Answer:
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.
Step-by-step explanation:
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.
This means that the null hypothesis is:
[tex]H_{0}: p \geq 0.16[/tex]
Testing this hypothesis, means that the alternate hypothesis is:
[tex]H_{a}: p > 0.16[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.16 is tested at the null hypothesis:
This means that [tex]\mu = 0.16, \sigma = \sqrt{0.16*0.84}[/tex]
In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.
This means that [tex]n = 200, X = \frac{24}{200} = 0.12[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}[/tex]
[tex]z = -1.54[/tex]
Pvalue:
The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.
Looking at the z-table, z = -1.54 has a pvalue of 0.0618
1 - 0.0618 = 0.9382
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.
HELPP PLEASEE
the rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point A, perpendicular to the front face. What will the dimensions of the rectangular cross section be?
A rectangular prism. The rectangular base has a length of 4 inches and width of 3 inches. The height of the prism is 6 inches. Point A is at the top of the rectangle with length 6 inches and width 3 inches.
4 inches by 6 inches
4 inches by 3 inches
3 inches by 6 inches
2 inches by 6 inches
Answer:
C (3 inches by 6 inches)
Step-by-step explanation:
URGENT PLZ HELP
The pH of a liquid is a measure of how acidic or basic it is. The concentration of hydrogen ions in a liquid is labeled (H+). Use the formula pH = -log[H] to find the pH level, to the nearest tenth, of a liquid with [H] about 8.1 x 10-7,
a = 6.1
b = 7.9
с = -7.9
d = 7.0
Answer:
pH = 6.1
Step-by-step explanation:
pH = -log[H]
pH = -log[8.1 x 10^-7]
pH ≈ 6.09
Therefore, option a, 6.1, is closest to this value and is the correct answer.
ANSWER THIS PLEASE ILL GOVE YOU BRAINLIEST PLEASE SHOW ME HOW TO DO IT:(
pls help! i’m giving brainliest :)
Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?
calcular el 20% de 50
Answer:
10
Step-by-step explanation:
5 + (1/7)b = -2 find what b equals
Answer:
b= -49
Step-by-step explanation:
Well first isolate the number with the variable by performing inverse operations
1/7b= -7
now multiply by 7 on each side to isolate the variable.
b= -49
B is negative 49
Which product is less than 5/8 help l will give you brainlest
Answer:
4/3 x 5/8 is correct
Step-by-step explanation:
Answer: C 7/10 * 5/8
Step-by-step explanation:
4/3 * 5/8 = 20 / 24 = 5 / 6
3/2 * 5/8 = 15 / 16
7/10 * 5/8 = 35/80 = 7 / 16
9/7 * 5/8 = 45 / 56
5/8 = 10/16
7/16 < 10/16
7/16 < 5/8
Plz Help! I'll put you Brainliest
Answer:
Step-by-step explanation:
Angle 1 angle 2 and angle 3 I need answers to
Answer:
Step-by-step explanation:
Angle 1=24°
Angle 2=90°
Angle 3=90-24= 66°
Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?
Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and professional professors. At Paracelsus University, 60% of the professors are academic professors, and 70% of the professors are tenured. If 90% of the professors at Paracelsus University are academic professors or tenured or both, then what percent of the professional professors there are tenured
Answer:
75%
Step-by-step explanation:
The computation of the percent of the professional professors there are tenured is shown below;
Given that
academic professors A = 60%
professors tenured P = 70%
professors at Paracelsus University = 90%
Based on the above information
As we know that 90% of the professors could be academic professors or tenured or both
so here we can say that the percent of academic professors is
= 60 + 70 - 90
= 40
Therefore professors tenured will be
= 70 - 40
= 30
Now the percentage of professional professor that is tenured is
= 30 ÷ 40 × 100
= 75%
someone please help me answer this!!
Answer:
6 units
Step-by-step explanation:
they are six units apart just count the amount of units they are from each other or since they are in the same quadrant and y-axis just subtract the 10 from the 4
Answer:
6 units is the answer.
Step-by-step explanation:
points are (10,-5) and (4,-5)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(4-10)^2 + (-5-(-5))^2}\\\\d=\sqrt{(-6\\)^2+(0)^2} \\\\d=\sqrt{36} \\\\d=6} \\\\[/tex]
∴ d = 6 units
PLEASE HELP TIMED two functions are combined resulting in the function j(x)= 1.5x^2 + 4x-3 . Which operations apply to the specified functions could result in j(x)? select three options.
Step-by-step explanation:
B two quadratic by addition
C a linear and quadratic by addition
D two linear by multiplication
A number line that represents k > 5
Answer:
any number from 6 and above
I need with help with this question
Answer:
the answer is 3
Step-by-step explanation:
The average price for deodorant is defined by the linear regression line: y equals 0.046 x plus 2.664 where x represents the number of years since 2010.
If this trend continues, when will the average price be $3.63
(Round off to the appropriate year)
Answer:
2031
Step-by-step explanation:
3.63=0.046x+2.664
0.966=0.046x
21=x
2010+21=2031
A book had length of 5 inches and a width of 8 inches what is the area of the book
Today 108 people visited a water park during the first hour that the park was open. This number of people is 40% of the number of people who visited the water park during the first hour yesterday. How many people visited the water park during the first hour yesterday?
Answer:
40
___ x 108 = 43.2
100
The 4 in 153,458 has _______________ the value of the 4 in 192,946.
Answer:
The 4 in 153,458 has ten times more the value than the 4 in 192,946.
Step-by-step explanation:
400 and 40
400 ÷ 40 = 10
4. June's portfolio of stocks includes 177 shares of Parcher, 213 shares of Giaco
Household Goods, and 152 shares of Raxin Accounting. If Parcher pays yearly
dividend of $8.21 per share. Giaco Household pays $6.97 per share and Raxin
pays $11.44 per shares, how much does June earn in dividends per year?
Find the value of x in the triangle shown below 9 3
Answer:
x = 9.4868
Step-by-step explanation:
For this problem we can use the Pythagorean Theorem
Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]
IN THIS CASE C = X
A and B are the side and base lengths of a right triangle.
C is the Hypotenuse side.
[tex]9^2+3^2=c^2[/tex]
Solve...
81 + 9 = [tex]c^2[/tex]
90 =[tex]c^2[/tex]
[tex]\sqrt{90}[/tex] = c
c = 9.4868
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP EXTRA POINTS AND BRAINLIEST! IMAGE ATTACHED! ANSWER ALL BOXES!
Answer:
Step-by-step explanation:
Kody wants to test to be sure his soap dispenser design works fairly for people with different skin colors. He
selects separate random samples of 25 workers with light skin and 25 with dark skin. For each worker, he
measures the maximum distance from the dispenser at which it detects the employee's hand. Then he looks at
the difference in the sample means ( Light - TDark).
What do we know about the shape of the sampling distribution of Light - TDark, and why?
Answer: The shape cannot be determined since we don’t know the shape of either population distribution.
Step-by-step explanation:
The dot plots show the numbers of adult books purchased by customers at two different bookstores on one day
Which statement is supported by the dot plots?
Pls explain!!!
Answer:
H mean of data for store 1 is greater than mean for store 2
Step-by-step explanation:
mode for store 1 = 3
mode for store 2 = 2
range for store 1 = 6
range for store 2 = 6
mean for store 1 = 3.3125
mean for store 2 = 2.588
median for store 1 = 3
median for store 2 = 2
What is the best estimate of the value of ln 16?
Answer:
6
Step-by-step explanation:
I think
?????????????????????
Answer:
5x^2 + 7x
option C is your answer
Allie is 26 years old. This is half of her
brother Alex's age, plus 5 years.
How old is Alex?
Answer:
18
Step-by-step explanation:
What is the median of this data set:
4, 2 ,5 ,7, 2 ,8, 5 ,6 ,6
Step-by-step explanation:
2 is the answer because it's in the middle
The age of a mother is three times the age of her son. If the difference between their
ages 20 years find their present ages.
Answer:
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Step-by-step explanation:
Given
[tex]M = Mother[/tex]
[tex]S = Son[/tex]
From the first statement:
[tex]M = 3S[/tex]
From the second:
[tex]M - S = 20[/tex]
Required
Find M and S
We have:
[tex]M = 3S[/tex] and
[tex]M - S = 20[/tex]
Substitute [tex]M = 3S[/tex] in [tex]M - S = 20[/tex]
[tex]3S -S =20[/tex]
[tex]2S = 20[/tex]
Divide both sides by 2
[tex]S = 10[/tex]
Substitute [tex]S = 10[/tex] in [tex]M = 3S[/tex]
[tex]M = 3 * 10[/tex]
[tex]M = 3 0[/tex]
Hence;
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Please helpppppppppppppppppppp
Answer:
[tex]8( 4 \sqrt{7} - \sqrt{18} ) = 8(4 \sqrt{7} - 3 \sqrt{2}) = 32 \sqrt{7} - 24 \sqrt{2} [/tex]
Answer:
the answer is
[tex]32 \sqrt{7} - 24 \sqrt{2} [/tex]