1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jonny [76]
3 years ago
12

A 2010 study asserts that the number of hours that the average college student studies each week has been steadily dropping (The

Boston Globe, July 4, 2010). In fact, the researchers state that, in the U.S., today’s undergraduates study an average of 14 hours per week. Suppose an administrator at a local university wants to show that the average study time of students at his university differs from the national average. He takes a random sample of 35 students at is university and finds that the average number of hours spent studying per week is 16.7. Assume that the population standard deviation is 7.2 hours. At 0.05 level of significance, what is the test statistics for testing the hypotheses H0: µ = 14 versus H1: µ ≠ 14?
Mathematics
1 answer:
Dominik [7]3 years ago
6 0

Answer:

Test statistic    |Z| = |-2.21|

calculated value Z = 2.21 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given Mean of the Population' μ' = 14 hours per week

Given random sample size 'n'= 35

Mean of the sample (x⁻) = 16.7 hours per week

standard deviation of the Population (σ) = 7.2 hours per week

Level of significance = 0.05

<u><em>Step(ii):-</em></u>

<u><em>Null hypotheses :H₁: µ = 14</em></u>

<u><em>Alternative Hypothesis : H₂: µ ≠ 14</em></u>

<em>Test statistic</em>

              Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

              Z = \frac{14-16.7}{\frac{7.2}{\sqrt{35} } }

               Z = -2.21

            |Z| = |-2.21|

The tabulated value

                    Z₀.₀₅ = 1.96

calculated value Z = 2.21 > 1.96 at 0.05 level of significance

<em>  Null hypothesis is rejected</em>

<em>The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week</em>

<em></em>

<u><em></em></u>

You might be interested in
Write 45/72 in the simplest form
Oliga [24]
Hi! 

In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF. 

So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have. 

45: 1, 3, 5, 9, 15, and 45

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

It looks like the GCF is 9. Now we have to divide 45 and 72 by 9. 

45 ÷ 9 = 5

72 ÷ 9 = 8

So the correct answer should be:

\frac{45}{72} =  \frac{5}{8}

Hope this helps :)
3 0
3 years ago
If the die were to be rolled 6000 times, would we expect to obtain exactly 1000 '2's? explain your answer.
ludmilkaskok [199]
The probability of that occurring is 0%. There are 6 sides in a typical dice, which means the probability of rolling a 2 is 1/6th. (1/6)^1000 will give you the probability of rolling a 2 exactly 1000 times. (1/6)^1000 equates to 0%.
7 0
2 years ago
Which types of reasons are not valid in a mathematical proof?
bulgar [2K]
It's definitely A, gotta be.
5 0
3 years ago
Read 2 more answers
Use the order of operations to find the value of the expression. 2 + 3 × 16 − 2 × 21 − 3
kolezko [41]

Answer:

5

Step-by-step explanation:

=2+(3)(16)-(2)(21)-3

=2+48-(2)(21)-3

=50-(2)(21)-3

=50-42-3

=8-3

=5

Hope this helped! :)

6 0
3 years ago
Which tasks are performed by individuals in the Science and Math pathway? Select all that apply.
liraira [26]

Answer:

1, 3, 5, 6 I hope that's correct for you

4 0
3 years ago
Read 2 more answers
Other questions:
  • Sally and mabel had the same number of cards at first. After sally sold 18 of her cards, mabel had four times as many cards as s
    8·1 answer
  • The teacher gives the equation 4x__=12. Charlie finds the answer by writing and solving 12÷__=3. Explain why Charlie's method wo
    8·2 answers
  • An astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. How much would a person weigh on the moon if th
    13·1 answer
  • The data 12, x, 24, 16, and 18 have a mean, average, of 15. Find the value of x. (Hint: Replace the values to determine x.) * Wh
    6·1 answer
  • Solve the equation x^4-64=0
    13·2 answers
  • Give the standard form for 900.000 000 + 50 50.000 000 + 9.000 + 600 + 20 + 7
    7·1 answer
  • Help me pls 27 pnts(:(:
    13·1 answer
  • (11-6)^2+6x2-(3+3)^2<br><br> A. 0<br><br> B. 1<br><br> C. 16<br><br> D. 26
    9·1 answer
  • Tina spends $50.86 at the craft store. She buys 5 yards of fabric at $8.98 per yard and 2 spools of thread. What is the price of
    14·2 answers
  • Zach substitutes the values 32 inches, 20 inches and 20 inches into the Pythagorean theorem. Explain what Zach is most likely tr
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!