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
belka [17]
3 years ago
6

An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can on

ly inspect 46 mice per hour with a standard deviation of 10. At a = 0.025, does the company have reason to believe that these inspectors are slower than average?
A. Yes, because -2.77 falls in the noncritical region
B. No, because - 1.59 falls in the critical region
C. Yes, because -2.77 falls in the critical region
D. No, because -1.59 falls in the noncritical region
Mathematics
1 answer:
Ronch [10]3 years ago
4 0

Answer:  C. Yes, because -2.77 falls in the critical region .

Step-by-step explanation:

Let \mu be the population mean .

As per given , we have

H_0:\mu=50\\\\ H_a: \mu

Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

Also, it is given that ,

n= 48

\overline{x}=46

s= 10

t=\dfrac{46-50}{\dfrac{10}{\sqrt{48}}}=\dfrac{-4}{\dfrac{10}{6.93}}\\\\=\dfrac{-4}{1.443}\approx-2.77

Degree of freedom = df = n-1= 47

Using t-distribution , we have

Critical value =t_{\alpha,df}=t_{0.025,47}=2.0117

Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.

So , we reject the null hypothesis.

i.e. -2.77 falls in the critical region.

[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]

Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.

Hence, the correct answer is C. Yes, because -2.77 falls in the critical region

You might be interested in
Write the equation of the line which has the given slope "m" and whivh passes through the given point...
VladimirAG [237]

equation of the line which has the given slope "m" and whivh passes through the given point...

a.(2,10) and m= -4

b.(4,-4) and m=3/2

c.(0,0) and m=3/5

7 0
2 years ago
Read 2 more answers
Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what inter
S_A_V [24]

Answer:

r=5.86%

Step-by-step explanation:

6 0
2 years ago
I need help with my little brothers homework?
erik [133]
I only did the first part but maybe later I will solve the rest too. If there are any errors but tell me so I can update the pic.

7 0
3 years ago
Read 2 more answers
What is the range of the function graphed below?
Fynjy0 [20]

Answer:

-3<y<=3 or B

Step-by-step explanation:

first we find the smallest y value which is -3

then we find the largest y vlaue which is three

so since there is an open circle at negative three we do not include it while at three we do.

so the answer would be -3<x<=3

if my answer helps please mark as brainliest.

8 0
2 years ago
Salim had 24 homework problems.
lesantik [10]

Answer:

so im guessing  the remainder of hw problems->

Step-by-step explanation:

24-7 =17 math problems left from doing some lunch

17-7= 10 math so its 10 math problems left

6 0
3 years ago
Other questions:
  • A firecracker shoots up from a hill 160 feet high, with an initial speed of 90 feet per second. Using the formula H(t) = −16t2 +
    14·2 answers
  • The black graph is the graph of y=f(x). Choose the equation for the red graph.<br> Please Help me!!
    12·1 answer
  • The top two nets represent the triangular prisms that are attached to the bases of a rectangular prism. The composite figure is
    14·2 answers
  • Please answer asap (don't need explanation)
    15·1 answer
  • Andy is 2 years older than Jeff. In 5 years the sum of their ages will be 40.find their ages now
    6·1 answer
  • -7.5x + 0.25 = -5.75 <br> The value of x is =
    15·2 answers
  • In which situation would hydrogen bonding be present?
    14·1 answer
  • NEED HELP IN Algebra 2
    6·2 answers
  • 4 1/2 ​ ÷(−1 3/7​ ) please help and hurry
    9·2 answers
  • Richard invested $ 4,500.00 in a bank that pays simple interest of 4% a. M., for 10 months. How much will John earn in interest
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!