A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. Conduct a hypothesis test to determine if the means are statistically the same assume alpha is 0.05.
Answer:
We accept H₀. We don´t have enough evidence to support the difference between the two means
Step-by-step explanation:
Group 1 : Comunity College
Sample:
size : n₁ = 54
Sample mean x₁ = 947
Sample standard deviation s₁ = 254
Group 2 : Local University
Sample
size : n₂ = 66
Sample mean : x₂ = 1011
Sample standard deviation s₂ = 87
Significance level α = 0,05 α = 5 % CI = 95 %
Both samples are with n> 30 so we can use z table for the test
from z-table we find z(c) = 1,96
The problem statement establishes to run a hypothesis test to determine if the means are statistically the same ( or different) then we use two-tail-test
Hypothesis Test
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative hypothesis Hₐ x₁ - x₂ ≠ 0 or x₁ ≠ x₂
To calculate
z(s) = ( x₁ - x₂ ) / √ s₁²/n₁ + s₂²/n₂ )
z(s) = 947 - 1011 / √ (254)²/54 + (87)² / 66
z(s) = - 64 /√ 1194,74 + 114,68
z(s) = - 64 / 36,185
z(s) = - 1,77
Comparing modules of |z(c)| and |z(s)|
z(s) < z(c)
Then z(s) is in the acceptance region we accept H₀ . There is not enough evidence to support differences in the means of the two groups
Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. and a tube of paint covers 300 square inches. What is the surface area? and how many tubes of paint should Jerome buy?
Answer:
He should buy 3 tubes of paint.
Step-by-step explanation:
20×10×8=880
880÷300=2.93
2.93≈3
So, Jerome should buy 3 tubes of paint.
Brainliest please!
1. What is the difference in the ranges?
A 5 points
C 20 points
B 10 points
D 35 points
2. Which test has a greater median?
A Test 1
B Test 2
C They have the same median.
D You cannot tell from the dot plots.
Help :)))))))
And branlist wil come!!
Answer:
y * 2.5 = x
Step-by-step explanation:
y= inch
x= conversion from inch to cm
what is the difference of -4-2 1/2?
She has 12 watermelons, 30 pears, and 42 apples
For each basket Kerra makes they must have the same number of fruit.
She must use all the fruit.
What is the greatest number of baskets that Kerra can make?
In a random sample of 10 residents of the state of Florida, the mean waste recycled per person per day was 2.1 pounds with a standard deviation of 0.59 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Florida. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Someone pls help me out thanks
Answer:
C(7,-8)
R= 8
The general formula of a circle = (x-a)+(y-b)=r²
the area of the trangle is......
Answer:
30 cm²
Step-by-step explanation:
To find the area of a triangle, multiply the base and the height, then, divide the product by 2.
In this case, the base is 6 and the height is 10.
6 x 10 = 60
The product is 60.
60 / 2 = 30
Therefore, the area of this triangle is 30 cm².
Answer:
30
Step-by-step explanation:
Formula for area of a triangle: [tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The triangle shown has a base length of 6 cm and a height of 10 cm
Using this information we plug in the values into the formula
So...
[tex]A=\frac{10*6}{2} \\10*6=60 \\\frac{60}{2} =30[/tex]
Hence, the area of the triangle is 30 square centimeters.
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]
50 Points! Will give brainliest!
Answer:
D.
Step-by-step explanation:
4x^2+ xy+81y^2 find the missing number
Answer: (9y^4*x^6)^2
Step-by-step explanation: First you take the square root of 81, which is 9. Next, you divide 8 and 12 by 2. Lastly, you multiply everything together, and you get a final answer of (9y^4*x^6)^2. Do you do RSM?
15–80÷4^2×2 as a expression using the order of operations.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Do PEMDAS}[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Exponents}[/tex]
[tex]\large\text{Multiplication}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Subtraction}[/tex]
[tex]\mathsf{15 - 80\div4^2\times2}[/tex]
[tex]\mathsf{4^2}[/tex]
[tex]\mathsf{= 4\times 4}[/tex]
[tex]\mathsf{= \bf 16}[/tex]
[tex]\mathsf{15 - 80\div16\times 2}[/tex]
[tex]\mathsf{80\div16}[/tex]
[tex]\mathsf{= \bf 5}[/tex]
[tex]\mathsf{15 - 5\times2 }[/tex]
5 × 2 = 10
[tex]\mathsf{15 - 10}[/tex]
[tex]\mathsf{= \bf 5}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly selected dives by 7 different otters, recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met.
Predictor Coef SE coef T P
Constant 52.789 5.257 10.04 0.000
Water temp 3.3684 0.4216 7.990 0.002
S= 5.557 R- Sq= 92.7% R-Sq(adj)= 91.3%
Required:
What is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?
Answer:
0.4216
Step-by-step explanation:
from the data given The estimate of the standard deviation of the sampling distribution of b,
( The slope of the sample regression line for the relationship )
= 0.4216 ( i.e. intersection of SE coef and water temperature )
Testing the effect of water temperature on the length of time sea otters can remain
The scatter plot shows the number of hours worked and money spent on entertainment by each of 24 students. Also shown is the line of best fit for the data. Fill in the blanks below.
The given scatter plot has a positive correlation.
Given that, the scatter plot shows the number of hours worked and money spent on entertainment by every 24 students.
What are scatter plots?A scatter plot is a means to represent data in a graphical format. A simple scatter plot makes use of the coordinate axes to plot the points, based on their values. The following scatter plot excel data for age (of the child in years) and height (of the child in feet) can be represented as a scatter plot.
A positive correlation—when the correlation coefficient is greater than 0 signifies that both variables move in the same direction.
The blanks for the given questions are filled below:
a) increase
b) strong positive
c) $22.50
Therefore, the given scatter plot has a positive correlation.
To learn more about the scatter plot visit:
https://brainly.com/question/13984412.
#SPJ2
The temperature decreased by 4.6 degrees Fahrenheit
B The temperature decreased by 0.28 degrees Fahrenheit
The temperature increased by 0.75 degrees Fahrenheit
The temperature increased by 4.6 degrees Fahrenheit
Answer:
10.23
Step-by-step explanation:
just add them togather
Find the distance between the two points. (2, 4), (7, 2)
Answer:
5.38516480 or √ 29
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5.385165 or sqrt 29
Step-by-step explanation:
d = distance
d= sqrt (7-2)^2+(2-4)^2
and when simplified fully you get
sqrt or 5.385165
which of the following could be the length of the side of a triangle
A :3,10 and 15
B :3,1 and 2
C :11,9, and 20
D :10,4, and 12
a triangle has two sides of lengths 5 and 12, what value could the length of the third side be? check all that apply
Answer:
11 and 9
Step-by-step explanation:
The inequality is 12-5<x<12+5, which simplifies to 7<x<17, so the length of the third side can be any number between 7 and 17, but not including those numbers.
The answer is 11 and 9
If right I’ll mark brainiest need ASAP
Answer
Step-by-step explanation: Anybody who help me I will mark brainliest in give you 180 points you have to go on my page in answer all my questions
A recipe for cookies calls for 2/3 cups of sugar per batch Atlanta use 4 cups of sugar to multiply batches of cookies how many batches will she make
6
Step-by-step explanation:
The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.
Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other
The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).
Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73
Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.
Answer:
The null hypothesis is rejected.
Step-by-step explanation:
Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.
H0: p1 = p2 = p3 = p4 = p5 = 0.2
Ha: H0 is not true.
The table is as below:
Twitter Type: Observed Count p E=350*p (O-E)^2/E
IS 50 0.2 70 5.7143
OC 61 0.2 70 1.1571
RT 64 0.2 70 0.5143
ME 102 0.2 70 14.6285
O 73 0.2 70 0.1286
-----------------------------------------------------------------------------------------------
Total 22.1428
The test statistic [tex]\chi^2[/tex] is 22.1421
The degree of freedom d is n-1=5-1 =4
The corresponding p-value from the chi-squared table is .000188.
As this value is less than the p-value for the H0 thus we reject the null hypothesis.
What is the volume of a rectangular prism with length equal to 13,width equal to 6 and height equal to 4
Given:
Length of the rectangular prism = 13 units.
Width of the rectangular prism = 6 units.
Height of the rectangular prism = 4 units.
To find:
The volume of the rectangular prism.
Solution:
We know that the volume of the rectangular prism is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth or width and h is the height of the rectangular prism.
Putting [tex]l=13,b=6,h=4[/tex] in the above formula, we get
[tex]V=13\times 6\times 4[/tex]
[tex]V=312[/tex]
Therefore, the volume of the given rectangular prism is 312 cubic units.
Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12
h.c gjsussisuse udrih eieeiee Getty e
Which phrase describes the shape of the data?
.
.
.
12
13
14
15
10
17
18
A. Symmetric, not bell-shaped
B. Not symmetric, bell-shaped
C. Not symmetric, not bell-shaped
D. Symmetric bell-shaped
Answer:
C. Not symmetric; not bell-shaped.
Step-by-step explanation:
In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.
On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.
The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.
Answer:
c
Step-by-step explanation:
A data set contains the values 1, 2, 5, 5, and 7.
The table shows the distance between each value and the mean of 4.
Data value
Distance between
value and mean
1
3
2
2.
5
1
5
1
7
3
Sum of distances 10
What is the mean absolute deviation (MAD) of the data set?
Answer:
2, The MAD is the MEAN STANDARD DEVIATION meaning it is the average of all the numbers distances away from the MEAN. you just add up all the distances and divide by how many there are.
if 16c 1 gal then 1 1/4 gal __= c
Answer:
20 cups
Step-by-step explanation:
16 x 1.25 = 20
Answer:
11/4 c = 44 gal
I hope it's helps you
You need to establish _____ for how to judge a concept.
Answers
Questions
Points
Criteria
Answer:
Criteria.
Step-by-step explanation:
A series of criteria is a set of parameters established by whoever seeks to interpret a certain information or quantity of concepts, by means of which a set of interpretive rules is established that should be equal to all the concepts to be analyzed. Thus, the criteria allow a set of data to be analyzed under the same parameters or information processing requirements.
1-4: Find the measures of central tendency, then determine the range of the data.
Daily High Temperatures (°F) for a week: 68 70 67 68 75 75 74 (1 pt each)
1. Mean:
2. Median:
3. Mode(s):
4. Range:
Answer:
Step-by-step explanation:
1=71
2=70
3= 68 and 75, they both appear twice
4= 8
13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?
Answer:
Step-by-step explanation:
80% of 25 = 5
because 10% of 25 = 2.5
and then 10 x 8 = 80
so 2.5 x 8 = 20
25 - 20 = 5
therefore, the percentage change is 80%
GIVE BRAINLIEST
hope this helped,
-cheesetoasty