Practice Math Statistics Problems and Master the Concepts

Find each data set's mean, median, mode, and range.
a. 7, 12, 1, 7, 6, 5, 11
b. 85, 105, 95, 90, 115
c. 10, 14, 16, 16, 8, 9, 11, 12, 3
d. 10, 8, 7, 5, 9, 10, 7
e. 45, 50, 40, 35, 75
f. 15, 11, 11, 16, 16, 9

pancha3 2021-02-24

Describe why comparing the factor variance and error variance with an ANOVA analysis will indicate if groups come from the same or different populations.

Maiclubk 2021-02-24

Tuddenham and Snyder obtained the following results for 66 California boys at ages 6 and 18 (the scatter diagram is football-shaped):
average height at $6 \approx 3$ feet 10 inches, $S D \approx 1.7$ inches
average height at $18 \approx 5$ feet 10 inches, $S D \approx 2.5$ inches, $r \approx 0.80$
a) Find the r.m.s. error for the regression prediction of height at 18 from height at 6. b) Find the r.m.s. error for the regression prediction of height at 6 from height at 18.

midtlinjeg 2021-02-24

The chi-square test is used when we have interval data.
A. True
B. False

emancipezN 2021-02-24

A normal population has mean $μ = 20$ and standard deviation $σ = 4$ .
What is the probability that a randomly chosen value will be greater than 25?

EunoR 2021-02-24

A normal distribution with $μ = 73.1$ and $σ = 28.1$ exists for a population of values. You want to select an $n = 131$ -piece random sample at random. Calculate the likelihood that a single value chosen at random is higher than 69.7
$P (X > 69.7) =$ ?

fortdefruitI 2021-02-24

The volume of a sphere is given bby the equation $V = \frac{1}{6 \sqrt{π}} S^{\frac{3}{2}}$ , where S is the surface area of the sphere. Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square meter. Use 3.14 for $π$ .

Chardonnay Felix 2021-02-24

The document Arizona Residential Property Valuation System, published by the Arizona Department of Revenue, describes how county assessors use computerized systems to value single-family residential properties for property tax purposes. a) Obtain a scatterplot for the data. b) Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f). c) Determine and interpret the regression equation for the data. d) Identify potential outliers and influential observations. e) In case a potential outlier is present, remove it and discuss the effect. f) In case a potential influential observation is present, remove it and discuss the effect.

defazajx 2021-02-24

If it was discovered that the average monthly salary earned by a sample of 19 employees of the company was R18 500, with a standard deviation of R1 750, then create a 95% confidence interval for the true average monthly salary earned by all employees of People Plus Pty. Define your response.

nitraiddQ 2021-02-23

Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. Let j: denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence intervals (7-8, 9.6)
(a) Would 2 90%% confidence interval calculated from this same sample have been narrower or wider than the glven interval? Explain your reasoning.
(b) Consider the following statement: There is 9 95% chance that Is between 7.8 and 9.6. Is this statement correct? Why or why not?
(c) Consider the following statement: We can be highly confident that 95% of al bottles ofthis type of cough syrup have an alcohol content that is between 7.8 and 9.6. Is this statement correct? Why or why not?

usagirl007A 2021-02-23

1. A researcher is interested in finding a 98% confidence interval for the mean number of times per day that college students text. The study included 144 students who averaged 44.7 texts per day. The standard deviation was 16.5 texts. a. To compute the confidence interval use a ? z t distribution. b. With 98% confidence the population mean number of texts per day is between and texts. c. If many groups of 144 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population number of texts per day and about percent will not contain the true population mean number of texts per day. 2. You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately $σ = 40.4$ dollars. You would like to be 90% confident that your estimate is within 1.5 dollar(s) of average spending on the birthday parties. How many parents do you have to sample? n = 3. You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately $σ = 57.5$ . You would like to be 95% confident that your estimate is within 0.1 of the true population mean. How large of a sample size is required?

Aneeka Hunt 2021-02-22

Find the slope of the regression.
Find the t-statistic for testing the slope.
Find the p-value for testing the slope.

Armorikam 2021-02-22

Use the technology of your choice to do the following tasks. In the article “Statistical Fallacies in Sports” (Chance, Vol. 19, No. 4, pp. 50-56), S. Berry discussed, among other things, the relation between scores for the first and second rounds of the 2006 Masters golf tournament. You will find those scores on the WeissStats CD. For part (d), predict the secondround score of a golfer who got a 72 on the first round. a) Construct and interpret a scatterplot for the data. b) Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)–(f). c) Determine and interpret the regression equation. d) Make the indicated predictions. e) Compute and interpret the correlation coefficient. f) Identify potential outliers and influential observations.

chillywilly12a 2021-02-22

A random sample of 1200 U.S college students was asked, "What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?" The two-way table below summarizes the data on perceived body image by gender. $\begin{array}{lcc} F e m a l e & M a l e \\ A b o u t r i g h t & 560 & 295 \\ O v e r w e i g h t & 163 & 72 \\ U n d e n v e i g h t & 37 & 73 \end{array}$

nicekikah 2021-02-22

Describe in words the region of $R^{3}$ represented by the equation(s) or inequality.
$x = 5$

aortiH 2021-02-21

How important are birdies (a score of one under par on a given golf hole) in determining the final total score of a woman golfer? From the U.S. Women’s OpenWeb site, we obtained data on number of birdies during a tournament and final score for 63 women golfers. The data are presented on the WeissStats CD. a) Obtain a scatterplot for the data. b) Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f). c) Determine and interpret the regression equation for the data. d) Identify potential outliers and influential observations. e) In case a potential outlier is present, remove it and discuss the effect. f) In case a potential influential observation is present, remove it and discuss the effect.

mattgondek4 2021-02-21

A population of values has a normal distribution with $μ = 221.6$ and $σ = 44.1$ . You intend to draw a random sample of size $n = 42$ .
Find the probability that a single randomly selected value is between 221.6 and 229.1.
$P (221.6 < X < 229.1) =$ ?
Write your answers as numbers accurate to 4 decimal places.

necessaryh 2021-02-21

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 192 had kids. Based on this, plot a $99 %$ confidence interval for the proportion of adult residents who are parents in a given county.
Express your answer in the form of three inequalities. Provide your responses in decimal fractions up to three places $< p <$ Express the same answer using a point estimate and a margin of error. Provide your responses as decimals, to three places.
$p = \pm$

Chaya Galloway 2021-02-21

How can relative frequencies be used yo help us estimate probabilities occuring in sampling distributions?

Jaya Legge 2021-02-21

A group of students at a high school took a students who passed or faidel the exam is bro... following table. Determine whether gender ar... in dependent by filling out the bla
in the se... probabilities to the nearest thousandth.
Passed Failed
Male 9 21
Female 48 2

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