Martin and Bianca are going to construct confidence intervals from different simple random samples.  Both confidence intervals will have level 99%.  Martin's sample has standard deviation of 25 and Bianca's sample has standard deviation of 18.  Both sample sizes are the same.   (a) Which confidence interval will have the larger margin of error ?  Or will they both be the same?  Explain why. (b)  Which confidence

The Woodcock-Johnson Cognitive Ability test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2.  Do the scores provide good evidence that the mean IQ of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. What are the confidence intervals for this data? What is the value of the test statistic? What is the p-value for this data? What is your decision about the null hypothesis? summerize the conclusion in the context

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The com reported  the medical doctors’  salary level. The mean salary for the doctor is $250,000 and standard deviation of $100,000. Find the following probabilities assuming that doctor’s salary has a normal distribution.   Suppose we don’t have any information about population, and from a sample of 100 doctors, we find the sample mean salary was $255,000 with the standard deviation of $99,500. What is the 95% confidence interval? Based on the standard deviation of $100,000 and allow the margin of errors to $20,000, what is your sample size should be at 95% confidence level.

An agronomist would like to estimate the average weight of all Indian River County oranges. The mean weight of a random sample of 115 Indian River County oranges was found to be 129 grams. The standard deviation of the weights of all Indian River County oranges is known to be 17 grams. Find three different confidence intervals - one with a 99% confidence level, one with a 95% confidence level, and one with a 90% confidence level - for the mean weight of all Indian River County oranges. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Round solutions to two decimal places, if necessary. The margin of error for a 99% confidence interval is given by E = A 99% confidence interval is given by

Two researchers, Jaime and Mariya, are each constructing confidence intervals for the proportion of a population who is lef-handed. They find the point estimate is 0.23. Each independently constructed a confidence interval based on the point estimate, but Jaime's interval has a lower bound of 0.220 and an upper bound of 0.234, while Mariya's interval has a lower bound of 0.169 and an upper bound of 0.272. Which interval is wrong? Why? 28 Choose the correct answer below. OA Jaime's interval is wrong because it does not include the point estimate. OB. Mariya's interval is wrong because it is too wide. OC. Mariya's interval is wrong because it is not centered on the point estimate, OD. Jaime's interval is wrong because it is to narrow O of 36

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Suppose a new standardized test is given to 108 randomly selected third-grade students in New Jersey. The sample average score Y on the test is 62 points, and the sample standard deviation, sy, is 10 points. The authors plan to administer the test to all third-grade students in New Jersey. The 95% confidence interval for the mean score of all New Jersey third graders is (.). (Round your responses to two decimal places.) Suppose the same test is given to 216 randomly selected third graders from lowa, producing a sample average of 66 points and sample standard deviation of 13 points. The 90% confidence interval for the difference in mean scores between lowa and New Jersey is -6.22.). (Round your responses to two decimal places.) The p-value of the test of no difference in means versus some difference is 0.0024. (Round your response to four decimal places.) Can you conclude with a high degree of confidence that the population means for lowa and New Jersey students are different? OA.…

you conducted additional studies with these men and found the following: a. The RR for those who drank one drink per day was 1.50 (95% CI:1.32-1.67) in comparison to the abstainers. b. For those men who drank three or more drinks per day the RR compared to the abstainers was 4.20 (95% CI 2.68-5.85).  Question:  We can tell from the Confidence Intervals provided in #7 whether there are likely more people in the “one drink a day” group or the “3+ drinks per day” group. Which one likely has more people and how can we tell?

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