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
Montano1993 [528]
3 years ago
15

Jessica knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help her see if

college students are different from the adult population. Jessica tabulated that her sample of 101 students got an average of 6.9 hours of sleep each night, with a standard deviation of 2.5. Using the data provided and the formula below, what is the t-statistic that Jessica calculates? Answer choices are rounded to the hundredths place.
Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

-4.42

Step-by-step explanation:

Given the following :

Population mean (pm) = 8 hours

Sample mean (sm) = 6.9 hours

Number of observations (n) = 101 students

Sample standard deviation (sd) = 2.5

Using the t-statistic formula :

[(sm - pm) / (sd/√n)]

Hence,

[(6.9 - 8) / (2.5/√101)]

[(-1.1) / (2.5/10.05)]

-1.1 / 0.2487562

= −4.422

The test statistic = - 4.42 to the nearest hundredth.

You might be interested in
Simplify the algebraic expression by combining like terms. -7x² +19x²<br> Simplify your answer.
enot [183]
Wouldn’t u just subtract 7 from 19 since they have the same variable
4 0
2 years ago
53​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
faltersainse [42]

Answer:

a

   P(X = 5) = 0.2423

b

    P( X \ge  6 )=  0.4516

c

   P( X <  4 )=  0.12694

Step-by-step explanation:

From the question we are told that

   The population proportion is   p = 0.53

    The sample size is  n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators        

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly​ five is mathematically represented as

     P(X = 5) =  ^{10}C_5 *  0.53^5 *  (1- 0.53)^{10-5}

=>  P(X = 5) =  252 * 0.04182 *  0.023

=>  P(X = 5) = 0.2423

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  at least​ six is mathematically represented as

  P( X \ge  6 )=  P( X  = 6) +  P( X  = 7) +  P( X  = 8) +  P( X  = 9) +  P( X  = 10)

=> P( X \ge  6 )=  [^{10}C_6 *  [0.53]^6 *  (1- 0.53)^{10-6}] +  [^{10}C_7 *  [0.53]^7 *  (1- 0.53)^{10-7}] +  [^{10}C_8 *  [0.53]^8 *  (1- 0.53)^{10-8}] +  [^{10}C_9 *  [0.53]^9 *  (1- 0.53)^{10-9}] + [^{10}C_{10} *  [0.53]^{10} *  (1- 0.53)^{10-10}]

=> P( X \ge  6 )=  [0.227] +  [0.1464] +  [0.0619] +  [0.0155] + [0.00082]

=> P( X \ge  6 )=  0.4516

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  less than four is mathematically represented as

    P( X <  4 )=  P( X  = 3) +  P( X  = 2) +  P( X  = 1) +  P( X  = 0)

=>  P( X <  4 )=  [^{10}C_3 *  0.53^3 *  (1- 0.53)^{10-3}] +  [^{10}C_2 *  0.53^2 *  (1- 0.53)^{10-2}] +  [^{10}C_1 *  0.53^1 *  (1- 0.53)^{10-1}] +  [^{10}C_0 *  0.53^0 *  (1- 0.53)^{10-0}]

=>  P( X <  4 )=  0.09051  +  0.03 +  0.0059 +  0.000526

=>  P( X <  4 )=  0.12694

5 0
3 years ago
Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually. How much will she have paid at the end
jolli1 [7]
It is $15,900.50 because it says 15,000 car loan with a 6 percent rate.
3 0
3 years ago
Read 2 more answers
32 teams in 4 divisions
stepan [7]

Answer:

8

Step-by-step explanation:

32 divided by 4 is 8

3 0
3 years ago
HELP 20 PTS!!! Which ordered pair in the form (x, y) is a solution of this equation? (x + 7)y = 10
Vlad [161]

Answer:

x = 3 y = 1

Step-by-step explanation:

3 + 7 = 10

10 x 1 = 10

Have a great day and good luck :)

8 0
3 years ago
Other questions:
  • When you subtract one square number from another the answer is 7 what are the two numbers
    11·1 answer
  • The shampoo you like to use is on sale. But you only get the lower price if you buy 3 bottles. You want to know how much you'll
    14·2 answers
  • If the perimeter of a square is 60cm , what is the length of each side.
    8·1 answer
  • Pick the best decimal point equivalent to 3 9/100
    13·2 answers
  • F(x) = x^2 + 5. Find f(-4) please help :((
    10·1 answer
  • Please help i need<br> help
    13·1 answer
  • HELP ME FOR BRIANETEST
    6·1 answer
  • Graph the following equation y=3(0.5)^X
    8·1 answer
  • Use the formula R=3V+2T to find V when R=40 and T=5
    7·2 answers
  • Larry's small business has $42,400 in its bank account and makes automatic monthly payments that total
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!