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
Y_Kistochka [10]
3 years ago
9

A bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The m

anager hopes that the new system will reduce waiting times from the current 9 to 10 minutes to less than 6 minutes.1. Set up the null and alternative hypotheses needed if we wish to attempt to provide evidence supporting the claim that the mean waiting time is shorter than six minutes.2. The mean and the standard deviation of a sample of 100 bank customer waiting times are 5.46 minutes and 2.475 minutes, respectively.
(a) Use the critical value approach to test H0 versus Ha when α = 0.05.

(b) Use the p-value approach to test H0 versus Ha when α = 0.05.
Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

Both the approach gave the same conclusion:

There is enough evidence to support the claim that the mean waiting time is shorter than six minutes

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 6 minutes

Sample mean, \bar{x} = 5.46 minutes

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 2.475 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 6\text{ minutes}\\H_A: \mu < 6\text{ minutes}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{5.36 - 6}{\frac{2.475}{\sqrt{100}} } = -2.5858

a) Use the critical value approach

Now, t_{critical} \text{ at 0.05 level of significance, 99 degree of freedom } = -1.6603Since, the calculated test statistic is less than the critical value of t, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that new system reduces the time customers spend waiting for teller service during peak hours from the current 9 to 10 minutes to less than 6 minutes.

b) Use the p-value approach

The p-value can be calculated as:

P-value = 0.0055

Since the p-value is less than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that new system reduces the time customers spend waiting for teller service during peak hours from the current 9 to 10 minutes to less than 6 minutes.

You might be interested in
For every $3.00 the 5th grade raise, the 6th grade raises $5.00. If the 5th grades raises $36.00, how much does the 6th grade ra
frutty [35]
The sixth graders raised $60
7 0
2 years ago
Read 2 more answers
Which of these sets of ordered pairs would define a line with a positive slope?
Serhud [2]
The correct answer is D
8 0
3 years ago
What is the answer to 118÷12 ?
svetlana [45]
The anwser is 9.8333333333
3 0
3 years ago
Read 2 more answers
PLEASE HELP. 40 points!!!
sergij07 [2.7K]

Answer:

nothing

first ride he take 1000galons and after 1000 miles he consumpted 1000galons so nothing left

7 0
2 years ago
Graph the solution of this inequality: 4.5x-100 &gt;125
Lubov Fominskaja [6]
\bf 4.5x-100\ \textgreater \ 125\implies 4.5x\ \textgreater \ 225\implies x\ \textgreater \ \cfrac{225}{4.5}\implies x\ \textgreater \ 50

check the picture below.

4 0
3 years ago
Other questions:
  • Use right triangle ABC. The figure is for reference only and is not drawn to scale. In a 30-60-90 triangle, the shorter leg had
    8·1 answer
  • What is the value of m in the equation 1/2 m- 3/4 n=16 when n =8
    6·2 answers
  • Help I need it badly!!<br> first answer brainliest!
    13·1 answer
  • (Express each rate in lowest term)<br>6 + 4 2/3​
    12·1 answer
  • What type of triangle is pictured in the following figure?
    13·2 answers
  • Talia tossed a penny many times. She got 40 heads and 60 tails. She said the experimental probability of getting heads was 40/60
    11·1 answer
  • I have to find a fraction or mixed number that is between the two numbers -2 2/5 and -2 1/10?
    13·1 answer
  • Can some one plz help me?
    15·1 answer
  • A diver went 25.35 feet below the surface of the ocean and then 18.5 feet further down he then rose 12.45 feet. Write and solve
    5·1 answer
  • Which describes the difference between the two sequences?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!