A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 432 gram setting. It is believed that the machine is underfilling the bags. A 24 bag sample had a mean of 426 grams with a variance of 225. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
Answer:
The decision rule will be as follows: Reject the null hypothesis if test-statistic < -2.5 or fail to reject the
Now, Our test-statistic was -1.96, which is greater than -2.5. Thus, we will fail to reject the null hypothesis.
Step-by-step explanation:
We are given;
Population mean; μ = 432
Sample mean; x¯ = 426
Sample size; n = 24
Variance; Var = 225
Now, standard deviation from variance is; σ = √Var
Thus, σ = √225
σ = 15
Hypothesis is defined as;
Null hypothesis; H0: μ ≥ 432
Alternative hypothesis: Ha: μ < 432
Formula for the test statistic since sample size is less than 30 is;
t = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
t = (426 - 432)/(15/√24)
t = -1.96
Now,we are given significance level of 0.01; our DF = n - 1 = 24 - 1 = 23.
From t-table attached, we can see that at DF of 23 and significance value of 0.01, the critical value is 2.5
However, this is a left tailed test as the rejection region is to the left.
Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.5.
The decision rule will be as follows: Reject the null hypothesis if test-statistic < -2.5 or fail to reject the
Now, Our test-statistic was -1.96, which is greater than -2.5. Thus, we will fail to reject the null hypothesis.
Related Questions
Please help me answer this
Explain you’re answer
Will give braisnlt
Answers
Answer:
C
Step-by-step explanation:
Graph C is a function because if you look at all of the graphs it is the only one that doesn't repeat a point on the same x-axis. For example, On the first graph, it shows that A has to points that has a coordinate of -2, and the rest show that too, except for C.
The graph of y
2x2 is shifted 8 units down on a coordinate grid.
What are the roots of the equation that correspond to the new graph?
A. X=-2 and x = 2
B. X=-2 and x = 4
C. X = -4 and x = 2
D. x = -4 and x = 4
u
Answers
Answer: the correct answer would be A!
Step-by-step explanation:
Taking this test as well ☺️
Please help- (fill in the blank!)
Answers
Answer:
the integer that represents ground level is 0
Step-by-step explanation:
integers are all whole numbers so if those are negative in the ground 0 would be ground level
Elijah and 2 of his friends are each paid $20 per afternoon
for stuffing envelopes. If they work 5 afternoons, what
is the total amount of their earnings?
Answers
When comparing the two sets of data, what is a true statement
Answers
Answer:
b
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
if -3 + i is a root of the polynominal function f(x), which of the following must also be a root of f(x)
Answers
There are 20 houses on Rainbow Street. 45% of the houses have holiday decorations in their yard. How many houses have decorations?
Answers
Answer:
9 houses
Step-by-step explanation:
45% of 20 is 9 so the answer is 9
Total 9 houses have decoration on Rainbow Street.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
Total number of houses on Rainbow Street = 20,
The percentage of the houses which have decorations = 45%
The number of houses which have decoration
= 20×(45/100)
= 9
There are 9 houses that have decorations.
To know more about Percentage on:
https://brainly.com/question/24120406
#SPJ2
Given the pre image and the image, determine the scale factor
Answers
An equation is shown below:
4(x − 3) − 5(x + 1) = 3
Which statement shows a correct next step in solving the equation? (1 point)
A: The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.
B: The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
C: The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
D: The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answers
your answer is a
and x equals 20
help me pls due in 5 mins
Answers
Answer: [tex]215\ cm^2[/tex]
Step-by-step explanation:
Given
Here the given figure can be divided into two shapes i.e. rectangle and a trapezium
For rectangle ABCD Area = [tex]10\times8=80\ cm^2[/tex]
Area of trapezium CEFD Area is [tex]\frac{1}{2}[\text{sum of non-parallel sides}]\times[\text{distance between them}][/tex]
[tex]\Rightarrow \frac{1}{2}\times [10+17][10]=135\ cm^2[/tex]
Total shaded area [tex]=80+135=215\ cm^2[/tex]
Please solve for 25 points...
Answers
Answer:
if y intercepts than it should be b
Step-by-step explanation:
7x - 14=35 what value of x makes this equation true
Answers
Hello there, and welcome to Brainly!
In the following equation, you are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 14 to both sides of the equation:
7x - 14 (+14) = 35 (+14)
7x = 35 + 14
7x = 49
Next, divide 7 from both sides:
(7x)/7 = (49)/7
x = 49/7
x = 7
7 is the value for x that will make the equation true.
~
Somebody plz help me with this
Answers
Answer:
5) I=1848. total=3248
Step-by-step explanation:
interest = principal x rate x time /100
I=prt/100
p=1400
r=16.5%
t=8
i=1400*16.5*8/100
i=14*16.5*8
I=112*16.5
I=1848
What is the domain of f/g, given f(x)= x+6 and g(x) = x-5?
Answers
Answer:
(-infinity, infinity)
Step-by-step explanation:
Question 13 pts
Data from Ivy Tech's advising center shows the wait times as a normal distribution with the average as 20 min and a standard deviation as 5 min.
Using the empirical rule, what percent of students wait between 15 and 25 minutes?
What percent wait more than 20 min?
Using the empirical rule, what is the chance that someone waits less than 5 min?
Answers
Answer:
1. 68%
2. 50%
3. 15/100
Step-by-step explanation:
Here, we want to use the empirical rule
1. % waiting between 15 and 25 minutes
From what we have in the question;
15 is 1 SD below the mean
25 is 1 SD above the mean
So practically, we want to calculate the percentage between;
1 SD below and above the mean
According to the empirical rule;
1 SD above the mean we have 34%
1 SD below, we have 34%
So between 1 SD below and above, we have
34 + 34 = 68%
2. Percentage above the mean
Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%
3. Probability that someone waits less than 5 minutes
Less than 5 minutes is 3 SD below the mean
That is 0.15% according to the empirical rule and the probability is 15/100
What is the range for this set of data? 7, 15, 12
A. 3
B. 5
C. 8
D. 12
Answers
Answer:
8 is your answer
Step-by-step explanation:
Hope this helps sorry if I'm wrong
Answer:
8
Step-by-step explanation:
I'm doing the quiz rn.
find the premeter of the following rectangle
Answers
Answer:
skin has KFC c info lbs go off
a scale drawing of a room is shown below
Answers
25+29=9v solve for v
Answers
Answer: 486
Step-by-step explanation:
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
Answers
Answer:
Step-by-step explanation:
5!=5×4×3×2×1=120
so there are 5 distinct objects.
Answer:
The correct answer is option C. 5
Step-by-step explanation:
N=120
N=5
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir? A 75 B 61 C 48 D 80
Answers
Answer:
75 boys
Step-by-step explanation:
60 / 4 = 15
5 × 15 = 75
Please answer this question for me.
Answers
Answer:
Oslo
Berlin
Glasgow
London
Nice
berlin is 2nd coldest
glasgow is 3rd coldest
london is 4th
and nice is the hottest.
i hope this helps!!
From the table of values plot the points and connect them using a smooth curve.
Answers
Answer:
See attachment and explanation
Step-by-step explanation:
The question requires us to plot a graph of width on the x axis and area on the y axis.
We know that in plotting a graph, the nature of the values determines the shape and nature of the graph. The values we have here will ultimately lead us to a smooth curve as we can see from the excel document attached to this answer.
Gila's house is eight miles south and two miles east of her workplace. Her fitness center is three miles north and one mile east of her workplace. Find the area of the land formed between These three locations.
(Determinants & inverse matrices)
Answers
Answer:
6.98 miles
Step-by-step explanation:
please help its math will mark brainliest
Answers
Answer:
11 yards.
Step-by-step explanation:
4 + 5 + 2 = 11
Hope this helps : )
Answer:
19, 360
Step-by-step explanation:
1 mile = 1760
1760 × 11 = 19360
Which statement describes the domain of the function
Answers
Answer:
D: All real numbers except x=-1 and x=1
Step-by-step explanation:
Step-by-step explanation:
The domain of the rational expression is when the denominator is defined. (non-zero)
When the denominator is 0,
4x² - 4 = 0.
=> x² - 1 = 0, (x + 1)(x - 1) = 0, x = -1 or x = 1.
Hence the answer is all real numbers except x = -1 and x = 1.
through: (1,1) , slope = -3
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
slope = -3 or -3/1
y - intercept: (0,4)
slope intercept form equation: y = -3x + 4
Someone plz solve and check thanks
Answers
Remember to follow the order of operation, PEMDAS. PEMDAS stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
5. 9(7x - 4) = 27
First, distribute 9 to all terms within the parenthesis:
9(7x - 4) = 27
(9 * 7x) - (9 * 4) = 27
63x - 36 = 27
Next, isolate the variable, x. Do the opposite of PEMDAS.
First, add 36 to both sides:
63x - 36 (+36) = 27 (+36)
63x = 27 + 36
63x = 63
Isolate the variable, x. Divide 63 from both sides:
(63x)/63 = (63)/63
x = 63/63 = 1
x = 1
~
6. 5(3x + 8) = 175
First, distribute 5 to all terms within the parenthesis:
5(3x + 8) = (5 * 3x) + (5 * 8) = 15x + 40
15x + 40 = 175
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 40 from both sides:
15x + 40 (-40) = 175 (-40)
15x = 175 - 40
15x = 135
Next, divide 15 from both sides of the equation:
(15x)/15 = (135)/15
x = 135/15 = 9
x = 9
~
Which of the following shows the first step in determining if (-2,5) is a solution to the equation 3x+y=1
Answers
Answer:
its c
Step-by-step explanation:
-4x+y=3 plzz answerrr simplify itt
Answers
Answer:
x= -3/4 + y/4
Step-by-step explanation:
Move all terms that don't contain
x to the right side and solve.
Answer:
[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]
Step-by-step explanation:
[tex] - 4x + y = 3[/tex]
[tex] - 4x = 3 - y[/tex]
[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]
[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]
