1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viva [34]
3 years ago
5

The Russet Potato Company has been working on the development of a new potato seed that is hoped to be an improvement over the e

xisting seed that is being used. Specifically, the company hopes that the new seed will result in less variability in individual potato length than the existing seed without reducing the mean length. To test whether this is the case, a sample of each seed is used to grow potatoes to maturity. The following information is given:Old SeedNumber of Seeds = 11Average Length = 6.25 inchesStandard Deviation = 1.0 inchesNew SeedNumber of Seeds = 16Average Length = 5.95 inchesStandard Deviation = 0.80 inchesBased on these data, if the hypothesis test is conducted using a 0.05 level of significance, the calculated test statistic is:______
Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

F=\frac{s^2_2}{s^2_1}=\frac{0.8^2}{1.0^2}=0.64

p_v =P(F_{15,10}

Since the p_v > \alpha we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation for the New sample it's significantly less than the variation for the Old sample at 5% of significance.  

Step-by-step explanation:

Data given and notation  

n_1 = 11 represent the sampe size for the Old

n_2 =16 represent the sample size for the New

\bar X_1 =6.25 represent the sample mean for Old

\bar X_2 =5.95 represent the sample mean for the New

s_1 = 1.0 represent the sample deviation for Old

s_2 = 0.8 represent the sample deviation for New

\alpha=0.05 represent the significance level provided

Confidence =0.95 or 95%

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

F=\frac{s^2_2}{s^2_1}

Solution to the problem  

System of hypothesis

We want to test if the variation for New sample it's lower than the variation for the Old sample, so the system of hypothesis are:

H0: \sigma^2_2 \geq \sigma^2_1

H1: \sigma^2_2

Calculate the statistic

Now we can calculate the statistic like this:

F=\frac{s^2_2}{s^2_1}=\frac{0.8^2}{1.0^2}=0.64

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =11-1=10 and the F statistic have 15 degrees of freedom for the numerator and 10 for the denominator. And the P value is given by:

P value

Since we have a left tailed test the p value is given by:

p_v =P(F_{15,10}

And we can use the following excel code to find the p value:"=F.DIST(0.64,15,10,TRUE)"

Conclusion

Since the p_v > \alpha we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the variation for the New sample it's significantly less than the variation for the Old sample at 5% of significance.  

You might be interested in
I’ll give the correct answer brainliest. Happy Halloween!
lutik1710 [3]

Answer:

25

Step-by-step explanation:

she can knit 25 scarves in 10 hours

7 0
2 years ago
Read 2 more answers
Which equation best represents the line of best fit for the scatterplot?
Masja [62]

Answer:

The line of best fit would be the line in between all the points in the scatter plot that is the closest to having an equal amount of dots on each side.

If there isn't one with the exact number, pick the one that is the <em>very closest</em>.

8 0
3 years ago
HURRY!!
kenny6666 [7]

Answer:

Your answer is 50 degrees.

Step-by-step explanation:

An isosceles triangles base angles are equal.

A triangle's angles add up to be 180 degrees.

65+65+x = 180

130+x = 180

x = 50

5 0
2 years ago
The coordinates of a triangle
Molodets [167]
Draw the rectangle in the map and count the length, area, and perimeter
3 0
3 years ago
Help me<br> On this pleaseee
Evgen [1.6K]
2 rectangle shaped
1) Length = 160 mi ; Width = 40 mi
2) Length = 440 mi - 160 mi ; Width = 240 mi - 70 mi

1 triangle shape
1) base = 70 mi ; height = 440 mi - 160 mi

Area Rectangle 1 = 160 mi * 40 mi = 6,400 mi²
Area Rectangle 2 = 280 mi * 170 mi = 47,600 mi²
Area Triangle 1 = ((440 mi - 160 mi) * 70mi)/2 = (280mi * 70mi)/2 = 9,800 mi²

Total Area = 6,400 mi² + 47,600 mi² + 9,800 mi² = <span>63,800 mi²</span>
4 0
3 years ago
Other questions:
  • a rain barrel can hold 50 gallons of water if there are 32 gallons inside of it, what percent of the barrel is full?
    15·2 answers
  • The question is in the picture below <br> Please help quickly!!
    8·1 answer
  • How long does it take the otter to swim 90 feet?
    5·2 answers
  • What is the value of “y” in y = -3x if the value of ‘x’ is 2?
    5·1 answer
  • Which of the following are solutions to the equation below?<br> x^2 18=-9
    15·1 answer
  • Which answer choice best fits the given word;
    15·1 answer
  • Is 7 to the 8th power times 7 equivalent to 7 to the the third power times 7 to third power equivalent?
    9·1 answer
  • HELPEEEEEEEEEEEEEEEPpppppppppppppppppp
    11·2 answers
  • Hello! Please answer (c). I'll put 16 points for this answer! I'm in middle school, not college. Please reply and take your time
    8·1 answer
  • Monica is trying to lower her credit card debt and has been tracking her expenses for the past month. She identified her variabl
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!