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
GuDViN [60]
3 years ago
12

Chi square Daphne likes to ski at a resort that is open from December through April. According to a sign at the resort, 20, perc

ent of the snow falls occur in December, 25, percent in January, 20, percent in February, 20, percent in March, and 15, percent in April. She wondered if the snow falls in her hometown followed this distribution, so she took a random sample of 80 days between December and April with snowfall and recorded their months. Here are her results:_________.

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

Step-by-step explanation:

The missing data for the random sample of 80 days between December and April with snowfall is:

 Month            Days

December         16

January             11

February            16

 March              18

  April                19

The Chi-square goodness of fit test would be used to determine whether the snow falls in Daphne's hometown followed the given distribution.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The snow falls in Daphne's hometown does not follow the given distribution.

<em>Hₐ</em>: The snow falls in Daphne's hometown followed the given distribution.

Assume that the significance level of the test is, <em>α</em> = 0.05.

The Chi-square test statistic is given by:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

The value of Chi-square test statistic is computed in the Excel sheet below.

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=8.383

Compute the <em>p</em>-value as follows:

\text{p-value}=P(\chi^{2}_{(4)}>8.383)=CHISQ.DIST.RT(8.383,4)=0.0785

The <em>p</em>-value of the test is 0.0785.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

<em>p</em>-value = 0.0785 > <em>α</em> = 0.05.

The null hypothesis will not be rejected.

Conclusion:

There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

You might be interested in
What is a multiple in math
Anit [1.1K]
A multiple in math is like 9: 9,18,27,36,45,54 or like 2:2,4,6,8,10,12,14
8 0
3 years ago
Which equation is the inverse of y = 2x2 - 8?
kirill [66]

Answer:

y =  \sqrt{ \frac{x + 8}{2} }

3 0
3 years ago
Does this image have a set of inputs to a set of possible outputs where each input is related to exactly one outputs Yes or No?
borishaifa [10]

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

3 0
3 years ago
Choose a random number between 1 and 25. What is the probability that it is an even number
CaHeK987 [17]

Answer:

6/25

Step-by-step explanation:

its a probability  out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25

3 0
3 years ago
Which function is graphed ?
DochEvi [55]

Answer:

its b :) then can i help you

3 0
2 years ago
Other questions:
  • Which size container of cold farm ice cream is the better deal for Sheldon? Explain.
    12·2 answers
  • A half-marathon 13 miles, how many kilometers is that?
    15·2 answers
  • How do you solve this problem <br><br> 5(x-3)+7=5x-8
    15·1 answer
  • 16 is more than a number 9. what is the number?
    12·2 answers
  • Yulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.
    9·1 answer
  • What is the answer ???
    5·1 answer
  • If A(3,4) and B(10,4) are the end points of a diameter of circle "O", what is the area of the circle O
    11·1 answer
  • What is the relationship between the ratios? 811 and 2433 Drag and drop to complete the statement.
    10·2 answers
  • Jessie goes to the market every 64 days. Chris goes to the same market every 72 days
    14·1 answer
  • The sum of all proportions in a frequency distribution should be______.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!