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maks197457 [2]
3 years ago
14

Matt thinks that he has a special relationship with the number 4. In particular, Matt thinks that he would roll a 4 with a fair

6-sided die more often than you'd expect by chance alone. Suppose pp is the true proportion of the time Matt will roll a 4.
Required:
a. State the null and alternative hypotheses for testing Matt's claim.
b. Now suppose Matt makes n = 46 rolls, and a 2 comes up 10 times out of the 46 rolls. Determine the P-value of the test.
Mathematics
1 answer:
Ahat [919]3 years ago
4 0

Answer:

Step-by-step explanation:

Matt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2.

(a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction e.g. p = 1/3)

H0 =  

Ha =

(b) Now suppose Matt makes n = 46 rolls, and a 2 comes up 10 times out of the 46 rolls. Determine the P-value of the test:

P-value = ( u figure it out) u got it

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Answer:

  • Jim's: 7
  • Duke's: 21
  • Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

  2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

  3(D -14 +1) = (H +14 -1) . . . . Duke's offer

  6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

  2H - J = 15

  3D - H = 52

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<u>Solution</u>

Adding twice the second equation to the first gives ...

  2(3D -H) +(2H -J) = 2(52) +(15)

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Adding 6 times the third equation to this one gives ...

  6(6J -D) +(6D -J) = 6(21) +(119)

  35J = 245

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Using this value in the third equation gives ...

  6(7) -D = 21

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Using the value of J in the first equation gives ...

  2H -7 = 15

  H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

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Step-by-step explanation:

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Step-by-step explanation:

Because Mikey weighs 15 pounds more, just add 95 pounds and 15 pounds to get Mikey's weight:

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I hope this helps you!

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