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
MakcuM [25]
3 years ago
13

The manufacturer of an airport baggage scanning machine claims it can handle an average of530 bags per hour.(a-1) At α = .05 in

a left-tailed test, would a sample of 16 randomly chosen hours with a mean of 507 and a standard deviation of 47 indicate that the manufacturer’s claim is overstated? Choose the appropriate hypothesis.a. H1: μ < 530. Reject H1 if tcalc > -1.753b. H0: μ < 530. Reject H0 if tcalc > -1.753c. H1: μ ≥ 530. Reject H1 if tcalc < -1.753d. H0: μ ≥ 530. Reject H0 if tcalc < -1.753
Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

Answer:

b. H0: μ < 530. Reject H0 if tcalc > -1.753

Step-by-step explanation:

1) Data given and notation  

\bar X=507 represent the sample mean

s=47 represent the sample standard deviation  

n=16 sample size  

\mu_o =530 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less than 530 (left tailed tes), the system of hypothesis would be:  

Null hypothesis:\mu \geq 530  

Alternative hypothesis:\mu < 530  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{507-530}{\frac{47}{\sqrt{16}}}=-1.957

Critical value

Since we are conducting a left tailed test we need to first find the degrees of freedom for the statistic given by:

df=n-1=16-1=15

Now we need to look on the t distribution with 15 degrees of freedom that accumulates 0.05 of the area on the left area. And on this case the critical value would be t_{\alpha}=-1/753.

And we can use the following excel code to find it: "=T.INV(0.05,15)"  

So then the correct rejection zone for H0 would be: Reject H0 if t_{calc}

P-value  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(15)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean is significantly lower than 530 at 5% of significance.  

You might be interested in
What is the approximate volume of a cone with a height of 12 in and radius of 9 in ? Use 3 14 to approximate pi, and express you
Rama09 [41]

Answer:

1017.36

Step-by-step explanation: The formula for cone volume is 3.14(r^2)(h/3). Plug in all of your values to get the answer.

3 0
3 years ago
Which of the following coordinates does this line pass through?
forsale [732]

Answer:

(3, 5)

Step-by-step explanation:

5 0
3 years ago
What point is halfway between (2,3) and (2,8)
OverLord2011 [107]

Answer:

(2,5.5)

Step-by-step explanation:

6 0
3 years ago
I need help with number 4 please you don't need to explain ​
inn [45]
I need some love in my life
8 0
3 years ago
1. Lin wants to save $75 for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What
Sliva [168]

Answer:

50%

Step-by-step explanation:

you divide 75 by 37.50 i hope this helped.

7 0
2 years ago
Other questions:
  • Fill in the blanks using place value: 43 ones x 3 tens =_______tens
    8·1 answer
  • Find the domain of <br> 3 √2t-1
    11·1 answer
  • Someone tell me the answer and explain
    11·1 answer
  • A weight-loss program claims that, on average, participants lose 10 pounds during the first month of participation. An independe
    5·1 answer
  • When translating the point (5,0) 6 units up and 4 units to the right, we should get:
    6·1 answer
  • What is 5 to the negative 3 power supposed to be in simplified form???
    11·1 answer
  • when the length of the diameter of a circle is 20 CM and the length of the cord is 16 CM the diameter and the cord have a common
    11·1 answer
  • The list of ordered pairs is a function. which of the following to be the missing ordered pair? (12,6) (3,1) (2,-2) (5,10) (-8,
    10·2 answers
  • Which statements describe the functions? Check all that apply.
    11·2 answers
  • Write the equation of the line that passes through (-3,6) with a slope of -2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!