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
5

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

s in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $30,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the 0.10 significance level, is it reasonable to conclude the mean wedding cost is less than $30,000 as advertised?
29.7 29.4 31.7 29.0 29.1 30.5 29.1 29.8

Required:
a. State the null hypothesis and the alternate hypothesis.
b. State the decision rule for 0.05 significance level.
c. Compute the value of the test statistic.
d. What is the conclusion regarding the null hypothesis?
Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

Step-by-step explanation:

Mean = (29.7 + 29.4 + 31.7 + 29.0 + 29.1 + 30.5 + 29.1 + 29.8)/8 = 29.7875

Mean = 29.7875 × 1000 = $29787.5

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (29.7 - 29.7875)^2 + (29.4 - 29.7875)^2 + (31.7 - 29.7875)^2 + (29.0 - 29.7875)^2 + (29.1 - 29.7875)^2 + (30.5 - 29.7875)^2 + (29.1 - 29.7875)^2 + (29.8 - 29.7875)^2 = 5.88875

Standard deviation = √(5.88875/8

s = 0.88

s = 0.88 × 1000 = $880

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0:µ ≤ 30000

For the alternative hypothesis,

H1:µ > 30000

This is a right tailed test.

b) The decision rule is to reject the null hypothesis if the significance level of 0.05 is greater than the probability value. If it is otherwise, we would fail to reject the null hypothesis.

c) Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 8

Degrees of freedom, df = n - 1 = 8 - 1 = 7

t = (x - µ)/(s/√n)

Where

x = sample mean = 29787.5

µ = population mean = 30000

s = samples standard deviation = 880

t = (29787.5 - 30000)/(880/√8) = - 0.68

We would determine the p value using the t test calculator. It becomes

p = 0.26

d) Since alpha, 0.1 < the p value, 0.26, then we would fail to reject the null hypothesis.

You might be interested in
Solve for y : 3x+5y=10
OLEGan [10]
3x + 5y = 10 Subtract 3x from both sides. 5y = -3x + 10 Divide both sides by 5. y = -3/5x + 2
3 0
3 years ago
Read 2 more answers
If two of a triangles angles measure 42 degrees and 48 degrees, how would you classify that triangle
grin007 [14]
I think that would be a right angle triangle or is that not what it is meaning

5 0
3 years ago
Read 2 more answers
It is given that one number is 6 more than another. If three times the sum of the two numbers is equal to 22 more than the large
Irina-Kira [14]

Answer:

First number=22

Second number=28

Step-by-step explanation:

Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.

x+x+6=x+6+22

2x+6=x+28

-x -x

x+6=28

-6. -6

x=22

22+6

=28

22+28= 28+22

50=50

6 0
3 years ago
Can someone help me with question please :) .
navik [9.2K]

Answer: C,D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
NEED WORKOUT WITH ANSWER
malfutka [58]
Answer: 81.25%
1450➗800
3 0
3 years ago
Read 2 more answers
Other questions:
  • A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa
    14·1 answer
  • Write 0.4% as a fraction
    6·2 answers
  • Please help me I’ll give brainliest
    7·1 answer
  • can anyone explain this question please - What is the standard form of the following equation? y+3=1/4x Use integers for A, B, a
    10·1 answer
  • How are discontinuities and zeros created in rational expressions, and in what ways can they be accounted for graphically?
    9·1 answer
  • Find the value of x/y if (3/5)^4*(15/10)^4=x/y^4
    14·1 answer
  • Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. The height, h(t), in meters (as it
    7·2 answers
  • Twenty-five sixth-grade students answered the question: "How many hours do you generally spend on homework each week?"
    10·1 answer
  • A girl has 11 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
    8·1 answer
  • The radius of a circle is 9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!