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
posledela
3 years ago
14

It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random

sample of 9 adults are chosen. The average temperature of the 9 adults is only 98.1°F with a SD of 0.9°F. The question is whether the data on these 9 people is sufficient evidence to conclude that average body temperature among all healthy adults is really lower than 98.6°F. Assume the average body temperatures follow the normal curve.
1. Which significance test should be used?
a. z-test because the 50 of the population is known.
b. t-test because the SD of the population is known.
c. neither since it is untkely that temperatures would follow the nermal curve.
d. a t-test because the 50 of the sample is unknown.
e. a t-test because the SD of the pepulation is unknown.
Since the sample size is small and temperatures are lkely to be normaly distributed ether test may be used.
2. What is the null hypothesis?
A. That the average temperature in the population is 98.1 F.
B. That the average temperature in the pepulation is 98.6.
C. That the average temperature in the population is less than 98.6 F.
D. That the average temperature in the sample is 98.1.
3. What is the abernative hypothesis?
A. That the average temperature in the pepulation is 98.1 F.
B. That the average temperature in the population is 98.6F.
C. That the average temperature in the population is less than 98.6.
D. That the average temperabure in the sample is 98.17.
4. Compute SD.
5. Compute the best statistic.
6. How many degrees of freedom are there?
Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample <em>t</em>-test will be used.

The correct option is b.

(2)

The null hypothesis is:

<em>H</em>₀: The average temperature in the population is 98.6°F, i.e. <em>μ </em>= 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

<em>Hₐ</em>: The average temperature in the population is less than 98.6°F, i.e. <em>μ </em>< 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

t=\frac{\bar x-\mu}{SD_{\bar x}}

  =\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

   = 9 - 1

   = 8

Thus, the degrees of freedom of the test is 8.

You might be interested in
What transformation of f(x) will result in g(x) ?
Amanda [17]

Answer:

Vertical stretch across the y-axis, reflection across the x-axis, horizontal shift 2 units to the left, and vertical shift 1 unit down

3 0
3 years ago
Find the coordinates of the midpoint of the segment given its endpoints F(2,-6) and G(-8,5)
Bess [88]

Step-by-step explanation:

see the pic fof the answer

8 0
3 years ago
Tony sells sporting goods. He makes a 10 percent commission on every dollar of sales that he makes. One month Tony got a commiss
Zina [86]

Answer:

25000

Step-by-step explanation:

2500÷.10=25000

4 0
3 years ago
Read 2 more answers
Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?
3241004551 [841]
Gary car will use 18 miles/gallons
7 0
3 years ago
PRACTICE AND PROBLEM SOLVING
Tanzania [10]

Answer:

Because they are

Step-by-step explanation:

they ar4

6 0
3 years ago
Other questions:
  • Help please :( !! i don’t understand:/
    12·1 answer
  • Multiple Choice 1. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the t
    5·1 answer
  • The excavation for a house and the trucks to carry away the material have the dimensions shown. About how many level truck loads
    10·1 answer
  • Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until she is finished. Write a l
    12·2 answers
  • How do I show my work for 127.246 divided by 427 ?
    6·2 answers
  • For Each coin, state its worth as a percentage of $1?
    8·2 answers
  • Which statement about the ordered pair (-6,8) is true?
    12·1 answer
  • Assume the probability is 1/2 that a child born at any time is a boy and births are independent. What is the probability of the
    12·1 answer
  • Express 10cm as percentage of 50cm
    14·2 answers
  • 2 - 14. What is the equation of the line perpendicular to y - 4 = (x - 6) and passes through the point - (-3,2)? 5 5 - 2 5 = O -
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!