🟪7.2 Quizizz Lesson: “Sampling Distrb.: Center & Variability

Which of the following best describes a sampling distribution?

The distribution of...

A production run of ball bearings is supposed to have a mean diameter of 2.5000 centimeters. An inspector randomly selects 100 bearings from the container and calculates a mean diameter of 2.5009 centimeters.

Identify the population​ ​ (a)   , the parameter​ ​ (b)   , the sample​ (c)   , and the statistic​ (d)   for this scenario​ .

Do you think the school is doing enough to provide student parking? Of the 136 people who responded, 79% said "No". The number 79% is a: (a)  

"Do you favor a law banning lawn mowing after 8 pm?" If 35% of all citizens favor the law, and we take a very large number of SRSs of an increased size n = 600 rather than n = 150 from this population, how would it affect the estimate?

The histogram shown shows a sampling distribution intended to estimate the population parameter shown by the arrow.

Does the sampling distribution shown illustrate high or low bias? High or low variability?

The histogram shown shows a sampling distribution intended to estimate the population parameter shown by the arrow.

Does the sampling distribution shown illustrate high or low bias? High or low variability?

A polling organization plans to ask a random sample of likely voters who they will vote for in an upcoming election. The researchers will report the sample proportion ˆpp^ that favors the incumbent as an estimate of the population proportion p that favors the incumbent. The sample proportion ˆpp^ is an unbiased estimator of the population proportion p no matter what size random sample the polling organization chooses. Explain to someone who knows nothing about statistics why a large random sample will give more trustworthy results than a small random sample.

A larger random sample will​ ​ (a)   and therefore will produce​ (b)   .