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
Directions: Find the inverse of each number.
Alisiya [41]

Answer:

Step-by-step explanation:

Additive inverse:

-3=3

14=-14

-28=28

-1/5=1/5

Multiplicative Inverse:

2/3=3/2

6/18=18/6

5=1/5

11=1/11

3 0
1 year ago
Read 2 more answers
1.13 Thank you! (Sorry it’s so blurry)
VikaD [51]
\sqrt[8]{48^4}  can be rewritten as 48^4 to the \frac{1}{8}  power:

(48^4)^ \frac{1}{8}

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:

(48^ \frac{1}{2})

This is equivalent to \sqrt{48}, so now, we just simplify:

\sqrt{48}=  \sqrt{16*3}= \sqrt{16}* \sqrt{3}=4 \sqrt{3}

So:

\sqrt[8]{48^4} =4 \sqrt{3} 


4 0
3 years ago
a craftsman drill is on sale for $99.99. If the sales tax rate is 7%, how much will molly have to pay for the drill?
Nadya [2.5K]
99.99 x (7%/100)= 6.9993
99.99+6.9993= 106.9893 (round up)
ANWSER- $106.99
Hope this helped.
8 0
3 years ago
Match the vocabulary word with the correct definition. 1. inverse operations terms that have the same variable(s), with each var
Licemer1 [7]

Answer:

inverse operations is with oppisite operations that undo each other.

open circle is circle not filled in to show that the point is a border value and is not included as part of the solution set.  

like terms is terms that have the same varible raised to the same exponent.

ordered pair is a group of two numbers written in the form (x, y) where the x value represents a horizontal position.

the last one numeric expressions is an expression involving only constants

Step-by-step explanation:

7 0
2 years ago
If one gallon of gasoline emits 20 pounds of CO 2 when burned in the internal combustion engine of my car, how much CO 2 does my
pashok25 [27]

Answer:

<em>Here</em><em> </em><em>you</em><em> </em><em>go</em>

Step-by-step explanation:

<em>PLEASE</em><em> </em><em>THANK</em><em>,</em><em> </em><em>RATE</em><em> </em><em>AND</em><em> </em><em>FOLLOW</em><em> </em><em>ME</em><em> </em>

<em>AND</em><em> </em><em>PLEASE</em><em> </em><em>MARK</em><em> </em><em>ME</em><em> </em><em>AS</em><em> </em><em>"</em><em>BRAINLIEST</em><em>"</em><em> </em><em>ANSWER</em>

<em>HOPE</em><em> </em><em>IT</em><em> </em><em>HELPS</em><em> </em><em>YOU</em>

5 0
3 years ago
Other questions:
  • of the animals at a shelter, 5/8 are cats. of the cats, 2/3 are kittens. what fraction ofthe animals at the shelter are kittens
    12·1 answer
  • Write an ordered pair corresponding to the point G.
    11·2 answers
  • How many 2-member committees can be formed from a group of 7 people?
    15·1 answer
  • Which of the following is a monomial? A.2x+yz, b.2+xyz c.2xyz 2 d.2x
    7·1 answer
  • Please help lol I have to get this done and not very good with math
    8·1 answer
  • Helpppp Plsssss ASAP!! Thanks​
    8·1 answer
  • What is the y-intercept for -1,3 1,-2
    5·1 answer
  • Find x.<br> U<br> X<br> T<br> N 14<br> 49<br> X=<br> I will make you brainlest
    6·2 answers
  • 4(x-1)-3(x-2)=-8<br> How do you solve this?
    11·2 answers
  • What are the coordinate of the point that is 1/5 of the way from A9-7, "-4)" to B(3, 6)? (1, 4) (-5, 0) (-5, "-2)" (0, 3)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!