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MATH 302 Exam | Questions and Answers Latest {2024- 2025} A+ Graded | 100% Verified




Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a
given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.

What is the probability that greater than 40 batteries will last at least 8 hours? - 0.0402



Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and
standard deviation of 15. The instructor wishes to give a grade of "C" to students scoring between the
60th and 70th percentiles on the exam.

What score represents the 70th percentile score on the mathematics exam? Place your answer in the
blank, rounded to a whole number. For example, 62 would be a legitimate entry - 0.5



Suppose you compute a confidence interval with a sample size of 25. What will happen to the
confidence interval if the sample size increases to 50? - get smaller



When you calculate the sample size for a proportion, you use an estimate for the population proportion;
p. A conservative value for n can be obtained by using - 0.50



If everything else stays the same, the required sample size ____________ as the confidence level
decreases to reach the same margin of error. - decreases



Which confidence level would give the narrowest margin of error? - 80%



A researcher finds a 95% confidence interval for the average commute time in minutes using public
transit is (15.75, 28.25). What is the correct interpretation of this interval? - We are 95% confident that
the interval 15.75 < μ < 28.25 contains the population mean commute time in minutes using public
transportation.



Suppose a marketing company computed a 92% confidence interval for the true proportion of
customers who click on ads on their smartphones to be (0.48 , 0.54). Select the correct answer to
interpret this interval - We are 92% confident that the true proportion of customers who click on ads on
their smartphones is between 0.48 and 0.54.

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