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
ruslelena [56]
3 years ago
12

The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5

for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.32 and that x = 5.24. (Use α = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?
State the appropriate null and alternative hypotheses.

H0: μ = 5.5
Ha: μ > 5.5H0: μ = 5.5
Ha: μ ≥ 5.5 H0: μ = 5.5
Ha: μ < 5.5H0: μ = 5.5
Ha: μ ≠ 5.5
Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:  

z=-3.25

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=5.24 represent the mean production for the sample  

\sigma=0.32 represent the sample standard deviation for the sample  

n=16 sample size  

\mu_o =5.5 represent the value that we want to test  

\alph=0.05a represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

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

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean production is different from 5.5 tons, the system of hypothesis would be:  

Null hypothesis:\mu =5.5  

Alternative hypothesis:\mu \neq 5.5  

If we analyze the info given we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

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

z-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:  

z=\frac{5.24-5.5}{\frac{0.32}{\sqrt{16}}}=-3.25  

P-value

Since this is a two side test the p value would be:  

p_v =2*P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the production its significant different compared to the desired percentage of SiO2 of 5.5 at 5% of signficance.  

You might be interested in
How to write a rule for transformations
Luba_88 [7]
What's the question?
4 0
3 years ago
What is the exact distance from (-4, -2) to (3, 8) on the coordinate plane?
Veronika [31]

Answer:

√149 units

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[3 - (-4)]² + [8 - (-2)]²

√(7)² + (10)²

√49 + 100

√149

7 0
2 years ago
2.1n -5.31 = 18 <br> Question : Find n <br> Pls Answer !!
Daniel [21]

Answer:

n = 11.1

Step-by-step explanation:

2.1n = 18 + 5.31

2.1n = 23.31

n = 23.31 / 2.1

n = 11.1

Hope that helps!!!!

3 0
3 years ago
Read 2 more answers
Please please please help me with this answer
aleksandrvk [35]

57-29=28 so there is 28 green peppers

8 0
3 years ago
Complete the equation that is related to the given equation.
Mkey [24]
X <span>– (–6.9) = 42.8
</span><span>x + 6.9 = 42.8
</span>x = 35.9
6 0
3 years ago
Other questions:
  • Divide square root 9^2 by square root 18y^2
    8·1 answer
  • An example of an equation that is a linear function explain why it is linear
    11·1 answer
  • The local radio station played 9 hip-hop songs and 6 hard rock songs in one hour. What percent of the songs played during this h
    7·2 answers
  • a computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and additional 10 pesos per hour fo
    7·1 answer
  • Please help me this is the only thing to change my F-.to an A+.:
    6·2 answers
  • 15 POINTS PLEASE HELP
    7·1 answer
  • Crista pays $126 for 28 swimming lessons. Bill pays $30 for 6 lessons.
    10·2 answers
  • Can someone please help?
    5·1 answer
  • Help<br><br> Please<br> See the picture
    12·1 answer
  • SHOW WORK PLZ<br> 1/2(6x+5) = 3x+2.5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!