><br> 3<br> 12<br> 18<br> 30
Natali [406]
The answer to the question

8 0
3 years ago
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