Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year X y 3 42.75 4 42.24 5 38.83 6 39.02 7 36.31 8 33.5 9 30.29 10 29.18 13 11 26.27 12 23 24.66 23.45 14 23.64 15 21.73 16 17.52 17 15.61 18 14.6 Calculate the correlation coefficient. (Round to three decimal places.) -0.993 Let's test the significance of the correlation coefficient at α = 0.1 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 = 0.00015 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 Submit Question

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Author:Amos Gilat
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Annual high temperatures in a certain location have been
tracked for a sample of 16 years. Let
and the high temperature (in ).
represent the year
X
y
3
42.75
4 42.24
5
38.83
6
39.02
7
36.31
8
33.5
9
30.29
10
29.18
13
11 26.27
12
23
24.66
23.45
14
23.64
15
21.73
16
17.52
17
15.61
18
14.6
Calculate the correlation coefficient. (Round to three
decimal places.)
-0.993
Let's test the significance of the correlation coefficient
at α = 0.1 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
= 0.00015
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
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Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year X y 3 42.75 4 42.24 5 38.83 6 39.02 7 36.31 8 33.5 9 30.29 10 29.18 13 11 26.27 12 23 24.66 23.45 14 23.64 15 21.73 16 17.52 17 15.61 18 14.6 Calculate the correlation coefficient. (Round to three decimal places.) -0.993 Let's test the significance of the correlation coefficient at α = 0.1 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 = 0.00015 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 Submit Question
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