Master Statistics and Probability Problems with Expert Help

Give full and correct answer for this questions 1) The standard erroe of the population mean can be estimated by 2)For an experiment comparing two treatment conditions, an independent-measures design would obtain ? score(s) for each subject and a repeated-measures design would obtains ? score(s) for each subject. 3) Which of the following describes an independent-measures research study?

Find the critical points of the following functions on the given intervals. Identify the absolute maximum and absolute minimum values (if they exist). ${\displaystyle f\left(x\right)=x^3-6x^2\text{on}[-1,5]}$

Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?

In each of the following, identify the variables are categorical nominal, or categorical ordinal, or numerical discrete or numerical continuous.
2.Pant size of a randomly selected male as S, M, L, XL, XXL.

The random variable X follows a normal distribution ${\displaystyle ?(20,102)}$.
Find ${\displaystyle F\in dP(?>30)}$,

Identify the appropriate hypothesis test for each of the following research situations using the options: The null hypothesis, The Test Statistics, The Sample Statistic, The Standard Error, and The Alpha Level.
A researcher conducts a cross-sectional developmental study to determine whether there is a significant difference in vocabulary skills between 8-year-old and 10-year-old children. A researcher determines that 8% of the males enrolled in Introductory Psychology have some form of color blindness, compared to only 2% of the females. Is there a significant relationship between color blindness and gender?
A researcher records the daily sugar consumption and the activity level for each of 20 children enrolled in a summer camp program. The researcher would like to determine whether there is a significant relationship between sugar consumption and activity level.
A researcher would like to determine whether a 4-week therapy program produces significant changes in behavior. A group of 25 participants is measured before therapy, at the end of therapy, and again 3 months after therapy.
A researcher would like to determine whether a new program for teaching mathematics is significantly better than the old program. It is suspected that the new program will be very effective for small-group instruction but probably will not work well with large classes. The research study involves comparing four groups of students: a small class taught by the new method, a large class taught by the new method, a small class taught by the old method, and a large class taught by the old method.

Round each z-score to the nearest hundredth.
A data set has a mean of
${\displaystyle x=6.8}$
and a standard deviation of 2.5. Find the z-score.
${\displaystyle x=9.0}$

The owner of a large equipment rental company wants to make a rather quick estimate of the average number of days a piece of ditch-digging equipment is rented out per person per time. The company has records of all rentals, but the amount of time required to conduct an audit of all accounts would be prohibitive. The owner decides to take a random sample of rental invoices. Fourteen different rentals of ditch-diggers are selected randomly from the files, yielding the following data. She wants to use these data to construct a $99\mathrm{\%}$ confidence interval to estimate the average number of days that a ditch-digger is rented and assumes that the number of days per rental is normally distributed in the population. Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 2 decimal places, using conventional rounding rules.
DATA: 3 1 3 2 5 1 2 1 4 2 1 3 1 1

How do you find the number k by looking at the graph of
$y=k+A\sin (Bx+C)?$

A manager at ACME Equipment Sale and Rental wondered how offering a free two-year service warranty on its tractors might influence sales. For the next 500 customers who expressed interest in buying a tractor, 250 were randomly offered a warranty, and the rest did not receive. Ninety-three of those offering a warranty, and fifty-four of those not offering a warranty ended up buying a tractor.
a. Construct a $95\mathrm{\%}$ confidence interval for the difference between the proportions of customers purchasing tractors with and without warranties. Be sure to check all necessary assumptions and interpret the interval.
b. Test the hypothesis that offering the warranty increases the proportion of customers who eventually purchase a tractor. Be sure to check all necessary assumptions, state the null and alternative hypotheses, obtain the p-value, and state your conclusion. Should a manager offer a warranty based on this test?

Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50)
Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50)
What is Jo’s margin of error, rounded to the nearest whole number?

A distribution of values is normal with a mean of 166.1 and a standard deviation of 73.5.
Find the probability that a randomly selected value is between 151.4 and 283.7.
${\displaystyle P\left(151.4<X<283.7\right)=}$ Incorrect
Write your answers as numbers accurate to 4 decimal places.

A population of values has a normal distribution with ${\displaystyle \mu =200}$ and ${\displaystyle \sigma =31.9}$. You intend to draw a random sample of size ${\displaystyle n=11}$.
Find the probability that a single randomly selected value is less than 226.9.
${\displaystyle P\left(X<226.9\right)=}$?
Write your answers as numbers accurate to 4 decimal places.

Find the mean for the data.
The data represents the costs of nine compact refrigerators rated very good or excellent by Consumer Reports on their website.

There is a suspicion that time depends on distance. Make a scatterplot of time against distance, using separate symbols for each hand.

Explain the statement ‘The main priority with sampling distributions is to get across the idea that estimates and other statistics change every time we do a new study’.

Give a full and correct answer for thew given queston In a causal-analysis with group 1 and group 2, (a) we want to compare the population proportion of who will probably be in group 1 with the population proportion of those who will probably be in group 2. (b) we want to compare the population proportion when everyone is put into group 1 with the population proportion when everyone is put into group 2. (c) we want to compare the population proportion of those are in group 1 with the population proportion of those who are group 2. (d) we want to compare the population proportion of who might be in group 1 with the population proportion of those who might be in group 2.

What is the best measure of central tendency for 2 nominal level variables and why?