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
Elena L [17]
3 years ago
13

Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To

xaphene causes tremors. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for four mice were 1.7, 1.8, 1.9, and 2.0.
Part A: Find the mean refractory period and the standard error of the mean.

Part B: Calculate a 90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment.

Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 1.3 milliseconds. Toxaphene poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning.
Mathematics
1 answer:
Mkey [24]3 years ago
4 0

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b.  90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a.  The table below shows the calculations:

                 X                (X-mean)^2

                1.7             0.0225

                1.8                 0.0025

                1.9                 0.0025

                2.0                 0.0225

Total        7.4                  0.05

Sample size: n=4

The mean is:  \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is  \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

You might be interested in
The expression 4x² represents
Novosadov [1.4K]
The expression 4x^2 represents - (4)(x)(x)
6 0
3 years ago
Read 2 more answers
If both the numerator and denominator of 48/64 are divided by 8, the fraction will be in lowest terms. True False
Licemer1 [7]
If 48/64 are both divided by 8 you would get 6/8! these can still be reduced to 3/4, So FALSE!
4 0
3 years ago
Read 2 more answers
What is the measure of angle CAE??
raketka [301]
M <CAE = 360 - 240  = 120 degrees answer
4 0
3 years ago
Due tomorrow Please help!!
anastassius [24]

Answer:

A

\frac{1}{8} = \frac{b}{4^{2} }

b = \frac{1}{8} × 4^{2}

b = \frac{4^{2} }{8}

then b = \frac{c^{2} }{a} that is ORANGE

B

-2 - v = -7

v = -7 +2

then v = k + m that is BROWN

C

\frac{14}{q} = \frac{-7}{-4}

q = \frac{14 * -4 }{-7}

then q = \frac{ps}{r} that is YELLOW

D

4m + 2(n) = 5 (n)

4m = 5 (n) - 2n

4m = 3n

m = \frac{3n}{4}

then m =  \frac{3n}{4} that is RED

E

-8 = \frac{x}{-5} - 6

\frac{x}{-5} = -8 + 6

x = -5 (-8 + 6)

then x = y( w + z ) that is LIGHT GREEN

7 0
3 years ago
The null hypothesis for an ANOVA is that all treatments/samples come from populations with the same mean. The alternative hypoth
Charra [1.4K]

Answer:

At least one of the population means is different from the others.

Step-by-step explanation:

ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.

In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.

Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.

Hence, the null hypothesis for an ANOVA is that all treatments or samples come from populations with the same mean. The alternative hypothesis is best stated as at least one of the population means is different from the others.

5 0
3 years ago
Other questions:
  • Helena lost her marbles. But then she found them and put them in 44 bags with mm marbles in each bag. She had 33 marbles left ov
    13·1 answer
  • Mrs. Miller is buying cupcakes for all the honor students at Clarke High School. The prices for cupcakes are shown in the chart.
    10·2 answers
  • Which statement describes volume?
    13·1 answer
  • Which of the following is the quotient of the rational expressions shown
    14·1 answer
  • Mr. Marvi's Class is fund-raising for a field trip that costs $1254. The school is
    5·2 answers
  • which expressions are equivalent choose all that apply A 7777 b. 7 to the 4th power C 4 to the 7th power. D. 7 to the 4th power
    15·2 answers
  • 4 people can paint a fence in 3 hours. how long will it take 6 people to paint?
    5·1 answer
  • Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for t
    10·1 answer
  • A point has<br> ono length<br> no width<br> no thickness<br> all of the above
    5·2 answers
  • Solve for x to the nearest degree.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!