A mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. She surveys 42 of her neighbors and finds that their taxes decreased (in dollars) as follows: 137, 211, 147, 146, 113, 126, 165, 165, 191, 133, 156, 181, 160, 213, 158, 159, 251, 202, 176, 239, 134, 126, 156, 128, 165, 150, 123, 192, 134, 166, 225, 153, 121, 150, 163, 228, 209, 109, 191, 165, 202, 157 The statistician assumes a population standard deviation of $35. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ?v= Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are [Select an answer with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P??✔ P(?? =

A conservative radio talk show host with a large audience is interested in the proportion p ofadults in his listening area who think the drinking age should be lowered to eighteen. To findthis out, he poses the following question to his listeners: “Do you think that the drinking ageshould be reduced to eighteen in light of the fact that eighteen year‐olds are eligible for militaryservice?” He asks listeners to phone in and vote “Yes” if they agree the drinking age should belowered and “No” if not. Of the 100 people who phoned in, 70 answered “Yes.” a. List one source of sampling bias (i.e. bias based on the people included in the sample). b. List another source of bias (sampling or non-sampling).

A researcher wants to determine the percentage of American teenagers who send or receive text messages while doing homework. Which of the following techniques would likely be the MOST efficient way of obtaining an accurate estimate for this percentage? 1. Randomly select teenagers from the list of all teenage students in every state in America and mail surveys to those teens, asking them if they send or receive text messages while doing homework. 2. Send a survey to every teenager in America and ask them if they send or receive text messages while doing homework. 3. Randomly select teenagers from the list of all teenage students in one state and mail surveys to those teens, asking them if they send or receive text messages while doing homework.

A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99% confident that his estimate is in error by no more than four percentage points? Complete parts (a) through (c) below. a) Assume that nothing is known about the percentage of computers with new operating systems. n= (Round up to the nearest integer.)

The annual salary for a sample of U.S. governors in 2017 are as follows: $120395, $177467, $130273, $139339, $177412, $99636, $150000, $159300, $123427, $108167, $149730, $110834, $105000, $142265, $148886, $98600, $106078, $109470, $160135, $175000, $150000, $105000.   1. Find the mean and the standard deviation for the sample of annual salaries.      2. What is the associated t - score for a 99% confidence level?            3. What is the margin of error for a confidence level of 99%?            4. Find a 99% confidence interval for the mean salary of U.S. governors in 2017. Assume the data is normally distributed.

A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99​% confident that his estimate is in error by no more than two percentage points question mark Complete parts​ (a)  a) Assume that nothing is known about the percentage of computers with new operating systems.

A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 9595​% confident that his estimate is in error by no more than fourfour percentage points question marks? Complete parts​ (a) through​ (c) below. ​a) Assume that nothing is known about the percentage of computers with new operating systems.   nequals=nothing ​(Round up to the nearest​ integer.) ​b) Assume that a recent survey suggests that about 9191​% of computers use a new operating system.   nequals=nothing ​(Round up to the nearest​ integer.) ​c) Does the additional survey information from part​ (b) have much of an effect on the sample size that is​ required?     A. ​Yes, using the additional survey information from part​ (b) dramatically increases the sample size.   B. ​No, using the additional survey information from part​…