Practice Math Statistics Problems and Master the Concepts

A researcher wanted to test whether there is a relationship between preferred sweet (Oreo cookies, Mars bars, or Twinkies) and age group (children, adolescents, or young adults). To test that, subjects from the three age groups were asked which of the three sweets they preferred. Which statistical test should be used to analyze the data?
1. chi square test of independece
2. chi square test for goodness of fit
3. one sample t test
4. one way anova test

Shyla Singleton 2022-03-18

Chi-square value can never be negative because
a. The observed frequencies cannot be negative
b. Difference between observed & expected frequencies is squared
c. The sum of the difference is computed
d. Observed frequency is always greater than expected frequency

chechemua62l 2022-03-18

Chi-square test of independence is usually used to determine:
a. whether one nominal/ordinal variable is mutually exclusive with the other numerical variable
b. whether a single nominal/ordinal indpendent variable predicts a single numerical dependent variable
c. whether a single numerical independent variable predicts a single numerical dependent variable
d. whether one nominal/ordinal variable is contingent upon the other nominal/ordinal variable

Caroline Carey 2022-03-18

Assuming you are summing 10 poisson variables, and the sum of their results is 60, how would you approximate a $95 %$ CI for theta?

Njifor Raymond2022-03-18

the probability that a mash stick will break on been stroked is 0.4.what is the probability that out of 50 sticks striken
a) non will break
b)more than one stick will break

Dawson Riggs 2022-03-17

Assume that you are performing a large number ofsignificance tests. Let n be the number of thesetests.
How large would n need to be for you toexpect about one P-value to be 0.0001 or smaller?
Give your answer as a whole number

Juliet Jackson 2022-03-17

A study of alcoholism wanted to investigate whether drinking habits differ between alcoholic men and women. A random sample of 34 men and 18 women had to answer the question of what type of alcohol they mainly consume. Results:
$\begin{array}{cc} Gender & beer & wine \\ men & 15 & 19 \\ women & 4 & 14 \end{array}$
a) Which test would be appropriate to examine whether there is a difference in behavior between men and women?
b) What statistical property examines such a test?
c) Does the data indicate that there is a difference? If so, which one?

Abbie Edwards 2022-03-17

A seafood festival organizer is interested in whether there is a relationship between the number of ingredients in the clam chowders that are entered in the festival’s clam chowder contest and the ratings given to the chowders by the judges. The organizer requires each of the twelve restaurants in the competition to list all of its chowder's ingredients and requires each judge who tastes the clam chowders to rate each chowder from one through ten on a note card. The organizer then randomly selects twenty-five note cards. Assuming that all conditions for inference are met, which of the following significance tests should be used to investigate whether having more ingredients in the chowders is associated with a reduction in the ratings given to the chowders by the judges?
a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference

izolovanuyj5 2022-03-17

A simple random sample of 1,000 United States adults was collected to investigate whether gender and being a coffee drinker are independent. The results are summarized in the table with the expected counts shown in parentheses.
$\begin{matrix} Coffe Drinker? \\ Gender & \begin{array}{ccc} Yes & No & Total \\ Male & 191 (148.5) & 299 (341.5) & 490 \\ Female & 112 (154.5) & 398 (355.5) & 510 \\ Total & 303 & 697 & 1, 000 \end{array} \end{matrix}$
Which statement is true about whether the conditions for the chi-square test for independence have been met?
a. All necessary conditions are satisfied to apply a chi-square test for independence between gender and being a coffee drinker.
b. The data is not the result of two independent random samples; therefore, the conditions for applying the chi-square test for independence between gender and being a coffee drinker are not met.
c. Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for independence between gender and being a coffee drinker.
d. Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test for independence between gender and being a coffee drinker.
e. The total sample size is not at least 10 percent of the population of United States adults; therefore, the conditions for applying the chi-square test for independence between gender and being a coffee drinker are not met.

Avery Velasquez 2022-03-17

A simple random sample of pulse rates of 25 women from a normally distributed population results in a standard deviation of 12.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pullse rates of women have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.
a. Identify the null and alternative hypotheses. Choose the correct answer below.
A. $H_{0} : σ \neq 10$ beats per minute, $H_{1} : σ = 10$ beats per minute
B. $H_{0} : σ = 10$ beats per minute, $H_{1} : σ \neq 10$ beats per minuteSNKC. $H_{0} : σ = 10$ beats per minute, $H_{1} : σ < 10$ beats per minute
D. $H_{0} : σ \geq 10$ beats per minute, $H_{1} : σ < 10$ beats per minute
b. Compute the test statistic.
$χ^{2} = □$
(Round to three decimal places as needed.)
c. Find the P-value of the test statistic.
The P-value of the test statistic is $□$
(Round to three decimal places as needed.)
d. State the conclusion.
'Reject'/'Fail to reject' $H_{0}$ 'is'/'is not' sufficiert evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute.

riosonicocyo 2022-03-17

A researcher wants to see if four different strategies to combat work fatigue are independent of the gender of the person using them. She draws a sample of 200 office workers, half of them women and half men, and obtains data on which strategy the participants use to combat fatigue at work. The four strategies are: Consumption of caffeine, taking a short “power” nap, exercise, and consumption of sugar. Is the preference for a particular method of combating drowsiness independent of gender?
what statistical test should be used and why?

gnjurcemnpw 2022-03-17

A researcher surveys a random sample of 750 college students about their political views. The researcher’s survey contains questions about the following variables:
1. Age
2. Political Affiliation (Democrat / Republican / Other)
3. Annual income
4. Number of hours worked per week
5. Residential status (on-campus / off-campus)
The researcher will conduct a chi-square test of independence. Which pair of variables can the researcher use?
Group of answer choices
age and annual income
annual income and number of hours worked per week
residential status and number of hours worked per week
political affiliation and residential status

Gavyn Trujillo 2022-03-17

What is the harmonic mean?

Aiden Delacruz 2022-03-17

What is the median, mode, mean, and range of 17, 19, 22, 22, 27, 31, 35, 37, 45, 98?

Adrianna Mcclain 2022-03-17

What is the mode of {2,5,6,3,2,8,9,10,2,3,1,17,20,2}?

nevinijifg8 2022-03-17

Chi-square is used to test differences between

Teagan Horton 2022-03-17

Can you provide an example of a chi-square test?

Caroline Carey 2022-03-17

Can a continuous random variable have a median?

Alisa Duarte 2022-03-17

Calculate confidence interval when only given alpha?
Is there a formula to properly calculate the confidence interval when you're only given alpha and sample data?

Damian Hanna 2022-03-16

Are measures of central tendency invariant to translation?

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