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
Dmitry [639]
4 years ago
14

A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standa

rd deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5.(a) Is it appropriate to use a Student's t distribution? Explain.Yes, because the x distribution is mound-shaped and symmetric and Ï is unknown.No, the x distribution is skewed left. No, the x distribution is skewed right.No, the x distribution is not symmetric.No, Ï is known.How many degrees of freedom do we use?(b) What are the hypotheses?H0: μ = 8.5; H1: μ > 8.5H0: μ = 8.5; H1: μ â  8.5 H0: μ = 8.5; H1: μ < 8.5H0: μ < 8.5; H1: μ = 8.5H0: μ > 8.5; H1: μ = 8.5(c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.)t =(d) Estimate the P-value for the test.P-value > 0.2500.100 < P-value < 0.250 0.050 < P-value < 0.1000.010 < P-value < 0.050P-value < 0.010(e) Do we reject or fail to reject H0?At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(f) Interpret the results.There is sufficient evidence at the 0.05 level to reject the null hypothesis.There is insufficient evidence at the 0.05 level to reject the null hypothesis.
Mathematics
1 answer:
Maurinko [17]4 years ago
8 0

Answer:

1.) Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. ;

df = 24 ;

H0 : μ = 8.5

H1 : μ ≠ 8.5 ;

1.250 ;

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

There is insufficient evidence at the 0.05 level to reject the null hypothesis.

Step-by-step explanation:

Given :

Sample size, n = 25

xbar = 9 ; Standard deviation, s = 2

α = 0.05 ;

The degree of freedom, df = n - 1 ; 25 - 1 = 24

The hypothesis (two tailed)

H0 : μ = 8.5

H1 : μ ≠ 8.5

The test statistic :

(xbar - μ) ÷ (s/√(n))

(9 - 8.5) ÷ (2/√(25))

0.5 / 0.4

Test statistic = 1.250

The Pvalue from Tscore ;

Pvalue(1.250, 24) = 0.2234

Pvalue > α ; We fail to reject H0 ;

You might be interested in
Which number line represents the solution set for the inequality 2x - 62 6(x - 2) + 8?
antoniya [11.8K]

Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

7 0
3 years ago
A phone company offers to monthly plans. Plan a cost $23 plus an additional $.08 for each minute of calls. Plan B cost $19 an ad
Anettt [7]

Answer:

The indifference point is 100 minutes.

Step-by-step explanation:

Giving the following information:

Plan a cost $23 plus an additional $.08 for each minute of calls.

Plan B cost $19 an additional $.12 for each minute of calls.

<u>First, we need to establish the total cost formula for each plan:</u>

Plan A= 23 + 0.08*x

Plan B= 19 + 0.12*x

x= number of minutes

<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>

23 + 0.08x = 19 + 0.12x

4 = 0.04x

100= x

The indifference point is 100 minutes.

<u>Prove:</u>

Plan A= 23 + 0.08*100= $31

Plan B= 19 + 0.12*100= $31

5 0
3 years ago
Please help ASAP!!!!!
padilas [110]

Answer:

18ft^2

Step-by-step explanation:

I'm going to use a dilation method to help solve this.

First we need to find your base. So 12/4 = 3.

6*3 = 18.

18 ft^2

7 0
4 years ago
-3 = 4(x + 1) — 3(x + 6)
horrorfan [7]

Answer: x=-9

Step-by-step explanation: Hope this helps

4 0
4 years ago
Find the length of BC
bazaltina [42]

Answer:

BC = 19.78

Step-by-step explanation:

using sin(x) rule

sin(54)= 16/BC

sin(54)=0.80

∴0.80=16/BC  (divied both side by 0.80)

BC=16/0.80 =19.78

8 0
3 years ago
Other questions:
  • A study dealing with health care issues plans to take a sample survey of 1500 Americans to estimate the proportion who have heal
    7·1 answer
  • Mr.Riley made 21 ounce of potatoes salad to serve to 5 guests at a picnic. If each serving is the same size, how much potato sal
    8·1 answer
  • A sociologists was investigating the ages of grandparents of high school students. From a random sample of 10high school student
    12·1 answer
  • The volume of a cone is approximately 423.9 cubic inches of the height is 5 what is the radius of the base
    15·1 answer
  • find the slope of the line on the graph write your answer as a fraction or a whole number not a mixed number or decimal
    6·1 answer
  • Solve for h 885 = –22h + –17
    14·1 answer
  • plsssssssssssssssssssss help me i need to get these right so i can play roblo.x pls tell me how you got the answer
    13·1 answer
  • Multiply (-5)^3 (raised to the third power)
    9·2 answers
  • I need help with this aswell, i dont understand them :(
    6·1 answer
  • Which of the following statements is true about the solution of the system
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!