Math 136 - Introduction to Statistics » Fall 2021 » Homework 14 HYPOTHESIS TESTING TESTING THE POPULATION MEAN SIGMA KNOWN

Need help with your exam preparation?

Question #1
Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that σ = 1.5°C test the claim that the population mean is 22°C. Use a 0.05 significance level. Find the claim for the question above
A.   H0: μ ≠ 22, H1: μ = 22
B.   H0: μ = 22, H1: μ > 22
C.   H0: μ = 22, H1: μ ≠ 22
D.   H0: μ ≥ 22, H1: μ < 22
Question #2
Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that σ = 1.5°C test the claim that the population mean is 22°C. Use a 0.05 significance level. Find the test statistics for the question above
A.   -10.33
B.   10.33
C.   -9.48
D.   9.48
Question #3
Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that σ = 1.5°C test the claim that the population mean is 22°C. Use a 0.05 significance level. Select the conclusion for the question above
A.   Fail to reject Ho
B.   Reject Ho
Question #4
The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that σ is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. Find the claim for the question above
A.   H0: μ = 200, H1: μ < 200
B.   H0: μ = 200, H1: μ ≠ 200
C.   H0: μ ≥ 200, H1: μ > 200
D.   H0: μ ≠ 200, H1: μ = 200
Question #5
The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that σ is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. Find the test statistics for the question above
A.   -0.98
B.   9.8
C.   -9.8
D.   0.98
Question #6
The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that σ is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. Select the conclusion for the question above
A.   Fail to reject Ho
B.   Reject Ho
Question #7
A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm. Find the claim for the question above
A.   H0: μ = 39.9, H1: μ < 39.9
B.   H0: μ ≠ 39.9, H1: μ = 39.9
C.   H0: μ ≥ 39.9, H1: μ > 39.9
D.   H0: μ = 39.9, H1: μ ≠ 39.9
Question #8
A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm. Find the test statistics for the question above
A.   5.73
B.   -5.73
C.   3.75
D.   -3.75
Question #9
A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm. Select the conclusion for the question above
A.   Reject Ho
B.   Fail to reject Ho
Question #10
Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 40 temperatures on 40 different days. Assuming that σ = 1.5°C, test the claim that the population mean is 23°C. Use a 0.05 significance level. Find the claim for the question above
A.   H0: μ = 23, H1: μ > 23
B.   H0: μ = 23, H1: μ ≠ 23
C.   H0: μ ≠ 23, H1: μ = 23
D.   H0: μ ≥ 23, H1: μ < 23
Question #11
Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 40 temperatures on 40 different days. Assuming that σ = 1.5°C, test the claim that the population mean is 23°C. Use a 0.05 significance level. Find the test statistics for the question above
A.   ±12.65
B.   ±15.62
C.   -12.65
D.   12.65
Question #12
Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 40 temperatures on 40 different days. Assuming that σ = 1.5°C, test the claim that the population mean is 23°C. Use a 0.05 significance level. Select the conclusion for the question above
A.   Reject Ho
B.   Fail to reject Ho

Need help with your exam preparation?