Complete question :
A data set includes data from student evaluations of courses. The summary statistics are nequals92, x overbarequals4.09, sequals0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Answer:
H0 : μ = 4.25
H1 : μ < 4.25
T = - 2.79
Pvalue =0.0026354
we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Step-by-step explanation:
Given :
n = 92, xbar = 4.09, s = 0.55 ; μ = 4.25
H0 : μ = 4.25
H1 : μ < 4.25
The test statistic :
T = (xbar - μ) ÷ s / √n
T = (4.09 - 4.25) ÷ 0.55/√92
T = - 0.16 / 0.0573414
T = - 2.79
The Pvalue can be obtained from the test statistic, using the Pvalue calculator
Pvalue : (Z < - 2.79) = 0.0026354
Pvalue < α ; Hence, we reject the Null
Thus, we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Answer:
Step-by-step explanation:
The null and alternative hypotheses are:
Null hypothesis: The population mean of student course evaluations is equal to 4.25.
Alternative hypothesis: The population mean of student course evaluations is not equal to 4.25.
The significance level is 0.01, so the test will be a two-tailed test.
The test statistic is calculated as:
t = (x - μ) / (s / √n) = (4.18 - 4.25) / (0.54 / √97) = -2.63
The degrees of freedom for the t-distribution is n-1 = 96. Using a t-table or a calculator, the P-value for a two-tailed test with 96 degrees of freedom and a t-value of -2.63 is approximately 0.010.
Since the P-value (0.010) is less than the significance level (0.01), we reject the null hypothesis. We have sufficient evidence to conclude that the population mean of student course evaluations is not equal to 4.25.
In other words, the data provides strong evidence to suggest that the average student course evaluation rating is significantly lower than 4.25.
Refer to the table below to answer problems 25-27.
(TABLE) Mark's Personal Running Records Distance Time (minutes:seconds)
1/4 mile: 0:58
1/2 mile: 2:12
1 mile: 5:00
If Mark set his 1-mile record by keeping a steady pace, then what was his 1/2 -mile time during the 1-mile run?
Answer:
it will be 2:50
Step-by-step explanation:
Measuring your fitness level regularly is one way to find out if you're making progress. Most fitness centers have trained staff who can evaluate your body composition, muscular strength and endurance, flexibility, and cardiovascular endurance, but it can be pricey. If you don’t have access to all the toys and tools of your gym, don’t panic. You have everything you need to measure your fitness level in your own house!
This One-Mile Walking Test measures your aerobic (cardiovascular) fitness level based on how quickly you are able to walk a mile at a submaximal (moderate) exercise intensity.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter .to the nearest meter ,how many meters are in 241 inches ?
Answer:
6.12 meters
Step-by-step explanation:
8b + 32
b=7
also an expression equivalent to 8b + 32 and why
Factor completely 21x3 + 35x2 + 9x + 15.
Answer:
= ( 3 x + 5 ) ( 7 x² + 3 )
Step-by-step explanation:
Need some help on this question
Answer:
9.We know that
6 × 3 = 2 × x
18 = 2x
x = 9
The percentage of students in the school that attended the talent show for the years 2008 to 2013 are shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
This year, the school has a total of 360 students. How many students will attend the talent show this year (in %)
The school has a total of 360 students. The number of students that would attend this year is 357.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
Number of students that would attend this year
= percentage of students that attended in 2013 x total number of students
[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]
Thus, 357 to the nearest whole number.
Learn more about percentages;
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[tex]if x^2 = 17x + y \: and \: y {}^{2} = 17y + x \: then \: find \sqrt{x {?}^ + {y { }^{2} + 1 } } [/tex]
Answer:
Bro wat
Step-by-step explanation:
This trapezoid-based right pyramid has a volume of 48 m3 what is the area?
Answer:
18m^3
Step-by-step explanation:
Khan Academy, It shows how to do the steps
Write an equation, and solve. Round your answer to the nearest cent.
If 3 oz of granola costs $3.03, find the cost of 16 oz of granola.
The cost of 16 oz of granola should be $
Answer:
The cost of 16 oz of granola should be $16.16
Step-by-step explanation:
Given that,
The cost of 3 oz of granola is $3.03
We need to find the cost of 16 oz of granola..
As 3 oz = $3.03
1 oz = (3.03/3) = $1.01
The cost of 16 oz will be :
16 oz = 16×1.01
= $16.16
Hence, the cost of 16 oz of granola should be $16.16.
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answer:
.764
Step-by-step explanation:
do it on a calculator (TI84)
Answer:
45.6°
Step-by-step explanation:
take the inverse cosine of 7/10: [tex]cos^{-1}(\frac{7}{10})[/tex]
plug it into a graphing calc and you get ≈ 45.573°, they want 1 decimal place so it would be ≈ 45.6°
I will give the BRAINEST
State how many solutions each equation has.
x2
-100
5x2
1
6x2 + 17 = 11
7 (x² + 6)
42
Answer:
-100x4xx=17xStep-by-step explanation:
goodluck
What is the decimal equivalent of the fraction 8/15?
0.53
_
0.53
Show work!!
9514 1404 393
Answer:
0.533... (repeating)
Step-by-step explanation:
You will notice that the division problem repeats when the quotient digit is 3. The decimal equivalent is a repeating decimal with a 1-digit repeat. That digit is 3.
[tex]\dfrac{8}{15}=0.5\overline{3}[/tex]
Answer:
0.5333333…. (3 repeated)
Step-by-step explanation:
8 goes on the inside of the house and 14 on the outside
*Not my handwriting. A friend wrote it and I did the math*
The supermarket sells juice in 16- and 32-ounce bottles. If Warren wants to bring home 144 ounces of juice in 7 separate bottles, which system of equations should he solve to determine how many 16- and 32-ounce bottles to buy? (Let x represent the number of 16-ounce bottles and y represent the number of 32-ounce bottles.)
A. 32x+16y=144 x+y=7
B. 16x+32y=144 x+y=7
C. 32x+16y=144 x+y=144
D. 16x+32y=7 x+y=32
Triangle ABC is inscribed in a circle O. What is the measure of Angle A?
Answer:
answer is 40 degree
Step-by-step explanation:
hope it helps!!!
Given N , what is mABC
find the cost of fencing a rectangular field 250m long and 130m wide at rupees 30 per meter
Answer:
length of rectangular =250m
breath =130m
perimeter of rectangular field =(130*250)
=32500m
cost of fencing a rectangular field at the rate of 30 per meter
cost of the rectangular field =32500*30
=rupees 975000
hope it helps
plz help for a brainly
Answer:
364yd^2
Step-by-step explanation:
LxWxH
Answer:
its 364
Step-by-step explanation:
you do length times width times height
Reem is 5 years older (bigger) than 3 times Sara's age.
If Reem is 28 years old, how old is Sara?
Answer: 7 2/3
R = 3s + 5
28 = 3s + 5
23 = 3s
s = 7 2/3
Please help! Will give brainliest!
Don't give a like.
9514 1404 393
Answer:
fractiondenominatorproductnumeratorStep-by-step explanation:
When you multiply a fraction by a whole number, the denominator in the product is the same as the denominator of the fraction. The numerator in the product is the product of the whole number and the numerator of the fraction.
__
That's the rule. It is derived from the fact that multiplication indicates repeated addition.
[tex]\dfrac{2}{7}\times3=\dfrac{2}{7}+\dfrac{2}{7}+\dfrac{2}{7}=\dfrac{2+2+2}{7}=\dfrac{2\times3}{7}\qquad\text{for example}[/tex]
3 units to the right of 8 answer
Answer:
11
Step-by-step explanation:
If you're at 8 and move 3 to the right in a number line, you would end up at 11.
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT.
Answer:
b- If two sides are perpendicular, then it is a right triangle. It can be isosceles or scalene. It cannot be equilateral because all the angles in an equilateral triangle are acute.
Step-by-step explanation:
An equilateral triangle has 3 equal sides and 3 congruent angles, each with an acute measure of 60 deg.
If two sides are perpendicular, they form a right angle, w/ measure of 90 deg. Therefore, cannot be equilateral.
30-60-90 triangles are quite common and useful in geometry... they are scalene and have 2 perpendicular sides.
45-45-90 triangles are isosceles and have 2 perpendicular sides.
Both are types of right triangles.
18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey
chocolate bars, what percent of the candy was Hershey chocolate bars?
19. On a recent test, there were 15 multiple-choice questions and 25 fill-in-the-blank problems. What percent of
the problems were fill-in-the-blank problems? (Hint: How many problems were on the entire test.)
Answer:
18. 30%
19. 62.5%
Step-by-step explanation:
42/140 mult by 100 30%
25 + 15 = 40
25/40 mult by 100 62.5%
1,1,1,2,2,2,2,3,4,4,5,7,8,12,14 what's the median mode and the and range for these numbers
Answer:
median: 3
mode: 2 (appeared 4 times)
range: 13
Step-by-step explanation:
Change to slope-intercept form. Then find the y-intercept, first point, and second point.
x + 3y > 9
slope intercept form
y -Intercept
first point (let x=0)
second point
Answer:
[tex]x + 3y > 9 \\ 3y > - x + 9 \\ y > - \frac{1}{3} x + 3 \\ y - intercept \: is \: 3 \\ first \: point = 3 \\ second \: point \: = 9[/tex]
Which expression is equivalent to..
Which phrase is a description of 7t-3?
Will give the brainliest answer and 20 points to anyone who can give a complete answer and not a scam link or a joke answer or begging for points (those 3 types of answers will be reported)
A grocery store manager notices that this month her store sold a total of 571 gallons of ice cream, which represents a decrease of 18% from last month. How much ice cream did the store sell last month? Round your answer to the nearest integer.
The store sold ____________ gallons of ice cream last month.
Answer:
673.8
Step-by-step explanation:
find the surface area 3 No files
Answer:
872 sq inches
Step-by-step explanation:
Total surface area = 2 × (17 × 12) + 2 × (8 × 17) + 2 × (12 × 8)
= 408 + 272 + 192 = 872
A bag contains 5 red marbles, 8
green marbles, 6 orange marbles, and
11 yellow marbles. What is the
probability of randomly choosing
an orange marbles
Answer:
1/5
Step-by-step explanation:
First you need to find the total amount of marbles
5+8+6+11= 30
There are 6 orange marbles
So the probability is 6/30 which reduces to 1/5
Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is planning on having three children. List the elements of the event that the Lins have at least one girl. (Use B to represent boy, and G to represent girl. For example, if there are three girls born, it would be represented as GGG).
Answer:
[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]
Step-by-step explanation:
Given
[tex]Children = 3[/tex]
Required
List all cases of having at least 1 girl
We have:
[tex]B = Boy[/tex]
[tex]G = Girl[/tex]
For 1 girl, we have:
GBB; BGB; BBG
For 2 girls, we have:
GGB; BGG; GBG
For 3 girls, we have:
GGG
Hence, the list is:
[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]