This question is incomplete, the complete question is;
Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.
Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula
Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.
Step-by-step explanation:
Let us consider testing a hypothesis about a population mean with population standard deviation that is known,
Let the average body mass of the Goldfinch bird be μ^μ
Now our hypotheses are will be;
H₀ : μ = 0.5 and
H₁ : μ < 0.5
For the test, we shall use the z statistic which will be
z = (x"-μ)/(σ/√n)
Now given that;
σ = 0.04 and n = 4
sample mean x" = ?
Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.
so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.
For a p-value = 0.01 at the lower tail (which is the percentile for z),
the corresponding z will be -2.33
so we substitute our values into our formula
z = (x"-μ)/(σ/√n)
z(σ/√n) = (x"-μ)
-2.33(0.04/√n) = (x"-0.5)
-0.0466 = x" - 0.5
x" = 0.5 - 0.0466
x"= 0.4534
therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.
Jessica completed 21 math problems In 14 minutes at this rate how many math problems could complete in 30 minutes
Answer
45
Explanation
What is my perfect crime? I break into Tiffany's at midnight. Do I go for the vault? No, I go for the chandelier. It's priceless. As I'm taking it down, a woman catches me. She tells me to stop. It's her father's business. She's Tiffany. I say no. We make love all night. In the morning, the cops come and I escape in one of their uniforms. I tell her to meet me in Mexico, but I go to Canada. I don't trust her. Besides, I like the cold. Thirty years later, I get a postcard. I have a son and he's the chief of police. This is where the story gets interesting. I tell Tiffany to meet me in Paris by the Trocadero. She's been waiting for me all these years. She's never taken another lover. I don't care. I don't show up. I go to Berlin. That's where I stashed the chandelier.
Which one of these formulas describes the following sequence?
1,5,12,22,35
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: [tex]a n^2 + b n + c[/tex], where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
[tex]1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c[/tex]
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
[tex]\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}[/tex]
0.96 is 1/10 of what?
Answer:
0.96*10 is 9.6.
Step-by-step explanation:
Select the tables that show a proportional relationship between x and y.
Answer:
The table in blue
Step-by-step explanation:
Help I’ll give brainliest I don’t know the answer it’s for a grade :/ help bruh
Answer:
D
Step-by-step explanation:
Hope this helps. :) :D
Answer:
the answer is d.) (1,9)
Step-by-step explanation:
Really hope this helps xx
a flag measures 90
feet by 60 feet. What is the perimeter of
this flag?
Please help, will give brainliest. Evaluate each expression for the given value of the variable(s). And Explain, Please.
3d - 4
d = 1.2
Answer:
-0.4
Step-by-step explanation:
3d-4 where d=1.2
substitute 1.2 for d and solve
3(1.2)-4
3.6-4= -0.4
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
Answer 1. mZUTV=m/
= 850
2. m/R+m/S+mc
3. 3x + 2x +
4. x=
Consider the solution to the linear equation.
5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4.
Which describes the inverse operations used after the distributive property?
addition then division
subtraction then division
multiplication then subtraction
division then addition
the answer is b
Answer:
the answer is b i think
Step-by-step explanation:
12345
At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Now, there is 13 OF the amount less than at the beginning. How many ounces of peanut butter are in the pantry now?
A. 23•80
B. 13•80
C. 80−13
D. (1+13)•80
BRAINLIEST!!
Answer:
well for me
Step-by-step explanation:
I think it's 80-13 because it reduced by a minus 13
QUICK PLS HELP
Before attending a basketball course, a player found that 60% of his shots made a
score. After attending the course, the player claimed he had improved. In his next
game he tried 12 shots and scored in 10 of them. Assuming shots to be
independent, test his claim at the 10% level of significance
Answer:
Step-by-step explanation:
60% = 7.2/12
83% = 10/12
He improved by a supposed 23%
Julie is training to be in the hot dog eating contest. Her daily goal is to be able eat twice the amount of hot dogs she ate the day before. Her ultimate goal is to be able to eat 128 hot dogs in one day. If she eats 2 hot dogs on the first day, how many days will it take for her to reach her goal
please help????????
Answer:
k=140
Step-by-step explanation:
64+76=140
180-140=40
180-40=140
a map has a scale of 1.5 inches = 9 miles. On the map, two towns are 4 inches apart. What is the distance, in miles between the two towns?
Answer:
36
Step-by-step explanation:
i multpliy 9x4=36
The following is an example of what type of sequence? 3, 11, 19, 27, 35...
A: Geometric
B: Ratio
C: Ratio
D: Difference
Answer:
You have a series that increases by 8 Therefore it Ar^n-1So its a geomtric sequenceA bracelet costs $39.59. It is marked down 25%.
What is the final price of the bracelet after it is marked down?
$9.90
$29.69
$35.49
$49.49
Answer:
$29.69
Step-by-step explanation:
Marked down 25% means it is now worth 75% of original value.
0.75*39.59 = $29.69
please give thanks by clicking the heart buton :) happy holidays
Answer:
$29.70
Step-by-step explanation:
$39.59 / 4 = 9.8975. Round up to 9.90
$39.59 - $9.90 = $29.69
The ordered pair (1, -2) is a solution to the system of linear equations.
2x + y = 0
-x + 2y = 5
True
False
Answer:
False
Step-by-step explanation:
2x + y = 0
Try (1, -2)
2(1) + (-2) = 0
2 + (-2) = 0
0 = 0
The solution works on the first equation.
-x + 2y = 5
-(1) + 2(-2) = 5
-1 - 4 = 5
-5 = 5
The solution does not work in the second equation.
Answer: False
6= 2(y+2). Helppppppppppppppp
Answer:
y=1
Step-by-step explanation:
6=2y+4
2=2y
y=1
12. What is the slope of line with the points (2,2) and (1,5)?
Answer:
- 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{5 - 2}{1 - 2} = - \frac{3}{1} = - 3 \\ [/tex]
We have the final answer as
- 3Hope this helps you
Which of the following is equal to 3.TE?
Please help me thank you
Answer:
90
Step-by-step explanation:
90
Please help with all pleaseeeee.
Step-by-step explanation:
5. da^2
7×4^2
=7×16
=112
6.g(b+e)
=10(8+3)
=10×11
=110
7.a+b(f+g)
=4+8(9+10)
=4+8×19
=4+152
=156
8.a+b/3
=4+8/3
=12/3
=4
The property that says 2+3 is equivalent to 3+2
Please help!! I’ll do what ever! find m<1, m<2, m<3, m<4, and m<5,
Answer:
1.)111
2.)69
3.)60
4.)60
5.)51
1.15x10^-5 in standard form
Step-by-step explanation:
= 1.15 / 10⁵
115/10000000
0.0000115
is the correct answer
McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study.
Noncontact Athletes:
10, 8, 7, 9, 13, 7, 6, 12
Contact Athletes:
7, 4, 9, 3, 7, 6, 10, 2
a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a one-tailed test with \alpha=.05
t-critical=
t=
b. Compute the value of (percentage of variance accounted for) for these data.
r^2= a. 0.123, b. 0.239, c. 0.138, d. 0.264
Answer:
[tex]t _{critical} = 1.760[/tex]
t = 2.2450
d. 0.264
Step-by-step explanation:
The null hypothesis is:
[tex]H_o: \mu_1 - \mu_2 = 0[/tex]
Alternative hypothesis;
[tex]H_a : \mu_1 - \mu_2 > 0\\[/tex]
The pooled variance t-Test would have been determined if the population variance are the same.
[tex]S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}[/tex]
[tex]S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}[/tex]
[tex]S_p^2 = 7.14[/tex]
The t-test statistics can be computed as:
[tex]t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}[/tex]
[tex]t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}[/tex]
[tex]t= \dfrac{3}{1.336}[/tex]
t = 2.2450
Degree of freedom [tex]df = (n_1 -1) + ( n_2 +1 )[/tex]
df = (8-1)+(8-1)
df = 7 + 7
df = 14
At df = 14 and ∝ = 0.05;
[tex]t _{critical} = 1.760[/tex]
Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.
Conclusion: We reject [tex]H_o[/tex] and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.
To calculate r²
The percentage of the variance is;
[tex]r^2 = \dfrac{t^2}{t^2 + df}[/tex]
[tex]r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}[/tex]
[tex]r^2 = \dfrac{5.040025}{5.040025+ 14}[/tex]
[tex]r^2 = 0.2647[/tex]
Please send me a answer ASAP please thank you
Answer:
The answer would be D.9
what are the ratios from least to greatest 5:8, 11:16, 18:32
Answer:
Least: 18:32
Middle: 5:8
Greatest: 11:16
Proportions! Please help quick!
Answer:
1. 3/195, 5/325, 9/585, 10/650
2. 2/15, 3/22.50, 5/37.50, 8/60
Step-by-step explanation:
Determine the value of x and y
Answer:
x=65, y=60
Step-by-step explanation:
x=65--->corrosponding angles with the triangle
x+y+55=180--->linear pair
(65)+y+55=180
y=60
Answer:
x=65 y=60
Step-by-step explanation:
Well, divide the hypotenuse between two triangles added onto the square root of the divisions between Mars and Pluto and we can derive the positive neutrons of the seventeenth quadratic of the Einstein constant equation.
or, know that x=65 due to it being on a parallel line to it, then due to their being 360 degrees around a point, 65+65+55+55=240, 360-240=120, then divide that by two to get it at y.