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 y 5 18.35 6 17.58 7 21.11 8 20.34 9 19.77 10 24.2 11 24.23 12 25.36 13 26.89 14 26.92 15 25.65 16 26.48 17 30.51 18 29.24 19 32.67 20 33.1 Calculate the correlation coefficient. (Round to three decimal places.) r = 0.964 Let's test the significance of the correlation coefficient at α = 0.01 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. ↓ = b. Calculate the p-value. Round to four decimal places. p-value = 0.0000 c. Make a decision. Ꮕ 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? No Yes
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 y 5 18.35 6 17.58 7 21.11 8 20.34 9 19.77 10 24.2 11 24.23 12 25.36 13 26.89 14 26.92 15 25.65 16 26.48 17 30.51 18 29.24 19 32.67 20 33.1 Calculate the correlation coefficient. (Round to three decimal places.) r = 0.964 Let's test the significance of the correlation coefficient at α = 0.01 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. ↓ = b. Calculate the p-value. Round to four decimal places. p-value = 0.0000 c. Make a decision. Ꮕ 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? No Yes
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
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I just need the t answer because the answer I got which was 13.565 was inco
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
y
5
18.35
6 17.58
7
21.11
8
20.34
9
19.77
10
24.2
11
24.23
12
25.36
13 26.89
14 26.92
15
25.65
16
26.48
17
30.51
18
29.24
19
32.67
20 33.1
Calculate the correlation coefficient. (Round to three
decimal places.)
r = 0.964
Let's test the significance of the correlation coefficient
at α =
0.01 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.
↓ =
b. Calculate the p-value. Round to four decimal places.
p-value
= 0.0000
c. Make a decision.
Ꮕ
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?
No
Yes
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