Math302 knowledge check - Study guides, Class notes & Summaries

1. Question: An adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new online learning module increased placement scores at a significance level of α = 0.05. For the context of this problem, μD=μnew–μold where the first data set represents the new test scores and the second data set represents old test scores. Assume the population is normally distributed. 2. Question: A researcher is testing reaction times between the...

1. Question: An adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new online learning module increased placement scores at a significance level of α = 0.05. For the context of this problem, μD=μnew–μold where the first data set represents the new test scores and the second data set represents old test scores. Assume the population is normally distributed. 2. Question: A researcher is testing reaction times between the...

1. Question: Find the area under the standard normal distribution to the left of z = -1.05. Round answer to 4 decimal places. 2. Question: Arm span is the physical measurement of the length of an individual's arms from fingertip to fingertip. A man's arm span is approximately normally distributed with mean of 70 inches with a standard deviation of 4.5 inches. Find length in inches of the 99th percentile for a man's arm span. Round answer to 2 decimal places. 3. Question: Find P(-1.96 ≤ Z ...

1. Question: An adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new online learning module increased placement scores at a significance level of α = 0.05. For the context of this problem, μD=μnew–μold where the first data set represents the new test scores and the second data set represents old test scores. Assume the population is normally distributed. 2. Question: A researcher is testing reaction times between the...

1. Question: A group of test subjects is divided into twelve groups; then four of the groups are chosen at random. What type of sampling is used? 2. Question: The first 50 people who walk into a sporting event are polled on their television preferences. What type of sampling was used? 3. Question: What is the sampling method used in the following scenario? The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each st...

1. Question: Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the standard deviation. Round answer to 4 decimal places. 2. Question: A coin is flipped 30 times. Find σ². Round to 1 decimal place. 3. Question: It is known that 50% of adult workers have a high school diploma. If a random sample of 6 adult workers is selected, what is the probability that 3 or more of them have a high school diploma? 4. Question: Suppose a random variable, x, arise...

1. Question: Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was estimated that the current proportion of customers who click on ads on their smartphones is 0.68. How many customers should the company survey in order to be 97% confident that the margin of error is 0.29 for the confidence interval of true proportion of customers who click on ads on their smartphones? 2. Question: There is no prior information about the ...

1. Question: Find the area under the standard normal distribution to the left of z = -1.05. Round answer to 4 decimal places. 2. Question: Arm span is the physical measurement of the length of an individual's arms from fingertip to fingertip. A man's arm span is approximately normally distributed with mean of 70 inches with a standard deviation of 4.5 inches. Find length in inches of the 99th percentile for a man's arm span. Round answer to 2 decimal places. 3. Question: Find P(-1.96 ≤ Z ...

1. Question: A company manager believes that a person's ability to be a leader is directly correlated to their zodiac sign. He never selects someone to chair a committee without first evaluating their zodiac sign. An irate employee sets out to prove her manager wrong. She claims that if zodiac sign truly makes a difference in leadership, then a random sample of 210 CEO's in our country would reveal a difference in zodiac sign distribution. She finds the following zodiac signs for her random sa...

1. Question: Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the standard deviation. Round answer to 4 decimal places. 2. Question: A coin is flipped 30 times. Find σ². Round to 1 decimal place. 3. Question: It is known that 50% of adult workers have a high school diploma. If a random sample of 6 adult workers is selected, what is the probability that 3 or more of them have a high school diploma? 4. Question: Suppose a random variable, x, arise...