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At the beginning of the course of Statistical Methods I, the instructor recommended that students devote 3 hours per week for the duration of the 13-week semester, for a total of 39 hours. It is known that the time spent on studying statistics follow a normal distribution. Throughout the course duration, students were claiming that they were following the instructor's recommendation. At the course completion, a random sample of 10 students enrolled in the course was drawn where each student was asked how many hours he or she spent doing homework in statistics. The data are listed below:
45
38
37
40
44
46
42
43
Formulate a suitable null and alternative hypothesis to test the students' claim that they followed their instructor's recommendation at a 5% level of significance and interpret your findings.
Change the frequencies to percentages - is there a group more likely to get high salaries.
The budgeting process for a Midwestern college resulted in expense forecasts for the coming year (in $ millions) of $9, $10, $11, $12, and $13. Since the actual expenses are unknown, the following respective probabilities are assigned: .3, .2, .25..
Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
How large a sample should be taken if the desired margin of error is?
To test whether there is significant mean difference between two groups using independent sample t test.
Write the null and alternative hypotheses you would use to test the following situation.
What is the distribution of X? State its mean and variance.
The main purpose of this exercise is to check your understanding of significance level, p-values and power .
A pediatrician is interested in studying the effect of Motrin on reducing temperature in young children. Four children with influenza have their temperatures taken immediately before and then 20 minutes after taking a standard dose
Using Sally's estimate of demand that follows, how many T-shirts should she produce for the upcoming event?
Agricultural researchers are studying three different ways of planting peanuts to determine whether significantly different levels of production yield will result.
Which is the estimated or dear proportion of defective cups in the population?
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