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
Andru [333]
3 years ago
6

The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a-1) At α = .05 i

n a left-tailed test, would a sample of 16 randomly chosen hours with a mean of 510 and a standard deviation of 50 indicate that the manufacturer’s claim is overstated? Choose the appropriate hypothesis.
Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

Null hypothesis:\mu \geq 250        

Alternative hypothesis:\mu < 250  

p_v =P(t_{15}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

Step-by-step explanation:

1) Data given and notation        

\bar X=510 represent the mean for the sample    

s=50 represent the standard deviation for the sample  

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)    

2) State the null and alternative hypotheses.        

We need to conduct a hypothesis in order to determine if the claim thet the handle on average is 530 bags per hour:      

Null hypothesis:\mu \geq 530        

Alternative hypothesis:\mu < 530        

We don't know the population deviation and the sample size is lees than 30, so for this case 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{\sigma}{\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".    

3) Calculate the statistic        

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

t=\frac{510-530}{\frac{50}{\sqrt{16}}}=-1.60        

4) Calculate the critical value

We need to begin calculating the degrees of freedom

df=n-1=16-1=15

The critical value for this case would be :

P(t_{15}

The value of a that satisfy this on the normal standard distribution is a=-1.75 and would be the critical value on this case zc=-1.75

5) Calculate the P-value        

Since is a one-side upper test the p value would be:        

p_v =P(t_{15}    

6) Conclusion        

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

You might be interested in
Ana has $500 to spend on shopping for her trip. She spends her money on the following: $120 on swimsuits$50 on towels$100 on clo
shtirl [24]
295 she spent
y dollars she can spend on other expanses
then 295+x+y=500
implies x+y=205

4 0
3 years ago
Please help me i dont get either one of them i just need one of them. Please shiw steps. Thanks
pychu [463]

NO.4:X=38

NO.5:X=41

NO.6:X=24

5 0
3 years ago
What is the probability of tossing two heads
vodka [1.7K]

Hello!

Each time, there will be a 1/2 chance of tossing a head. Therefore, we multiply our two probabilities.

1/2(1/2)=1/4

Therefore, we have a 1/4 or 25% chance of tossing two heads in a row.

I hope this helps!

3 0
3 years ago
Read 2 more answers
I need help.<br> Math is really hard
alekssr [168]

Answer:

The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

The value of x when b is 3 is: x = -1

Step-by-step explanation:

We are given the function: -2(bx-5)=16

First we need to find

The value of x in terms of b

We need to find value of x

-2(bx-5)=16

Multiply -2 with terms inside the bracket

-2bx+10=16

Subtract 10 from both sides

-2bx+10-10=16-10\\-2bx=6

Divide both sides by -2b

\frac{-2bx}{-2b}=\frac{6}{-2b}\\x=-\frac{6}{2b}

So, The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

The value of x when b is 3

We have the equation for the value of x in terms of b:

\mathbf{x=-\frac{6}{2b}}

Put b = 3

x=-\frac{6}{2(3)}\\x=-\frac{6}{6}\\x=-1

So, The value of x when b is 3 is: x = -1

3 0
3 years ago
How many grams are there in 4.5 kilograms
zavuch27 [327]

Answer: 4500 grams

Step-by-step explanation: 1 kilogram is 1,000 grams, so 4 kilograms is 4,000 grams, and half a kilogram is 500 grams. So, 4000 + 500 = 4,500

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do you write n+-m in standard form
    11·1 answer
  • List The Partial Products of 42x28
    12·1 answer
  • 3. A function f(x) has a slope of -and passes through
    14·1 answer
  • 1. Joanne's waitressing job gave her a raise of $2 per hour. The first day on her new
    13·2 answers
  • Identify whether the number is prime or composite. If the number is composite, then identify the factors. 56
    8·1 answer
  • 3.A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a singl
    6·1 answer
  • A six-sided number cube is tossed and a coin is flipped.
    14·2 answers
  • Tim wrote the following statement:
    14·2 answers
  • Multiply.
    10·1 answer
  • The plane flies from Melbourne to Tokyo at an average speed of 783 km/h The distance from Melbourne to Tokyo is 8352 km. The pla
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!