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
lawyer [7]
3 years ago
7

A university claims that the mean time professors are in their offices for students is at least 6.5 hours each week. A random sa

mple of eight professors finds that the mean time in their offices is 6.2 hours each week. With a sample standard deviation of 0.49 hours from a normally distributed data set, can the university’s claim be supported at α=0.05?
Mathematics
1 answer:
kolezko [41]3 years ago
3 0
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

Null hypothesis : H_0: \mu\geq 6.5

Alternative hypothesis : H_a: \mu

Since alternative hypothesis is left-tailed , so the test is a left-tailed test.

Since n= 8 <30 , so we use t-test.

Test statistic for population mean : t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

t=\dfrac{6.2-6.5}{\dfrac{0.49}{\sqrt{8}}}\approx-1.73

Critical value for t=t_{n-1, \alpha}=t_{7,0.05}=1.895

Since the absolute t-value (1.73) is less than the critical t-value(1.895), it means we are fail to reject the null hypothesis.

Thus , we conclude that we have enough evidence to support the university’s claim.

You might be interested in
Can i be happy? <br> Can i be a person is perfect?
elixir [45]

Answer:

yes, no

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How long would it to drive 8.5 miles at 22 miles mile per hour?
Vitek1552 [10]
Time = Distance / Speed     
T = 8.5 miles/ 22 miles = 0.3863

4 0
3 years ago
The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home
JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = \frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons

When they returned, quantity of gas in the tank = \frac{1}{3} \times18=\frac{18}{3} =6\ gallons

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0
2 years ago
Which is the best estimate for the quotient of 198.32 ÷ 9.001?
Whitepunk [10]
I would believe it to be 22
4 0
3 years ago
Read 2 more answers
Find the common ratio for the following sequence .1, .01, .001
morpeh [17]

Answer:

0.1

Step-by-step explanation:

The <em>common ratio</em> of a sequence is the number you multiply one term to get the next one. Here, we multiply 0.1 by 0.1 to get 0.01, and 0.01 by 0.1 to get 0.001, so our common ratio is 0.1.

5 0
3 years ago
Other questions:
  • The amount of money and dollars that it cost to purchase x square feet of the carpet is given by f(x)= 8x the insulation feet is
    8·1 answer
  • Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
    6·1 answer
  • Plz help ASAP..........................
    15·2 answers
  • Please help <br><br><br>-20 ≥ z - 13<br><br><br>z=?
    7·1 answer
  • What is the y-intercept ? b =​
    14·1 answer
  • How can you break a table into two part
    7·1 answer
  • A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32
    13·1 answer
  • I need help on this plzs
    7·2 answers
  • Simplify each expression, if possible.<br> 13. (2+ 5xi)(7- xi)
    12·1 answer
  • I need help with 10 to 14
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!