 XRYTQK The Asker · Probability and Statistics
Sales at an ice creamery are heavily reliant on the weather. A sample of the number of ice creams sold per day and the temperature in degrees Celsius was gathered for
10
days. The temperature was used to predict ice cream sales. The results show that
b1=0.3943
and
Sb1=0.0178.
a. At the 0.05 level of​ significance, is there evidence of a linear relationship between temperature and ice cream​ sales?
b. Construct a​ 95% confidence interval estimate of the population​ slope,
β1.
Click here to view page 1 of the table of the critical values of t.
Click here to view page 2 of the table of the critical values of t.

a. Determine the hypotheses for the test. Choose the correct answer below.

A.
H0​:
β0≥0
H1​:
β0<0

B.
H0​:
β1=0
H1​:
β1≠0

C.
H0​:
β1≥0
H1​:
β1<0

D.
H0​:
β0≤0
H1​:
β0>0

E.
H0​:
β0=0
H1​:
β0≠0

F.
H0​:
β1≤0
H1​:
β1>0
Calculate the test statistic.

​(Round to two decimal places as​ needed.)
Determine the critical​ value(s).

The critical​ value(s) is(are)
​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)
Reach a decision.

Do not reject
Reject
H0.
There is

insufficient
sufficient
evidence to conclude that there is a linear relationship between temperature and ice cream sales.
b. The​ 95% confidence interval is