MAT 202 EVALUATION EXAM 2025/2026 QUESTIONS
WITH ANSWERS TAGGED A+
✔✔You wish to test the claim that μ = 1200 at a level of significance of a = 0.01 and are
given sample statistics n = 35, x = 1170, s= 82. Compute the value of the test statistic.
Round your answer to two decimal places. - ✔✔A. -2.16
✔✔You wish to test the claim that u ≠ 17 at a level of significa of a = 0.05 and are given
sample statistics n = 35.5 , x = 16.1, s = 2.7. Compute the value of the test sta Round
your answer to two decimal places. - ✔✔A. -1.97
✔✔A random sample of 100 preschool children in Camperdown revealed that only 60
had been vaccinated. Provide an approximate 99% confidence interval for the
proportion vaccination in that suburb.
Let z0.005 = 2.58 - ✔✔A. (0.47: 0.73)
✔✔A savings and loan association needs information regarding the checking account
balances of its local customers. A random sample of 14 accounts was checked and
yielded a mean balance of $664.14 and a standard deviation of $297.29. Find a 98%
confidence interval for the true mean checking account balance for local customers.
Assume that the population has a normal
Let 20.01 = 2.33 and to.01.13 = 2.65 - ✔✔(479.011; 849.268)
✔✔The principal randomly selected six students to take an aptitude test. Their scores
were
77.9 89.1 80.7 78.6 74.4 82.0
Determine a 90% confidence interval for the mean score for all students. Assume that
the population has a normal distribution.
Let t0.05,5 = 2.0 - ✔✔E. (76.35:84.55)
✔✔ Carter Motor Company claims that its new sedan, the Libra, will average better than
23 miles per gallon in the city. Assume that a hypothesis test of the given claim error for
the test. - ✔✔C. The error of failing to reject the claim that the mean is at most 23 miles
per gallon when it is actually greater than 23 miles per gallon.
✔✔Use the margin of error. confidence level, and standard deviation to find the
minimum sample size required to estimate an unknown population mean.
Margin of error: $126. confidence level: 99%. standard deviation = $534.
, (Let Z0.005 = 2.58) - ✔✔E. 120
✔✔The principal randomly selected six students to take an aptitude test. Their scores
were:
77.9 89.1 80.7 78.6 74.4 82.0
Determine a 90% confidence interval for the mean score for all students. Assume that
the population has a normal distribution.
Let t0.05,5 = 2.02 - ✔✔C. (76.35: 84.55)
✔✔If Z is a standardized normal variable, find the probability P(Z > 0.59).
Let P(Z < 0) = 0.5, P(Z < 0.59) = 0.7224, P(Z < 0.77) = 0.7810. - ✔✔B. 0.2776
✔✔A random sample of 79 light bulbs had a mean life of x= 400 hours with a standard
deviation of o= 28 hours. Construct a 90 percent confi dence interval for the mean life of
all light bulbs of this type.
Let z0.05 = 1.65 and t0.05,78 = 1.66 - ✔✔C. (395: 405)
✔✔If Z is a standard normal variable, find the probability that Z is greater than -1.82
Let P(Z < 1.82) = 0.9656. - ✔✔A. 0.9656
✔✔A savings and loan association needs information regarding the checking account
balances of its local customers. A random sample of 14 accounts was checked and
yielded a mean balance of $664.14 and a standard deviation of $297.29. Find a 98%
confidence interval for the true mean checking account balance for local customers.
Assume that the population has a normal distribution.
Let z0.01 = 2.33 and t0.01,13 = 2.65 - ✔✔B. ($453.59:$874.69)
✔✔. (Choose 1 answer)
A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students
are randomly selected, find the probability that the mean of their test scores is less than
70.
Let P(Z < -1.88)= 0.0301. P(Z < 1.28) = 0.8997. - ✔✔B. 0.0301
WITH ANSWERS TAGGED A+
✔✔You wish to test the claim that μ = 1200 at a level of significance of a = 0.01 and are
given sample statistics n = 35, x = 1170, s= 82. Compute the value of the test statistic.
Round your answer to two decimal places. - ✔✔A. -2.16
✔✔You wish to test the claim that u ≠ 17 at a level of significa of a = 0.05 and are given
sample statistics n = 35.5 , x = 16.1, s = 2.7. Compute the value of the test sta Round
your answer to two decimal places. - ✔✔A. -1.97
✔✔A random sample of 100 preschool children in Camperdown revealed that only 60
had been vaccinated. Provide an approximate 99% confidence interval for the
proportion vaccination in that suburb.
Let z0.005 = 2.58 - ✔✔A. (0.47: 0.73)
✔✔A savings and loan association needs information regarding the checking account
balances of its local customers. A random sample of 14 accounts was checked and
yielded a mean balance of $664.14 and a standard deviation of $297.29. Find a 98%
confidence interval for the true mean checking account balance for local customers.
Assume that the population has a normal
Let 20.01 = 2.33 and to.01.13 = 2.65 - ✔✔(479.011; 849.268)
✔✔The principal randomly selected six students to take an aptitude test. Their scores
were
77.9 89.1 80.7 78.6 74.4 82.0
Determine a 90% confidence interval for the mean score for all students. Assume that
the population has a normal distribution.
Let t0.05,5 = 2.0 - ✔✔E. (76.35:84.55)
✔✔ Carter Motor Company claims that its new sedan, the Libra, will average better than
23 miles per gallon in the city. Assume that a hypothesis test of the given claim error for
the test. - ✔✔C. The error of failing to reject the claim that the mean is at most 23 miles
per gallon when it is actually greater than 23 miles per gallon.
✔✔Use the margin of error. confidence level, and standard deviation to find the
minimum sample size required to estimate an unknown population mean.
Margin of error: $126. confidence level: 99%. standard deviation = $534.
, (Let Z0.005 = 2.58) - ✔✔E. 120
✔✔The principal randomly selected six students to take an aptitude test. Their scores
were:
77.9 89.1 80.7 78.6 74.4 82.0
Determine a 90% confidence interval for the mean score for all students. Assume that
the population has a normal distribution.
Let t0.05,5 = 2.02 - ✔✔C. (76.35: 84.55)
✔✔If Z is a standardized normal variable, find the probability P(Z > 0.59).
Let P(Z < 0) = 0.5, P(Z < 0.59) = 0.7224, P(Z < 0.77) = 0.7810. - ✔✔B. 0.2776
✔✔A random sample of 79 light bulbs had a mean life of x= 400 hours with a standard
deviation of o= 28 hours. Construct a 90 percent confi dence interval for the mean life of
all light bulbs of this type.
Let z0.05 = 1.65 and t0.05,78 = 1.66 - ✔✔C. (395: 405)
✔✔If Z is a standard normal variable, find the probability that Z is greater than -1.82
Let P(Z < 1.82) = 0.9656. - ✔✔A. 0.9656
✔✔A savings and loan association needs information regarding the checking account
balances of its local customers. A random sample of 14 accounts was checked and
yielded a mean balance of $664.14 and a standard deviation of $297.29. Find a 98%
confidence interval for the true mean checking account balance for local customers.
Assume that the population has a normal distribution.
Let z0.01 = 2.33 and t0.01,13 = 2.65 - ✔✔B. ($453.59:$874.69)
✔✔. (Choose 1 answer)
A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students
are randomly selected, find the probability that the mean of their test scores is less than
70.
Let P(Z < -1.88)= 0.0301. P(Z < 1.28) = 0.8997. - ✔✔B. 0.0301
