A gardener plants some tomato seeds, and after 30 days measures the heights (in
ID: 3292079 • Letter: A
Question
A gardener plants some tomato seeds, and after 30 days measures the heights (in cm) of a random sample of 100 of the seedlings. The data are recorded below
a) (3 marks) Assuming the seedling heights are iid, provide an (approximate) 98% confidence interval for the mean height.
b) (1 mark) Which result allows you to make the required approximation in a)?
c) (2 marks) Provide a formal interpretation of your confidence interval in a).
9
9.8
9.5
10.3
10.1
9.4
12
10.6
9.1
11.8
9.8
11.2
9.3
9.1
9.9
8
11.3
9
11.2
9.8
10.1
11.2
9.3
12.2
9.1
9.9
10.7
10.8
10
10.3
9.5
10.5
9.5
8.6
9.6
11
7.4
7.4
9.8
8.6
10.5
10.2
10.1
10.2
8.4
8.6
10.5
8.5
10.1
8.5
11
10.1
8.7
7.9
10.6
9.9
10.3
9.9
8.5
10.5
11.4
9.2
9.4
8.9
11.4
9.4
9.6
11.7
11.4
9.3
8.9
10
10.3
9.5
9.9
10.3
8.1
10.6
12.2
8.8
10.5
10.5
11.1
9
11.3
9.1
9.9
11.1
8.4
10.9
12.3
10.8
10.3
11.2
11
8.5
10.7
10.5
10.8
11.6
Explanation / Answer
One-Sample T: height
Descriptive Statistics
: mean of height
there is 98 % confidence that population mean is within this confidence interval
N Mean StDev SE Mean 98% CI for 100 9.985 1.089 0.109 (9.728, 10.242)Related Questions
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