Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let and the high temperature (in ). represent the year X y 5 8.9 6 8.03 7 7.86 8 5.69 10 11 12 13 90123 6.32 4.25 5.18 3.41 3.24 14 4.77 15 3 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at α = = 0.05 significance level. Ho There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. O Do not reject the null hypothesis. Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No
Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let and the high temperature (in ). represent the year X y 5 8.9 6 8.03 7 7.86 8 5.69 10 11 12 13 90123 6.32 4.25 5.18 3.41 3.24 14 4.77 15 3 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at α = = 0.05 significance level. Ho There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. O Do not reject the null hypothesis. Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
Related questions
Question
![Annual high temperatures in a certain location have been
tracked for a sample of 11 years. Let
and the high temperature (in ).
represent the year
X
y
5
8.9
6 8.03
7 7.86
8
5.69
10
11
12
13
90123
6.32
4.25
5.18
3.41
3.24
14
4.77
15
3
Calculate the correlation coefficient. (Round to three
decimal places.)
r =
Let's test the significance of the correlation coefficient
at α = = 0.05 significance level.
Ho There is not a significant relationship between the
year and high temperature, i.e., p = 0.
Ha There is a significant relationship between the year
and high temperature, i.e., p = 0.
a. Calculate the test statistic. Round to three decimal
places.
t =
b. Calculate the p-value. Round to four decimal places.
p-value
c. Make a decision.
O Do not reject the null hypothesis.
Reject the null hypothesis.
d. Is there enough evidence to support that there is a
significant relationship between the year and high
temperature?
Yes
No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70f429ec-56f7-4b96-8a9a-8fbac7039dcc%2F2a079f52-1c98-4e97-bacf-e7d3b5854b3c%2Fe9mmw7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Annual high temperatures in a certain location have been
tracked for a sample of 11 years. Let
and the high temperature (in ).
represent the year
X
y
5
8.9
6 8.03
7 7.86
8
5.69
10
11
12
13
90123
6.32
4.25
5.18
3.41
3.24
14
4.77
15
3
Calculate the correlation coefficient. (Round to three
decimal places.)
r =
Let's test the significance of the correlation coefficient
at α = = 0.05 significance level.
Ho There is not a significant relationship between the
year and high temperature, i.e., p = 0.
Ha There is a significant relationship between the year
and high temperature, i.e., p = 0.
a. Calculate the test statistic. Round to three decimal
places.
t =
b. Calculate the p-value. Round to four decimal places.
p-value
c. Make a decision.
O Do not reject the null hypothesis.
Reject the null hypothesis.
d. Is there enough evidence to support that there is a
significant relationship between the year and high
temperature?
Yes
No
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