QUESTION 12 An instructor of LEGO Robotics at MIT stated that the mean score in the course is greater than 82.4. A graduate assistant wants to test the instructor's claim and pulls a random sample of 52 students. The random sample has a mean of 83.9 and a standard deviation of 7.2. Based upon a 5% level of significance the graduate assistant states that they will fail to reject the null. Assume the population is normally distributed.

Interpret your decision in the context of the original claim.

In order to receive credit on this question, explain why you wrote the conclusion the way you did.

i can't solve unless i know what the line is

step-by-step explanation:

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total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

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