MAT 202 EXAM SCRIPT 2025/2026 QUESTIONS WITH
ANSWERS TAGGED A+
✔✔A simple random sample of 5-year-old boys from a city is obtained and their weights
are listed below.
50 38 58 51 34 89 57 44 75 27 64
Use a 0.05 significance level to find the critical value to test the claim that the population
mean is smaller than 50. Assume that the population has normal distribution.
Let
Z0.025 = 1.96; t0.025,10=2.23
Z0.05 = 1.65; t0.05,10=1.81 - ✔✔B. -1.81
✔✔Using the following uniform density curve, answer the question. - ✔✔E. 0.3375
✔✔A random sample of 100 preschool children in Camperdown revealed that only 60
had confidence been vaccinated Provide an approximate 99% interval for the proportion
vaccination in that suburb.
Let z0.005 = 2.5 - ✔✔D. (0.47, 0.73)
✔✔The weekly salaries of teachers in one state are normally distributed with a mean of
$490 and a standard deviation of $45. What is the probability that a randomly selected
teach more than $525 a week?
Let P(Z < 0.78) = 0.7823. P(Z < -1.28) = 0.1003. - ✔✔B. 0.2177
✔✔According to a survey. only 15% of customers who visited the web site of a major
retail store made a purchase. Random samples of size 50 are selected. The standard
deviation of all the sample proportions of customers who will make a purchase after
visiting the web site is - ✔✔D. 0.05050
✔✔A final exam in Math 150 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. - ✔✔E 0.0301
✔✔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 z0.05 = 2.58 - ✔✔C. 120
✔✔Suppose that the following is to be tested:
Ho: p= 0.72 and H1: p≠0.72
Calculate the test statistic for the following sample data Sixty-eight out of ninety test
subjects have the characteristic of interest
Round to the nearest thousandth
(See picture) - ✔✔C. 0.751
✔✔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)
✔✔According to a survey, only 15% of customers who visited the web site of a major
retail store made a purchase. Random samples of size 50 are selected. The standard
deviation of all the sample proportions of customers who will make a purchase after
visiting the web site is___ - ✔✔E. 0.08552
✔✔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 will be
conducted. Identify the type error for the test - ✔✔A. 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
✔✔If Z is a standard normal variable, find the probability that Z is greater than-1.82.
Let P(Z < 1.82) = 0.9656. - ✔✔E. 0.9656
✔✔You wish to test the claim that u= 1200 at a level of significance of a=0.01 and are
given simple statistics n=35 , t=1170, s=82 Compute the value of the test statistic.
Round your answer to two decimal places. - ✔✔A. -2.16
✔✔A researcher claims that 62% of voters favor gun control. Assume that a hypothesis
test of the given claim will be conducted. Identify the type Il error for the test. - ✔✔A.
ANSWERS TAGGED A+
✔✔A simple random sample of 5-year-old boys from a city is obtained and their weights
are listed below.
50 38 58 51 34 89 57 44 75 27 64
Use a 0.05 significance level to find the critical value to test the claim that the population
mean is smaller than 50. Assume that the population has normal distribution.
Let
Z0.025 = 1.96; t0.025,10=2.23
Z0.05 = 1.65; t0.05,10=1.81 - ✔✔B. -1.81
✔✔Using the following uniform density curve, answer the question. - ✔✔E. 0.3375
✔✔A random sample of 100 preschool children in Camperdown revealed that only 60
had confidence been vaccinated Provide an approximate 99% interval for the proportion
vaccination in that suburb.
Let z0.005 = 2.5 - ✔✔D. (0.47, 0.73)
✔✔The weekly salaries of teachers in one state are normally distributed with a mean of
$490 and a standard deviation of $45. What is the probability that a randomly selected
teach more than $525 a week?
Let P(Z < 0.78) = 0.7823. P(Z < -1.28) = 0.1003. - ✔✔B. 0.2177
✔✔According to a survey. only 15% of customers who visited the web site of a major
retail store made a purchase. Random samples of size 50 are selected. The standard
deviation of all the sample proportions of customers who will make a purchase after
visiting the web site is - ✔✔D. 0.05050
✔✔A final exam in Math 150 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. - ✔✔E 0.0301
✔✔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 z0.05 = 2.58 - ✔✔C. 120
✔✔Suppose that the following is to be tested:
Ho: p= 0.72 and H1: p≠0.72
Calculate the test statistic for the following sample data Sixty-eight out of ninety test
subjects have the characteristic of interest
Round to the nearest thousandth
(See picture) - ✔✔C. 0.751
✔✔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)
✔✔According to a survey, only 15% of customers who visited the web site of a major
retail store made a purchase. Random samples of size 50 are selected. The standard
deviation of all the sample proportions of customers who will make a purchase after
visiting the web site is___ - ✔✔E. 0.08552
✔✔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 will be
conducted. Identify the type error for the test - ✔✔A. 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
✔✔If Z is a standard normal variable, find the probability that Z is greater than-1.82.
Let P(Z < 1.82) = 0.9656. - ✔✔E. 0.9656
✔✔You wish to test the claim that u= 1200 at a level of significance of a=0.01 and are
given simple statistics n=35 , t=1170, s=82 Compute the value of the test statistic.
Round your answer to two decimal places. - ✔✔A. -2.16
✔✔A researcher claims that 62% of voters favor gun control. Assume that a hypothesis
test of the given claim will be conducted. Identify the type Il error for the test. - ✔✔A.
