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
mihalych1998 [28]
3 years ago
7

A survey claims that a college graduate from Smith College can expect an average starting salary of $ 42,000. Fifteen Smith Coll

ege graduates had an average starting salary of $ 40,800 with a standard deviation of $ 2250. At the 1 % level of significance, can we conclude that the average starting salary of the graduates is significantly less that $42,000?
Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0
<h2>Answer with explanation:</h2>

Let \mu be the average starting salary ( in dollars).

As per given , we have

H_0: \mu=42000\\\\ H_a:\mu

Since H_a is left-tailed , so our test is a left-tailed test.

WE assume that the starting salary follows normal distribution .

Since population standard deviation is unknown and sample size is small so we use t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}} , where n= sample size , \overline{x} = sample mean , s = sample standard deviation.

Here , n= 15 , \overline{x}=  40,800  , s= 225

Then, t=\dfrac{40800-42000}{\dfrac{2250}{\sqrt{15}}}\approx-2.07

Degree of freedom = n-1=14

The critical t-value for significance level α  = 0.01 and degree of freedom 14 is 2.62.

Decision : Since the absolute calculated t-value (2.07) is less than the  critical t-value., so we cannot reject the null hypothesis.

Conclusion : We do not have sufficient evidence at 1 % level of significance to support the claim that  the average starting salary of the graduates is significantly less that $42,000.

You might be interested in
Find the slope of the line that passes through (-37, 47) and (26, 32).
stiks02 [169]
(x1,y1) = (-37,47)
(x2,y2) = (26,32)

Now, m = (47-32) / (26+37)
m = 15 / 63
m = 5/21
So, the slope would be 5/21

Hope this helps!
4 0
3 years ago
What is 0.04 converted to a fraction in simplest form?
Pavel [41]
1/25
think of it as 4/100
4 goes into 100 4 times
1/25+1/25+1/25+1/25=4/100
7 0
3 years ago
A person stands at a window on the 9th floor of an office building. He measures the angle
sesenic [268]

Answer:

it's like 12 because 12 over the 4 get to 40 minus 12

4 0
2 years ago
6.
coldgirl [10]

Step-by-step explanation:

\sin(x)  =  \frac{7}{15}  \\ x =  { \sin}^{ - 1} ( \frac{7}{15} ) \\ x  = 27.8 \degree

3 0
3 years ago
Read 2 more answers
Super easy 4th grade problem-2
nata0808 [166]
The problem isn’t showing up??
7 0
2 years ago
Read 2 more answers
Other questions:
  • What does she need to score on the fifth teat to get exactly a mean of 90?
    9·1 answer
  • 0.48 = log x solve for x
    8·1 answer
  • A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
    8·1 answer
  • Could someone please help me with this?
    6·2 answers
  • Convert 20 milligrams into grams.<br> Can somebody help ?
    6·2 answers
  • Insert 6 arthematic mean between 5 and -9​
    11·1 answer
  • Which angles are acute?<br>А в<br>H<br>Check all that apply.<br>​
    7·2 answers
  • Which stament is true​
    15·2 answers
  • Please answer seriously thanks !! will give brainliest
    8·1 answer
  • The library at a certain university reported that journal prices had increased by 160% over a period of 10 years. The report con
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!