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forsale [732]
3 years ago
9

A random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of dr

ivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Calculate the chi-square test statistic
χ to test the claim that all ages have crash rates proportional to their driving rates.
1. Under 26 = 66 drivers
2. 26-45 = 39 drivers
3. 46-65 = 25 drivers
4. Over 65 = 30 drivers
Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

25.05

Step-by-step explanation:

Given that a random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65.

     

<26 26-45 46-65` >65  

Observed  O 66 39 25 30 160

Expected  E 40 40 40 40 160

     

Chi square      

(O-E)^2/E 16.9 0.025 5.625 2.5 25.05

Thus we get chi square test statistic = 25.05  

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Please help will do anything thank you
kifflom [539]

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

   5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

   a_n=a+(n-1)d

   Here, T_n = nth term of the sequence

   a = first term

   n = number of term

   d = common difference

   From the table attached,

   First term of the sequence 'a' = 5

   Common difference 'd' = 8 - 5 = 3

   Therefore, explicit formula for the given sequence will be,

   a_n=5+3(n-1)

   a_n=2+3n

c). Slope intercept form of the equation will be,

   y = 3x + 2  

d). Input out values for the graph of the given equation,

   x          0           1          2          3

   y          2           5         8          11

   By using this data we can graph the line.    

7 0
3 years ago
Pls please help me ASAP!!!
oksian1 [2.3K]

Answer:

z = 0

Step-by-step explanation:

3 (z + 7) = 21

3z + 21 = 21

3z = 0

z = 0

8 0
2 years ago
There are 42 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time
harkovskaia [24]

Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

5 0
2 years ago
3(x+y)=y if (x y) is a solution to the equation above and y=0 what is the ratio x/y
Alona [7]
The equation can be rewritten as x = -2/3 y, so x/y = -2/3
However, for y=0, the ratio is undefined as you would be dividing by 0??
3 0
3 years ago
For what value of the constant c does the above equation have x = 2 as the only solution?
Stolb23 [73]
The answer is A, -41.
Substitution:
-8(2) - (-41)
-16 + 41
25.
Square root of 25 = 5.
5 = 4x - 3.
5 = 4(2) - 3
5 = 8 - 3
5 = 5.

8 0
2 years ago
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