HSCI 390 - Bio Statistics » Spring 2020 » Lecture Homework 7

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Question #1
Data regarding average reported number of calories consumed per day is collected from a random sample of 800 CSUN students chosen using randomly selected student ID numbers. The mean reported number of calories consumed per day from the sample is found to be 2,700. What is the best estimate for the unknown population average reported number of calories consumed per day of all CSUN students? 
A.   800
B.   2,700
C.   1,000
D.   3,300
E.   2,340
Question #2
You have data from a sample of 65 workers at a local factory who are full time employees. The mean systolic blood pressure of this sample 120. You know that the population standard deviation (σ) of all workers' systolic blood pressure at the local factory is 18. Which of the below represents a 95% confidence interval for the unknown population mean systolic blood pressure of local factory workers who are full time employees. (hint: since the population standard deviation (σ) is known, you can use the z-distribution for your confidence interval construction.)
A.   [115.63 – 124.37]
B.   [118.82 – 134.39]
C.   [123.25 – 131.19]
D.   [119.83 – 121.65]
E.   [112.78 – 127.17]
Question #3
Use data from the previous question: "You have data from a sample of 65 workers at a local factory who are full time employees. The mean systolic blood pressure of this sample 120. You know that the population standard deviation (σ) of all workers' systolic blood pressure at the local factory is 18." Which of the below represents the best interpretation of the 95% confidence interval you calculated on the previous question for the unknown population mean systolic blood pressure of local factory workers who are full time employees? *note: the actual values for the confidence interval limits are left blank intentionally
A.   We are 95% confident that the sample mean systolic blood pressure of local factory workers who are full time employees falls between ___ and ___.
B.   We are 95% confident that the unknown population mean systolic blood pressure of local factory workers who are full time employees falls between ___ and ___.
C.   It is guaranteed that the unknown population mean systolic blood pressure of local factory workers who are full time employees falls between ___ and ___.
D.   About 95% of local factory workers who are full time employees have a systolic blood pressure between ___ and ___.
Question #4
Find the critical t-value(s) for a one sample t-test given: α = 0.05; df = 18; two-tailed test
A.   1.281
B.   3.639
C.   2.101 and -2.101
D.   2.160 and -2.160
E.   1.960 and -1.960
Question #5
Find the critical t-value(s) for a one sample t-test given: α = 0.01; n = 12; one-tailed test (lower-tailed critical region)
A.   3.103 and -3.103
B.   2.998
C.   -2.567
D.   -2.718
E.   2.130 and -2.130
Question #6
Find the critical t-value(s) for a one sample t-test given: α = 0.05; df = 26; one-tailed test (upper-tailed critical region)
A.   3.241
B.   2.042 and -2.042
C.   1.706
D.   -1.339
E.   -1.812
Question #7
What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test? α = 0.05; p value = 0.022
A.   Fail to reject (i.e., retain) the null hypothesis
B.   Reject the null hypothesis
Question #8
What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test? α = 0.01; p value = 0.524
A.   Fail to reject (i.e., retain) the null hypothesis
B.   Reject the null hypothesis
Question #9
What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test? α = 0.01; p value = 0.005
A.   Reject the null hypothesis
B.   Fail to reject (i.e., retain) the null hypothesis
Question #10
What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test? α = 0.05; p value = 0.232
A.   Reject the null hypothesis
B.   Fail to reject (i.e., retain) the null hypothesis
Question #11
What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test? critical t-values = 1.72 and -1.72; calculated test statistic = -2.025
A.   Reject the null hypothesis
B.   Fail to reject (i.e., retain) the null hypothesis
Question #12
What decision you would make regarding the null hypothesis (reject or fail to reject (i.e., retain)) given the following scenario in a one sample t-test? critical t-values = 2.898 and -2.898; calculated test statistic = 2.345
A.   Reject the null hypothesis
B.   Fail to reject (i.e., retain) the null hypothesis

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