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
Elina [12.6K]
2 years ago
10

A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weig

ht is known to be​ normal, with a standard deviation of 0.4 ounces. A random sample of 25 boxes yielded a sample mean weight of 19.87 ounces. Test at the 1​% significance level the null hypothesis that the population mean weight is at least 20 ounces.
Mathematics
1 answer:
jenyasd209 [6]2 years ago
7 0

Answer:

z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625    

The p value for this case would be given by:

p_v =P(z  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Step-by-step explanation:

Information provided

\bar X=19.87 represent the sample mean

\sigma=0.4 represent the population deviation

n=25 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0.01 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625    

The p value for this case would be given by:

p_v =P(z  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

You might be interested in
Suppose taxi fare from Logan Airport to downtown Boston is known to be normally distributed with a standard deviation of $2.50.
Mariulka [41]

Answer:

95% Confidence interval for taxi fare:  ($20.5,$24.2)

Step-by-step explanation:

We are given the following data set: for fares:

$22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{156.5}{7} = 22.35

95% Confidence interval:

\bar{x} \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

22.35 \pm 1.96(\frac{2.5}{\sqrt{7}} ) = 22.35 \pm 1.85 = (20.5,24.2)

6 0
3 years ago
-10÷0.22 what is the answer​
Juliette [100K]

Answer:

-45.4545454545 *45 repeating*

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
If f(x) = 3 ^ x - 4 what is f(- 2) ?​
Karolina [17]

Answer:

-35/9

Step-by-step explanation:

(3^-2)-4

1/9-4

-35/9

8 0
2 years ago
Can someone please help me with this by tonight
melamori03 [73]
Wat is your question
3 0
3 years ago
How many solutions does x2 = 9 have?​
MrRa [10]
It should have 2 solutions
5 0
2 years ago
Read 2 more answers
Other questions:
  • Can someone please help me
    7·1 answer
  • There are 13 boys and 15 girls in Ms. Green’s 3rd period math class. Five girls and four boys have already been called on today.
    11·1 answer
  • How Do I Solve 3/2y= 16/y+2
    6·1 answer
  • larry wants to buy some carpeting for his living room. the length of the room is 3 times the width and the total area of the roo
    5·2 answers
  • Indicate whether or not each system of equation is constant and constant or dependent
    14·1 answer
  • Anyone plz help I need it
    13·1 answer
  • Select the postulate that is illustrated for the real numbers.
    7·1 answer
  • Oil consumption in China grew exponentially from 8.938 million barrels per day in 2010 to 10.480 million barrels per day in 2013
    10·2 answers
  • Find the 20th term in the arithmetic sequence<br> -4,1,6,11,16
    5·1 answer
  • Choose Yes or No to tell if the fraction 58 will make each equation true. 815−□=37 Yes □−516=58 No 78−12=□ No 34−18=□ Yes
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!