Suppose you compute a confidence interval with a sample size of 100. What will happen to the confidence interval if the sample size decreases to 80? options: A) Sample size will become wider if the confidence interval decreases B) Confidence interval will become narrower if the sample size is decreased. C) Sample size will become wider if the confidence interval increases D) Confidence interval will become wider if the sample size is decreased.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For each scenario, use the drop-down menu to identify if the intended inference is a Confidence Interval or a Hypothesis Test. Does the number of college students changing their major decrease over time? Analysts took a random sample of 50 students in their freshman and sophomore years and identified how many had changed their majors. The analysts then took a random sample of 80 students in their junior and senior years and identified how many changed their majors. The intended method for inference in this situation is a . What is the average age people get married? In 1960, people would get married at 22 years of age, on average. Marriage counselors want to determine the average age at marriage for the year 2020. The intended method for inference in this situation is a . Is there a difference in the birth weight of a male infant versus a female infant? Obstetricians at a local hospital find the average weight of 120 male infants at birth and 120 female infants at birth.…
For each example, choose the confidence interval that has a larger margin of error. 1) OA 90% confidence interval for a mean contructed from a sample of 55 OA 90% confidence interval for a mean contructed from a sample of 45 2) OA 90% confidence interval for a mean constructed from a sample of 45 OA 92% confidence interval for a mean constructed from a sample of 45 3) OA 90% confidence interval for a mean constructed from a sample of 45, using s OA 90% confidence interval for a mean constructed from a sample of 45, using o
3. In a random sample of 300 persons eating lunch at a Lexington pizzeria, 270 ordered pizza. a) Find and interpret a 95% confidence interval for the true proportion of people who eat pizza at this Lexington pizzeria? b) If we take 270/300 = 0.90 as an estimate of the corresponding true proportion, with what confidence can we assert that our error is less than 0.04?
Suppose the mean income of firms in the industry for a year is $25 million with a standard deviation of $9 million. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than $34 million? Round your answer to four decimal places
You want to estimate the difference between two population proportions using an 80% confidence interval. You need to take samples that are large enough, so that the width of the confidence interval does not exceed 5.0%. You wish to take two samples (one from each population) of the same size n. The populations have not been sampled before, and therefore you have no information about what the two proportions may be. Using the most conservative estimates for the two population proportions, what is the minimum sample size you will need (for both of the samples)? (Round the result up to the nearest integer.)
A study was done of 6 patients admitted to a hospital. Their ages (x) and systolic blood pressure (y) was recorded. Systolic blood pressure (y) Age (x) 43 123 48 125 56 135 61 143 67 145 70 152 Determine the equation of the regression equation, reporting each to 3 decimal places. A. Slope is B. Y intercept is C. Compute the residual for x = 43, using the rounded slope and y intercept. Report answer to 3 decimal places.
Which of the following statement(s) about confidence intervals are correct? 1) There is no relationship between sample size and confidence interval's width 2) the smaller the sample size, the wider the confidence interval. 3) The higher the confidence level, The narrower the confidence interval. 4) The higher the confidence level, The wider the confidence interval. 5) The larger the sample size, The wider the confidence interval. 6) There is no relationship between confidence level and confidence interval's width.
Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)
7. A company that has many department stores in the southern states wanted to find at two such stores the percentage of sales for which at least one of the items was returned. A sample of 800 sales randomly selected from Store A showed that for 280 of them at least one item was returned. Another sample of 900 sales randomly selected from Store B showed that for 279 of them at least one item was returned. a. Construct a 98% confidence interval for the difference between the proportions of all sales at the two stores for which at least one item is returned. b. Using the 10% significance level, can you conclude that the proportions of all sales for which at least one item is returned is higher for Store A than for Store B?
2. Bob draws a simple random sample from an extremely large population of lemons. The sample size is n=700 and in the sample 250 lemons turn out to be good and 450 lemons turn out to be bad. Find the 95% confidence interval for the population proportion p of good lemons.
6. A researcher takes a sample of people, and asks them how they would vote for president. When she creates her confidence interval, she has a standard error of .082. If she wanted to get a smaller standard error, what could she do? Group of answer choices Ask a different research question. Take a smaller sample. Take a larger sample. None of the above would create a smaller standard error.
3. Bob draws a simple random sample from an extremely large population of lemons. The sample size is n=925 and in the sample 576 lemons turn out to be good and 349 lemons turn out to be bad. Find the 99% confidence interval for the population proportion P of good lemons.

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