The following cholesterol levels were found in a random sample of 10 women aged 20 to 24 engaged in a low-fat diet program: 183 180 190 186 182 188 180 186 168 184 At 5% level of significance, is there evidence to suggest that the mean cholesterol level of the population of women aged 20 to 24 engaged in a low-fat diet program is less than 180? 1. What are the appropriate hypotheses? 2. is the computed test statistic? (Use Excel values) 3. What is the appropriate conclusion based on the steps done on this hypothesis test? 4.Which of the following is NOT true? (Use Excel values) a. The null hypothesis should not be rejected. b. The p-value is 0.0979. c. The critical value is 1.83. d. The null hypothesis should be rejected. 5. Which of the following is NOT true about the given problem? a. A two-tailed test should be performed. b. Based on the given information, a t-test should be conducted. c. α=0.05 d. The degree of freedom is 9.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The following cholesterol levels were found in a random sample of 10 women aged 20 to 24 engaged in a low-fat diet program:
183 180 190 186 182 188 180 186 168 184
At 5% level of significance, is there evidence to suggest that the mean cholesterol level of the population of women aged 20 to 24 engaged in a low-fat diet program is less than 180?
1. What are the appropriate hypotheses?
2. is the computed test statistic? (Use Excel values)
3. What is the appropriate conclusion based on the steps done on this hypothesis test?
4.Which of the following is NOT true? (Use Excel values)
|
a.
|
The null hypothesis should not be rejected. |
|
b.
|
The p-value is 0.0979. |
|
c.
|
The critical value is 1.83. |
|
d.
|
The null hypothesis should be rejected. |
5. Which of the following is NOT true about the given problem?
|
a.
|
A two-tailed test should be performed. |
|
b.
|
Based on the given information, a t-test should be conducted. |
|
c.
|
α=0.05 |
|
d.
|
The degree of freedom is 9. |
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