Annual high temperatures in a certain location have been tracked for a sample of 8 years. Let and represent the year the high temperature (in ). X y 5 15.7 6 18.48 7 20.36 8 23.24 9 26.12 10 30.6 11 32.68 12 34.96 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. Reject the null hypothesis. Do not 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 Question Help: ▸ Video

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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Annual high temperatures in a certain location have been
tracked for a sample of 8 years. Let
and
represent the year
the high temperature (in
).
X
y
5
15.7
6 18.48
7 20.36
8 23.24
9
26.12
10
30.6
11
32.68
12 34.96
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.
Reject the null hypothesis.
Do not 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
Question Help:
▸ Video
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 8 years. Let and represent the year the high temperature (in ). X y 5 15.7 6 18.48 7 20.36 8 23.24 9 26.12 10 30.6 11 32.68 12 34.96 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. Reject the null hypothesis. Do not 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 Question Help: ▸ Video
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