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Chapter 7: Q. 6 (page 454)

Bearings A production run of ball bearings is supposed to have a mean diameter of 2.5000centimeters (cm). An inspector chooses 100bearings at random from the run. These bearings have mean diameter 2.5009cm.

identify the population, the parameter, the sample, and the statistic.

Short Answer

Expert verified

The sample is of 100bearings and population mean diameter becomes the associated parameter. The parameter is population mean diameter μand statistic is sample mean diameter x=2.5009cm.

Step by step solution

01

Given information

We need to identify the population, the parameter, the sample, and the statistic.

02

Simplify

Individuals that seek to collect information are present in the population.
A sample is a portion of the population from whom data was gathered.
It is noted that the sample consists of 100bearings randomly chosen from the run, whereas the population must consist of all bearings in the run.
A statistic is a descriptive measure for a sample, whereas a parameter is a descriptive measure for a population.
The mean diameter of 2.5009cmis calculated based on 100bearings in the sample, hence 2.5009cmreflects the sample mean diameter, which means 2.5009cmis a statistic.
The population mean diameter becomes the associated parameter.

Statistic :

x¯=sample mean diameter =2.5009cm
Parameter : μ=population mean diameter

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Most popular questions from this chapter

At a particular college, 78%of all students are receiving some kind of financial aid. The school newspaper selects a random sample of 100students and 72%of the respondents say they are receiving some sort of financial aid. Which of the following is true?

  1. 78%is a population and 72%is a sample.
  2. 72%is a population and 78%is a sample.
  3. 78%is a parameter and 72%is a statistic.
  4. 72%is a parameter and 78%is a statistic.
  5. 72%is a parameter and 100is a statistic.

Social scientists are interested in the association between high school graduation rate (HSGR, measured as a percent) and the percent of U.S. families living in poverty (POV). Data were collected from all 50 states and the District of Columbia, and a regression analysis was conducted.

The resulting least-squares regression line is given by POV∧=59.2-0.620(HSGR) POV^=59.2-0.620(HSGR) with r2=0.802r2=0.802. Based on the information, which of the following is the best interpretation for the slope of the least-squares regression line?

a. For each 1% increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.896 .

b. For each 1 % increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.802.

c. For each 1 % increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.620.

d. For each 1 % increase in the percent of families living in poverty, the graduation rate is predicted to decrease by approximately 0.802.

e. For each 1 % increase in the percent of families living in poverty, the graduation rate is predicted to decrease by approximately 0.620.

Suppose that you are a student aide in the library and agree to be paid according to the "random pay" system. Each week, the librarian flips a coin. If the coin comes up heads, your pay for the week is 80\(. If it comes up tails, your pay for the week is 40\). You work for the library for 100 weeks. Suppose we choose an SRS of 2 weeks and calculate your average earnings x-x¯. The shape of the sampling distribution of will be

a. Normal.

b. approximately Normal.

c. right-skewed.

d. left-skewed.

e. symmetric but not Normal.

Warm turkey Tom is cooking a large turkey breast for a holiday meal. He wants to be sure that the turkey is safe to eat, which requires a minimum internal temperature of 165°FTom uses a thermometer to measure the temperature of the turkey meat at four randomly chosen points. The minimum reading is 170°F

identify the population, the parameter, the sample, and the statistic.

The math department at a small school has 5teachers. The ages of these teachers are 23,34,37,42,58. Suppose you select a random sample of 4teachers and calculate the sample minimum age. Which of the following shows the sampling distribution of the sample minimum age?

a.

b.

c.

d.

e. None of these
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