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In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.
1. Compute the standard error of the proportion.
2. What is the probability that the sample contains at least 12 business majors?
3. What is the probability that the sample contains less than 15 business majors?
4. What is the probability that the sample contains between 12 and 14 business majors?
What does the accompanying scatterplot suggest about the shape of the distribution for hours studied per week?
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What is the probability that the point thus chosen will lie in an arc (i) with a number 1 to 10, inclusive, (ii) with an odd number, (iii) numbered O?
Since 38% is less than 40%, does this mean that immediate production cutbacks are needed or can this difference of 2 percentage points be attributed to sampling?
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