Question 1

In testing the thickness of a protective coating sprayed onto metal plates, there is a $88 \%$ probability that a single plate selected at random will pass inspection. What is the probability that of 15 plates sampled, 12 will pass inspection?

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The answer of In testing the thickness of a protective...

Question 2

If you flip a coin and roll a die, what is the probability of obtaining a heads on the coin and a three or four on the die?

Accepted Answer

The answer of If you flip a coin and roll...

Question 3

Find the probability that a card drawn from a deck will be either a four or a diamond.

Accepted Answer

The answer of Find the probability that a card drawn...

Question 4

A random survey of 80 students found they spent a mean of 21 hours in class per week with standard deviation of 3 hours per week. Find the $95 \%$ confidence interval for the population mean.

Accepted Answer

The answer of A random survey of 80 students found...

Question 5

A random sample of 400 students found that $70 \%$ are currently enrolled in a mathematics course. Find the $95 \%$ confidence interval for the population proportion.

Accepted Answer

The answer of A random sample of 400 students found...

Question 6

Find the area under the normal curve between the mean and 1.7 standard deviations. Use a table of area under the curve within $z$ standard deviations of the mean.

Accepted Answer

The answer of Find the area under the normal curve...

Question 7

A particular beverage company states that the volumes of the bottles they produce are normally distributed with a mean of $2000 \mathrm{~mL}$ and a standard deviation of $10 \mathrm{~mL}$. What is the probability that a randomly sampled bottle has a volume more than $2015 \mathrm{~mL}$.

Accepted Answer

The answer of A particular beverage company states that the...

Question 8

Use the information below for questions.
The average monthly rainfall (cm) in several cities in a certain province are:
 
$\begin{array}{lllll} 11.3 && 29.6 && 16.3 && 31.4 && 29.2 && 14.5\ 16.9 && 25.8 && 21.3 && 32.7 && 15.3 && 13.5\ 25.2 && 22.5 && 18.6 && 14.3 && 26.9 && 22.9 \end{array}$
-Draw a histogram, showing both absolute and relative frequencies.

Accepted Answer

The answer of Use the information below for questions.
The average...

Question 9

The temperature of a metal casting set out to cool was recorded over time and the following data was found:
  Find the correlation coefficient and the least squares line.

Accepted Answer

The answer of The temperature of a metal casting set...

Question 10

Determine the quartiles and give the quartile range of the data: $211,226,228,240,256,292,310,376$, $384,402,421$

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The answer of Determine the quartiles and give the quartile...

Question 11

The weight of a tray of $11 \mathrm{~mm}$ hex bolts and the number of bolts on the tray will have what correlation coefficient?

Accepted Answer

The answer of The weight of a tray of \(11...

Question 12

Consider the below set of lengths for questions:
 
$\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$
-Find the quartiles and find the quartile range of the lengths.

Accepted Answer

The answer of Consider the below set of lengths for...

Question 13

Use the information below for questions.
The average monthly rainfall (cm) in several cities in a certain province are:
 
$\begin{array}{lllll} 11.3 && 29.6 && 16.3 && 31.4 && 29.2 && 14.5\ 16.9 && 25.8 && 21.3 && 32.7 && 15.3 && 13.5\ 25.2 && 22.5 && 18.6 && 14.3 && 26.9 && 22.9 \end{array}$
-Make a cumulative frequency distribution, showing (a) absolute frequency and (b) relative frequency.

Accepted Answer

The answer of Use the information below for questions.
The average...

Question 14

Consider the below set of lengths for questions:
 
$\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$
-Find the median of the lengths.

Accepted Answer

The answer of Consider the below set of lengths for...

Question 15

Consider the below set of lengths for questions:
 
$\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$
-Find the sample variance and standard deviation of the lengths.

Accepted Answer

The answer of Consider the below set of lengths for...

Question 16

The proportion defective for samples of 200 calculators per day for 20 days as follows:  Find the mean proportion defective and the values of the upper and lower control limits.

Accepted Answer

The answer of The proportion defective for samples of 200...

Question 17

The distribution of grades on a certain test has a mean of 85.5 with a standard deviation of 11.2. There are 400 tests. Assuming that the grades are normally distributed, predict the number of students scoring between 75 and 95 . Use a table of area under the curve within $z$ standard deviations of the mean.

Accepted Answer

The answer of The distribution of grades on a certain...

Question 18

What is the arithmetic mean of the following sample of weights of Lake Ontario in kilograms.
$1.7,2.1,1.3,0.7,1.7,1.5,1.3,2.0,1.9$

Accepted Answer

The answer of What is the arithmetic mean of the...

Question 19

A single sample of size 64 drawn from a population is found to have a mean of 135 and a standard deviation of 8.3. Estimate the population mean with a confidence level of $68 \%$.

Accepted Answer

The answer of A single sample of size 64 drawn...

Question 20

Consider the below set of lengths for questions:
 
$\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$
-Find the mean of the lengths.

Accepted Answer

The answer of Consider the below set of lengths for...

Exam 26: Introduction to Statistics and Probability

In testing the thickness of a protective coating sprayed onto metal plates, there is a $88 \%$ probability that a single plate selected at random will pass inspection. What is the probability that of 15 plates sampled, 12 will pass inspection?

If you flip a coin and roll a die, what is the probability of obtaining a heads on the coin and a three or four on the die?

Find the probability that a card drawn from a deck will be either a four or a diamond.

A random survey of 80 students found they spent a mean of 21 hours in class per week with standard deviation of 3 hours per week. Find the $95 \%$ confidence interval for the population mean.

A random sample of 400 students found that $70 \%$ are currently enrolled in a mathematics course. Find the $95 \%$ confidence interval for the population proportion.

Find the area under the normal curve between the mean and 1.7 standard deviations. Use a table of area under the curve within $z$ standard deviations of the mean.

A particular beverage company states that the volumes of the bottles they produce are normally distributed with a mean of $2000 \mathrm{~mL}$ and a standard deviation of $10 \mathrm{~mL}$ . What is the probability that a randomly sampled bottle has a volume more than $2015 \mathrm{~mL}$ .

The temperature of a metal casting set out to cool was recorded over time and the following data was found: Find the correlation coefficient and the least squares line.

Determine the quartiles and give the quartile range of the data: $211,226,228,240,256,292,310,376$ , $384,402,421$

The weight of a tray of $11 \mathrm{~mm}$ hex bolts and the number of bolts on the tray will have what correlation coefficient?

Consider the below set of lengths for questions: $\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$ -Find the quartiles and find the quartile range of the lengths.

Consider the below set of lengths for questions: $\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$ -Find the median of the lengths.

Consider the below set of lengths for questions: $\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$ -Find the sample variance and standard deviation of the lengths.

The proportion defective for samples of 200 calculators per day for 20 days as follows: Find the mean proportion defective and the values of the upper and lower control limits.

What is the arithmetic mean of the following sample of weights of Lake Ontario in kilograms. $1.7,2.1,1.3,0.7,1.7,1.5,1.3,2.0,1.9$

A single sample of size 64 drawn from a population is found to have a mean of 135 and a standard deviation of 8.3. Estimate the population mean with a confidence level of $68 \%$ .

Consider the below set of lengths for questions: $\begin{array}{l} 123 && 422 && 566 && 329 && 247 && 296 && 245 && 522\\ 362 && 593 && 229 && 475 && 357 && 227 && 489 && 326 \end{array}$ -Find the mean of the lengths.

Exam 26: Introduction to Statistics and Probability

In testing the thickness of a protective coating sprayed onto metal plates, there is a 88%88 \%88% probability that a single plate selected at random will pass inspection. What is the probability that of 15 plates sampled, 12 will pass inspection?

If you flip a coin and roll a die, what is the probability of obtaining a heads on the coin and a three or four on the die?

Find the probability that a card drawn from a deck will be either a four or a diamond.

A random survey of 80 students found they spent a mean of 21 hours in class per week with standard deviation of 3 hours per week. Find the 95%95 \%95% confidence interval for the population mean.

A random sample of 400 students found that 70%70 \%70% are currently enrolled in a mathematics course. Find the 95%95 \%95% confidence interval for the population proportion.

Find the area under the normal curve between the mean and 1.7 standard deviations. Use a table of area under the curve within zzz standard deviations of the mean.

The temperature of a metal casting set out to cool was recorded over time and the following data was found: Find the correlation coefficient and the least squares line.

Determine the quartiles and give the quartile range of the data: 211,226,228,240,256,292,310,376211,226,228,240,256,292,310,376211,226,228,240,256,292,310,376 , 384,402,421384,402,421384,402,421

The weight of a tray of 11 mm11 \mathrm{~mm}11 mm hex bolts and the number of bolts on the tray will have what correlation coefficient?

The proportion defective for samples of 200 calculators per day for 20 days as follows: Find the mean proportion defective and the values of the upper and lower control limits.

What is the arithmetic mean of the following sample of weights of Lake Ontario in kilograms. 1.7,2.1,1.3,0.7,1.7,1.5,1.3,2.0,1.91.7,2.1,1.3,0.7,1.7,1.5,1.3,2.0,1.91.7,2.1,1.3,0.7,1.7,1.5,1.3,2.0,1.9

A single sample of size 64 drawn from a population is found to have a mean of 135 and a standard deviation of 8.3. Estimate the population mean with a confidence level of 68%68 \%68% .

In testing the thickness of a protective coating sprayed onto metal plates, there is a $88 \%$ probability that a single plate selected at random will pass inspection. What is the probability that of 15 plates sampled, 12 will pass inspection?

A random survey of 80 students found they spent a mean of 21 hours in class per week with standard deviation of 3 hours per week. Find the $95 \%$ confidence interval for the population mean.

A random sample of 400 students found that $70 \%$ are currently enrolled in a mathematics course. Find the $95 \%$ confidence interval for the population proportion.

Find the area under the normal curve between the mean and 1.7 standard deviations. Use a table of area under the curve within $z$ standard deviations of the mean.

Determine the quartiles and give the quartile range of the data: $211,226,228,240,256,292,310,376$ , $384,402,421$

The weight of a tray of $11 \mathrm{~mm}$ hex bolts and the number of bolts on the tray will have what correlation coefficient?

What is the arithmetic mean of the following sample of weights of Lake Ontario in kilograms. $1.7,2.1,1.3,0.7,1.7,1.5,1.3,2.0,1.9$

A single sample of size 64 drawn from a population is found to have a mean of 135 and a standard deviation of 8.3. Estimate the population mean with a confidence level of $68 \%$ .