A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 29 light bulbs has a mean life of 737 hours. Assume the population is normally distributed and the population standard deviation is 59 hours. At α=0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e)
Answer:
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
An Alternative hypothesis is accepted
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
Step-by-step explanation:
Step(i):-
Given that the mean life of a certain type of light bulb is at least 754 hours
Given that the random sample size 'n' =29
Given that the mean life of sample x⁻ = 737
Given that the standard deviation of the Population = 59
Step(ii):-
Null hypothesis: H₀: μ≥ 754
Alternative Hypothesis:H₁: μ≤ 754
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]
Z = -1.55
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at 0.08 level of significance
Final answer:-
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
how often did superwireless have faster download times than com-com in these examples
Answer:
most of the time .........
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
Most of the time
Ryan has constructed a multiple regression model and wants to test some assumptions of his regression model. In particular, he is testing for normality of the residuals. To do this Ryan should:
a. construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line
b. plot the residuals vs the predicted values of the response variable and check if the result is a random pattern
c. plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line
d. plot the residuals vs each explanatory variable to check if they are approximately random and form no clear pattern
e. construct a normal quantile plot of the residuals and see if the result is an approximately horizontal straight line
f. construct a normal quantile plot of the residuals and see if the result is an approximately downward sloping straight line
Answer:
plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
Step-by-step explanation:
Ryan should plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
The exact right action on what Ryan should do is not listed in the options listed below, hence I have just picked the closest on what Ryan should do if he is testing for normality of the residuals after constructing a multiple regression model
Normality of residuals test is performed to ensure that the residuals are properly/evenly distributed
2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.
Answer:
4/6
Step-by-step explanation:
(1/6 times 4)make 4 into a fraction and that is 4/1 multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6
The expression that represents the fraction is 1/6 * 1/4 or 1/24
How to determine the fraction?The given parameters are:
Amount of candy = 1/6 pounds
Number of bags = 4
The expression that represents the amount in each bag is:
Amount = Amount of candy/Number of bags
This give
Amount = 1/6 / 4
Express as product
Amount = 1/6 * 1/4
Evaluate
Amount = 1/24
Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24
Read more about fractions at:
https://brainly.com/question/11562149
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Charlie deposits $5,000 at his local bank and receives a 10% simple interest rate. How
much interest will Charlie have after 5 years?
Answer:
it is 11 years
Step-by-step explanation:
Hope it helps u
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The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?
Answer:
AB = 97
Step-by-step explanation:
AB is half of mABD.
start time 7:30 elapsed time 2 hours 20 minutes end time is
Which inequality is true (I ready diagnostic)
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Answer:
i'd be happy to help you, but there isn't an image attached.
Step-by-step explanation:
If k(x) = 2x^2-3√x, then k(9) is
1) 315
2) 307
3) 159
4) 153
Answer:
153
Step-by-step explanation:
k(9)=2×9^2-3/9
k(9)= 2×81-9
k(9)=153
Help please!!!!!!!!!! Need ASAP!! Thank you!
Maria can stuff envelopes twice as fast as her friend James. Together they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?
I thinks it's the last one
hope this helps
Answer:
B. 4.5/t + 4.5/(2t) = 1Step-by-step explanation:
Work = rate*timeMaria's rate = 6750/tJames's rate = 6750/2tTheir rate when working together:
6750/t + 6750/(2t) = 6750/4.5 ⇒ 1/t + 1/(2t) = 1/4.5 ⇒4.5/t + 4.5/(2t) = 1Correct choice is B
Can anyone help me, please?
Answer:
So first plot the points then move it the way ( x-3, y-4)
remember for the x axis you slide left to right and we know that left is negative so you would go left 3 times and for y you would go down 4 times do it for each point.
Which is a rational function?
Answer:
C is a rational function
Guys please last one ok
Answer:
last one, 4th
i really hope it helps.
How do I solve this?
14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
Answer:
15
Step-by-step explanation:
5^2 +14^2=C^2
25+196=C^2
221=C^2
√221=√C^2
14.86=C
appr 15 =C
can someone help, please :)
what is the answer for is I need help please. 4/5 - 1/4
Answer:
11/ 20
Step-by-step explanation:
it cannot be reduced any further
Answer: 11/20 or in decimal 0.55
Step-by-step explanation:
[tex] \sqrt[3]{54} [/tex]
How do I solve?
Answer:
find the cubic root of the number given
What is the perimeter, in units, of ΔABC Δ A B C with A(−1,−6) A B(7,−6), and C(3,−3)
Answer:
the perimeter in unites of abc with 3, -3 is a
Answer:
18 Units
Step-by-step explanation:
According to the calculator
Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown in the table.
Part A: Who runs faster?
Part B: If Becca and Kimberly are 5 hours into a marathon, how far has each run?
Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
PLEASE HELP I WILL GIVE BRAINLIEST! Mason already has 11 plants in his backyard, and he can also grow 1 plant with every seed
packet he uses. How many seed packets does Mason need to have a total of 20 plants in his
backyard?
Mason needs 9 more seed packets to have a total of 20 plants in his yard.
Simplified:
20-11=9
what is this y=
[tex] \frac{3}{2}x+3 [/tex]
the y=-3
Answer:
X=-4
Step-by-step explanation:
If you are finding x,
set these two functions equal to each other
3/2x+3=-3
3/2x=-6
x=-4
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
Pls help me if I cabbnnnnsbdhdhdjdjxjkxx
Answer:
33.49 mm³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {2}^{3} [/tex]
[tex] = \frac{100.48}{3} [/tex]
[tex] = 33.4933333...[/tex]
= 33.49 mm³ (rounded to the nearest hundredth)
What is the value of x in the triangle?
Answer:
C) 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
in an isosceles triangle, the hypotenuse equals a leg multiplied by [tex]\sqrt{2}[/tex]
NOOOO LINKS FILES
At a contest, each diver was scored on a 1-10 scale for each of 8 divee. This data set shows the scores earned by one of the divers
83 8 6 8 834
Which value represents the median of the data set?
A.5
B.6
C.7
D.8
Answer:
6 is the median
Step-by-step explanation:
The median is the same as the number in the middle, and the number in the middle is 6.
put in a new
A rectangular garage is 11 yards long and 5 yards wide. It costs $2.00 per square yard
concrete floor. How much would it cost to put a new concrete floor in the garage?
Answer:
$110
Step-by-step explanation:
The first step would be to multiply 11 and 5 to get the result of 55.
Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.
Finally after multiplying 55 and 2 you would get the answer of $110.
Hope this helped! Have a great day! :)
$987.65 is invested at 0.4% annual interest for 5 years.
a. Simple Interest b. Compound Interest
Answer:
I. Simple interest = $19.753
II. Compound interest = $1007.6
Step-by-step explanation:
Given the following data;
Principal = $987.65
Interest rate, R = 0.4%
Time, T = 5 years
To find the simple interest;
S.I = PRT/100
S.I = (987.65*0.4*5)/100
S.I = 1975.3/100
S.I = $19.753
II. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 987.65(1 + \frac{0.4}{100})^{5}[/tex]
[tex] A = 987.65(1 + 0.004)^{5} [/tex]
[tex] A = 987.65(1.004)^{5} [/tex]
[tex] A = 987.65(1.0202)[/tex]
A = $1007.6
If M is the midpoint between A and C, given A(2,9) and M(0,7). Use desmos to help
The endpoint C is
Answer:
(1, 8)
Step-by-step explanation:
HELP ME PLEASEEEEEEEEE
Answer:
is it 56 units²? if not sorry
Urgent need help now
Answer:
a= (-5,8)
b= (-9,8)
c= (-9,5)
d= (-5,5)
