At the end of a statistics course,110 students sit an examination. The marks are grouped into classes,
Question:
At the end of a statistics course,110 students sit an examination. The marks are grouped into classes, as shown in the following table.
It is believed that the mean for the population is 47.5.
a. Show that the unbiased estimator for the standard deviation of these data is 35.38.
b. Test, at the 0.5% significance level, whether the data fit a normal distribution with mean 47.5.
Transcribed Image Text:
Marks (X) Number of students 0-29 22 30-34 8 35-39 8 40 49 16 50-59 20 60-69 16 70-90 20 E x= 5305, x? = 392247.5
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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