Practice Math Statistics Problems and Master the Concepts

The Titanic struck an iceberg and sank on its first voyage across the Atlantic in 1912. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who survived and who died, by class of travel.
$\begin{array}{cc} F i r s t & S e c o n d & T h i r d \\ Y e s & 197 & 94 & 151 \\ N o & 122 & 167 & 476 \end{array}$
Suppose we randomly select one of the adult passengers who rode on the Titanic. Given that the person selected was in first class, what's the probability that he or she survived?

ankarskogC 2020-12-24

Explain how its

tabita57i 2020-12-24

When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05? (Round your answer up to the nearest whole number.)

mattgondek4 2020-12-24

True or False
1.The goal of descriptive statistics is to simplify, summarize, and organize data.
2.A summary value, usually numerical, that describes a sample is called a parameter.
3.A researcher records the average age for a group of 25 preschool children selected to participate in a research study. The average age is an example of a statistic.
4.The median is the most commonly used measure of central tendency.
5.The mode is the best way to measure central tendency for data from a nominal scale of measurement.
6.A distribution of scores and a mean of 55 and a standard deviation of 4. The variance for this distribution is 16.
7.In a distribution with a mean of M = 36 and a standard deviation of SD = 8, a score of 40 would be considered an extreme value.
8.In a distribution with a mean of M = 76 and a standard deviation of SD = 7, a score of 91 would be considered an extreme value.
9.A negative correlation means that as the X values decrease, the Y values also tend to decrease.
10.The goal of a hypothesis test is to demonstrate that the patterns observed in the sample data represent real patterns in the population and are not simply due to chance or sampling error.

snowlovelydayM 2020-12-22

Exploring the role of sample size:
a. Construct 1,000 confidence intervals with $n = 10, p = 0.3$ . What proportion of the $95 %$ confidence intervals included the population proportion, 0.3?
b. Construct 1,000 confidence intervals with $n = 40, p = 0.3$ . What proportion of the $95 %$ confidence intervals included the population proportion, 0.3?
c. Construct 1,000 confidence intervals with $n = 100, p = 0.3$ . What proportion $95 %$ confidence intervals include the proportion of the population, 0.3?

avissidep 2020-12-22

A population of values has a normal distribution with $μ = 77$ and $σ = 32.2$ . You intend to draw a random sample of size $n = 15$
Find the probability that a sample of size $n = 15$ is randomly selected with a mean between 59.5 and 98.6. $P (59.5 < \overset{―}{X} < 98.6) =$ ?
Write your answers as numbers accurate to 4 decimal places.

kuCAu 2020-12-22

Solve given Inferences involving two populations
A study in Pediatric Emergency Care compared the injury severity between younger and older children.
One measure reported was the Injury Severity Score(ISS).
The standard deviation of ISS scores for 37 children 8 years or younger was 23.9,v and the standard deviation for 36 children older than 8 years was 6.8. Assume that ISS scores are normally distributed for both age groups.
At the 0.01 level of significance, is there sufficient
Feason to conclude that the standard deviation of Iss
Scores for younger children is larger than the standard deviation of Iss scores for older children?

CMIIh 2020-12-21

A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses.
$\begin{array}{cccc} Female & Male & Total \\ Almost no chance & 96 & 98 & 194 \\ Some chance but probably not & 426 & 286 & 712 \\ A 50-50 chance & 696 & 720 & 1416 \\ A good chance & 663 & 758 & 1421 \\ Almost certain & 486 & 597 & 1083 \\ Total & 2367 & 2459 & 4826 \end{array}$
Choose a survey respondent at random. Define events G: a good chance, M: male, and N: almost no chance. Find $P (C ∣ M)$ . Interpret this value in context.

Albarellak 2020-12-17

There were 855 major league baseball players in 2012 and their mean salary was $m = 3.44$ million dollars with standard deviation $s = 4.70$ million dollars.If we take random samples of size $n = 30$ players and calculate the mean salary, in millions of dollars, of each sample, describe the shape, center, and standard error of the distribution of sample means.

alesterp 2020-12-16

A catalog sales company promises to deliver orders placed on the Internet within three business days.
Follow-up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of all orders that arrive on time is 88
a) What is the meaning of this? Are these findings accurate? Explain.
b) 95% of all random samples of customers will show that 88% of orders arrive on time.
c) 95% of all random samples of customers will show that 82% to 94% of orders arrive on time.
d) We are 95% sure that between 82% and 94% of the orders placed by the sampled customers arrived on time.
e) On 95% of the days, between 82% and 94% of the orders will arrive on time.

Elleanor Mckenzie 2020-12-15

In each of the following, identify the variables are categorical nominal, or categorical ordinal, or numerical discrete or numerical continuous.
1.Political affiliation of a voter

Cheyanne Leigh 2020-12-15

Whether the provided P-values are statistically significant or not.

Clifland 2020-12-15

The confidence interval for the mean population is $2.5121 < μ < 2.6879 .$

Tammy Todd 2020-12-15

You randomly select and weigh 27 samples of an allergy medication. The sample standard deviation is 1.22 milligrams. Assuming the weights are normally distributed, construct $90 %$ confidence intervals for the population variance and standard deviation. Please interpret your result.

Ayaana Buck 2020-12-15

The school cafeteria collects data on students’ juice box selections. What type of data are these?
1.categorical, nominal data
2.numerical, discrete data
3.categorical, ordinal data
4.numerical, continuous data

Jerold 2020-12-15

Data that can be sorted into distinct groups is called quantitative
1. True
2.False

ankarskogC 2020-12-15

A population of values has a normal distribution with $μ = 26.8$ and $σ = 33.8$ . You intend to draw a random sample of size $n = 89$ .
Find the probability that a sample of size $n = 89$ is randomly selected with a mean between 17.1 and 25.
$P (17.1 < M < 25) =$ ?
Write your answers as numbers accurate to 4 decimal places.

Tazmin Horton 2020-12-15

You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 58 dates, the mean record high daily temperature in a certain city has a mean of ${83.43}^{\circ} F$ . Assume the population standard deviation is ${14.02}^{\circ} F$ . $90 % =$ $95 % =$ Which interval is wider?

EunoR 2020-12-15

Interpret your conclusion in the context of the application.

opatovaL 2020-12-14

Identify which of the following represent quantitative data?
A) Mass of a sample
B) Odor of a sample
C) Molecules in a mole
D) Volume of a gas
E) Texture if a surface

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