The manager of a bakery states in a report that the average value of customer transactions is greater than $13.65. A random sample of 38 transactions was taken, yielding an average of $14.92 with a standard deviation of $5.51. (a) Which hypotheses should be used to show the manager's claim is correct? H0: p = 14.92 vs. Ha: p > 14.92 H0: p = 13.65 vs. Ha: p > 13.65 H0: μ = 13.65 vs. Ha: μ > 13.65 H0: μ = 14.92 vs. Ha: μ > 14.92 (b) Find the test statistic: (Use 4 decimals.) (c) What is the p-value? (Use 4 decimals.) (d) What is the conclusion of the hypothesis test, for α = 0.05? --- the value $13.65. There is --- evidence the mean transaction value is greater than $13.65. (e) Regardless of your conclusion above, what is the meaning of a Type II error in this context? you conclude the average transaction value is greater than $13.65, in reality the average transaction value is greater than $13.65. You conclude the average transaction value is equal to $13.65, in reality the average transaction value is equal to $13.65. You conclude the average transaction value is greater than $13.65, in reality the average transaction value is equal to $13.65. You conclude the average transaction value is equal to $13.65, in reality the average transaction value is greater than $13.65.
Answers
Answer:
A) Null Hypothesis; H0: μ = 13.65
Alternative hypothesis; Ha: μ > 13.65
B) t = 1.42
C) The p-value is greater than the significance level of 0.05. Thus, we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean transaction value is greater than $13.65.
D) type II error will be to conclude the average transaction value is equal to $13.65, in reality the average transaction value is greater than $13.65.
Step-by-step explanation:
We are given;
Population mean; μ = $13.65
Sample mean; x¯ = $14.92
Sample standard deviation; s = $5.51
Sample size; n = 38
DF = n - 1 = 38 - 1 = 37
Significance level; α = 0.05
A) The hypotheses is defined below;
Null Hypothesis; H0: μ = 13.65
Alternative hypothesis; Ha: μ > 13.65
B) Since we are given sample standard deviation, we will use formula for t-value. Formula for the test statistic is;
t = (x¯ - μ)/(s/√n)
t = (14.92 - 13.65)/(5.51/√38)
t = 1.42
C) From online p-value from t-score calculator attached, using; t = 1.42, α = 0.05, DF = 37, one tail, we have;
P-value = 0.08199
D) The p-value is greater than the significance level of 0.05. Thus, we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean transaction value is greater than $13.65.
E) A type II error simply means accepting a null hypothesis that is not true.
Now, in this case what it will mean is to accept the null hypothesis.
Thus, type II error will be to conclude the average transaction value is equal to $13.65, in reality the average transaction value is greater than $13.65.
Related Questions
ABX Clothing manufactures expensive jackets for sale to college stores in runs of up to
150. Its cost (in dollars) for a run of jackets is
() = + + .
, ( ≤ ≤ )
(a)ABX Clothing sells the jackets at $90 each. Find the revenue function.
(b) Find the profit function.
(c) How many should ABX Clothing manufacture to make a profit? (Round your answer up to
the nearest whole number.)
Answers
Answer:
a. R(x) = 90x b. -1500 -10x - 0.2x c. 148
Step-by-step explanation:
a. Since we have x jackets produced at a rate of $90 per jacket, the revenue function, R(x) = rate × number of jackets = 90 × x = 90x
R(x) = 90x
b. Since the cost function is C(x) = 1500 + 100x + 0.2x, the profit function P(x) = Revenue function - cost function = R(x) - C(x) = 90x - (1500 + 100x + 0.2x)
P(x) = -1500 + 90x - 100x - 0.2x
P(x) = -1500 - 10x - 0.2x
c. For a profit, P(x) > 0
-1500 - 10x - 0.2x > 0
0.2x + 10x + 1500 < 0
10.2x + 1500 < 0
10.2x < -1500
x < -1500/10.2
x < -147.05
x < -147
So, ABX Clothing needs to produce greater than 147 jackets to make a profit. So, they need to make 148 jackets to make a profit.
The sum of three consecutive integers equals 39 more than the least of the integers. Find the integers
Answers
Answer: 12, 13, 14
Explanation: This was on my test last week and this is the correct answer.
Answer:
18, 19, 20
Step-by-step explanation:
We can have the lowest number be [tex]x[/tex], and the second and third numbers be [tex]x+1[/tex] and [tex]x+2[/tex]. Now we have the equation [tex]x+x+1+x+2=x+39.[/tex]
[tex]3x+3=x+39\\\\2x=36.[/tex]
x=18, so the numbers are 18, 19, and 20.
The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain
At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?
Show your work in the box below.
Answer _____________ price per gram of gold
Answers
Answer:
THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL
Step-by-step explanation:
M/x =n-p, x for p ??
Answers
Answer:
the answer is A) X=m/n-p
Step-by-step explanation:
m/x=n-p
n-p=m/X
(n-p)×x=m
X=m/n-p
solve each system by substitution
x – y = -4
2x + y = 4
Answers
Answer:
Step-by-step explanation:
x -y = -4
2x + y = 4
3x = 0
x = 0
0 + y = 4
y = 4
(0,4)
Lucy is making the same bracelet for 8 of her friends. She has 32 beads. How many beads can she put on each bracelet?
Answers
Answer:
4 beads in each bracelet
Step-by-step explanation:
You divide 32 by 8 which gives you 4 because 8 multiplied by 4 equals 32
A 6000-seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $174,000?
Answers
Step-by-step explanation:
Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;
x+y = 6000 .............. 1
If x tickets cost $25 and y tickets are sold for $40 with total revenue of $174,000, then;
25x + 40y = 174,000................ 2
From 1, x = 6000-y ............ 3
Substitute equation 3 into 2:
25x + 40y = 174,000.
25(6000-y) + 40y = 174,000
150,000-25y + 40y = 174,000
150,000+15y = 174,000
15y = 174,000-150,000
15y = 24,000
y = 24,000/15
y = 1600
Substitute y = 1600 into equation 3:
x = 6000-y
x = 6000-1600
x = 4400
Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000
24. Critical Thinking Anika wants to determine the maximum
number of tulip bulbs (t) she can purchase if each bulb costs $1.50.
She will also need to purchase separate pots for each bulb at $1.25
each and a bag of potting soil for $10.00. Set up an inequality to
determine how many tulip bulbs Anika can purchase without
spending more than $20.00, and solve it. Can Anika buy exactly
enough bulbs and pots to spend the full $20.00? Explain. Can you
think of a better inequality to describe the answer?
Answers
Answer:
t ≤ 3 ; kindly check explanation for more explanation
Step-by-step explanation:
Given that :
Number of tulip (t) =?
Cost of bulb = $1.50
Pot for each bulb purchased at =$1.25
Bag of potting soil = $10.00
Number of tulip bulb that can be purchased without spending more than $20
Cost of tulip bulb = [(cost per bulb + cost per pot) * number purchased (t) + cost of bag of potting soil]
Cost = [(1.50 + 1.25)t + 10]
If spending should not exceed $20
2.75t + 10 ≤ 20
2.75t ≤ 20 - 10
2.75t ≤ 10
t ≤ 10/2.75
t ≤ 3.64
He cannot purchase more than 3 tulip bulbs
Anika cannot buy exactly enough tulip bulbs an pot to spend the full $20 because the number obtained is a fraction and not a whole number.
HELP PLEASE I WILL MARK BRAINLIEST AND GIVE YOU THANKS AND % STARS
Which expression is equivalent to (3x-5)+(x+2y)
Answers
Answer:
4x-3y
Step-by-step explanation:
Answer:
(3x-5y) + (x+2y)
Let just go ahead and open brackets and simplify
3x - 5y + x + 2y
3x + x + 2y - 5y
4x - 3y
Brainliest??
Simplify.
Remove all perfect squares from inside the square root.
450
Answers
Answer:
[tex]15 \sqrt{2 } [/tex]
that the answer
Solve for x . − 9 x + 2 > 18 AND 13 x + 15 ≤ − 4
Answers
Answer:
x<−
9
--
16
and x≤−
13
--
19
Step-by-step explanation:
ILL GIVE BRAINLIEST PLZ HURRY
Answers
Answer:
Mode = 86Median = 86Mean = 86Range = 15Step-by-step explanation:
Hope this helps! <3
The Area of a rectangle is 46sq in, length is 4 times width find dimensions
Answers
w=11.5
where w is the width
Answer:
I guess you need all your numbers to be multiblyed to get 46
Step-by-step explanation:
what is basikly the question
Solve for k for the equation h+p=3(k-8)
Answers
Answer:
h/3 + p/3 + 8 = k
Step-by-step explanation:
h+p=3(k-8)
h+p=3k-24
h+p+24=3k
h/3 + p/3 + 8 = k
Answer
k=(h+p+24)/3
Step-by-step explanation:
h+p=3(k-8)
h+p=3k-24
h+p+24=3k
k=(h+p+24)/3
M/2+ m evaluate if m =-6
Answers
Please answer if you can! Really important worksheet due and I can’t figure this one out
Answers
Answer:
Step-by-step explanation:
2. 75° (vertical angle)
3. 180 - 75 = 105° (supplementary angle)
4. 105° (exterior alternate angle)
5. 75° (corresponding angle)
6. 65° (vertical angle)
miguel writes the expression 2n^4. He say that when you double the value of n, you double the value of the expression. Do you agree or disagree? Explain
Answers
Answer:
No, I disagree
Step-by-step explanation:
2n^4
let's put n to a real number. How about 2.
(2*2)^4=256
(2*4)^4=4096
No, I disagree, it doesn't double the expression.
Disagree. When you double the value of n, you quadruple the value of the expression.
What is proportionality?In mathematics, proportionality indicates that two quantities or variables are related in a linear manner. If one quantity doubles in size, so does the other.
Now the given expression is,
2n^4
Let y = 2n^4
Since 2 is the constant and y and n are variables.
Thus we can write,
y ∝ n^4
This means when value of y increases one time, the value of n increases 4 times.
Thus,you Disagree. When you double the value of n, you quadruple the value of the expression.
To learn more about proportionality :
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A cube has edges of 8 inches, what is the volume of the cube? Use the formula V = S3
24 cubic inches
64 cubic inches
512 cubic inches
4,096 cubic inches
Answers
write the expression useing exponents 4×4×4×4
Answers
Hope that helped:)
Write 8x10 3 in standard notation
PLEASE HELP
(10 3 = ten to the third power)
Answers
Answer:
8,000
Step-by-step explanation:
you have to move the decimal to the right 3 times. so you take 8 and move the decimal 3 times. which gives you 8000.
or 8,000
The solution is: 8x10^3 in standard notation is 8,000.
Here, we have,
given that,
the expression is: 8 x 10^3
now, we have to write 8 x 10^3 in standard notation.
we know that,
A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules.
For example, 4.5 billion years is written as 4,500,000,000 years.
we know,
To change a number from scientific to standard notation, move the decimal point the number of places shown in the exponent of 10.
here, we have,
8 x 10^3
= 8 x 1000
so, we have to move the decimal to the right 3 times. so we take 8 and move the decimal 3 times. which gives 8000.
we get,
8 x 10^3 = 8000
Hence, The solution is: 8 x 10^3 in standard notation is 8000.
learn more on standard notation :
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if andre rides his bike for 8 miles, how long will this take?
Answers
Answer:
25 minutes
Step-by-step explanation:
it kinda depends on how fast hes going but most likely 25 minutes
2.4 x 0.87 help help help
Answers
Answer:
2.088
Step-by-step explanation:
Trust me I am in high school honors algebra with almost an average of 100.
The product of 2.4 x 0.87 is 2.088.
What is a decimal ?A decimal is represented by a dot which separates the whole part and the fractional part of a number.
According to the given question we have to multiply two decimals numbers 2.4 and 0.87.
Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.
So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.
learn more about decimals here :
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Solve for x: 4x +
(2x + 4) > 12
Quick help me pls
Answers
Answer:
x > 2
Step-by-step explanation:
Original Equation:
4x + 0.5(2x + 4) > 12
0.5 multiplied by 2x = 1x
0.5 multiplied by 4 = 2
4x + 1x + 2 > 12
4x + 1x = 5x
5x + 2 > 12
Subtract 2 from both sides.
5x > 10
Divide both sides by 5
x > 2
Hope I helped :)
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GIVING 30 POINTS
need it RN
Which equation represents a line which is perpendicular to the line
5x + 4y = -24?
Answers
What are the solutions of this quadratic equation?
x + 10 = 0
Answers
What is the equation of the line that passes through the point (4,0) and has a slope of 5/4
Answers
Answer:
The answer is y=5/4x-5
Step-by-step explanation:
The required equation of the line that goes through the point (4, 0) and has a slope of 5/4 is y = 5/4x - 5.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
The equation of a line with slope m and passing through the point (x₁, y₁) can be found using the point-slope formula:
y - y₁ = m (x - x₁)
Plugging in m = 5/4, x₁ = 4, and y₁ = 0, we get:
y - (0) = 5/4 (x - (4))
Simplifying, we get:
y = 5/4x - 5
Thus, the equation of the line is y = 5/4x - 5
Learn more about slopes here:
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Two cars are 180 mi apart and travel toward each other along the same road. They meet in 4 hr. One car travels 5 mph slower than the other car. What is the
average speed of each car?
Answers
Answer:
The speed of the slower car = 20 mph
The speed of the faster car = 25 mph
Step-by-step explanation:
Let the speed of the slower car be s - 5
Let the speed of the other car be s
Two cars are 180 mi apart and travel toward each other along the same road. They meet in 4 hr.
Hence, the total speed = Distance/Time
= 180 miles/4hr
= 45 miles/hr or 45mph
Therefore:
s + s - 5 = 45 mph
2s - 5 = 45 mph
2s = 45 + 5
2s = 50
s = 50/2
s = 25 mph
The speed of the other car = s = 25mph
The speed of the slower car be s - 5
s - 5
= 25 - 5 = 20mph
Therefore,
The speed of the slower car = 20 mph
The speed of the faster car = 25 mph
The 5 members of the
Jackson family went
to a hockey game.
They paid $20 for
snacks. In all, the
tickets cost 4 times
the cost of the snacks.
How much did a
single ticket cost?
Answers
Answer:
16
Step-by-step explanation:
80 divide by 5 is 16
please help me........
Answers
Answer:
Step-by-step explanation:
so the y axes is up and down and the x axes is left to right so point d and point e have the same y axes but they have opposite x axes so instead of negative four to the left its positive 4 to the right
In the figure, <6 and <2 are
Answers
Answer:
d
Step-by-step explanation:
consecutive angles aren't a thing and the others there would have to be an angle on the other side.
