The article “Statistical Modeling of the Time Course of Tantrum Anger” (Annals o

jack89515lg 2021-11-18 Answered

The article “Statistical Modeling of the Time Course of Tantrum Anger” (Annals of Applied Stats, 2009: 1013–1034) discussed how anger intensity in children’s tantrums could be related to tantrum duration as well as behavioral indicators such as shouting, stamping, and pushing or pulling. The following frequency distribution was given (and also the cor responding histogram):
\(\begin{array}{|c|c|}\hline 0-<2: & 136 \\ \hline 2-<4: & 92 \\ \hline 4-<11: & 71 \\ \hline 11-<20: & 26 \\ \hline 20-<30: & 7 \\ \hline 30-<40: & 3 \\ \hline \end{array}\)
Draw the histogram and then comment on any interesting features.

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Harr1957
Answered 2021-11-19 Author has 18 answers

Step 1
As we can see, the class intervals have unequal lenght, which means that we need to use hisrogram with unequal ckass widths.
Constructing a Histogram for continuous data: Unequal Class Widths:
After determining frequencies and relative frequencies, calculate teh height of each rectangle using the formula
7rectangle height=relative frequency of the classclass width
The resulting rectangle height are usually called densities, and the vertical scale is the density scale. This prescription will also work when class widths are equal.
Step 2
Look at the following table:
IntervalFrequencyClass WidthRelative FrequencyDensity0<2:13620.410.202982<4:9220.270.137314<11:7170.210.0302811<20:2690.080.0086220<30:7100.020.0020930<40:3100.010.00089
In the table, intervals and frequencies were given in the exercise.
Class width is difference between upper bound and lower bound.
Relative Frequency is Frequency dividedd by total (sum) of all frequencies which is 335(136+92+71+26+7+3), for example 136335=0.41
We get the density column by dividing the Relative Frequency with the Class Width (0.4120.20298).
Now we have everything we need to create a histogram.
Step 3
image
Step 4
The histogram is positively skewed (more data points on the left side). It is not clear from the histogram to see which value would be representiative (typical) value. The histogram is unimodal (it has only one peak-hump). We can notice that the most tantrums are between 0 and 11 (around 90%)
There are only small amount of tantrums that last more than 30 minutes (we can not even see them clearly on the histogram).

Not exactly what you’re looking for?
Ask My Question
Mespirst
Answered 2021-11-20 Author has 17 answers
Step 1
nFrequency021362492411711120262030730403
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-02-12
The mechanics at lincoln automotive are reboring a 6-in deepcylinder to fit a new piston. The machine they are usingincreases the cylinder's radius one-thousandth of an inch every 3min. How rapidly is the cylinder volume increasing when thebore(diameter) is 3.800 in
asked 2021-01-13

A radar station, located at the origin of xz plane, as shown in the figure , detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is RA. The position vector RA has a magnitude of 360m and is located at exactly 40 above the horizon. The airplane is tracked for another 123} in the vertical east-west plane for 5.0s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is RB (the magnitude of RB is 880m). The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward.
image
Define the displacement of the airplane while the radar was tracking it: RBA=RBRA. What are the components of RBA
Express RBA in meters as an ordered pair, separating the x and z components with a comma, to two significant figures.

asked 2021-03-06
A 30.0 kg block is resting on a flat horizontal table. On topof this block is resting a 15.0 kg block, to which a horizontal spring is attached. The spring constant of the spring is 325 N/m. The coefficient of kinetic friction between the lower block and the table is 0.600, and the coefficient of static friction between the two blocks is 0.900. A horizontal force is applied to the lower block. This force is increasing in such a way as to keep the blocks moving at a constant speed. At the point where the upper block begins to slip on the lower block,determine (a) the amount by which the spring is compressed and (b) the magnitude of the force F.
asked 2021-03-07

A block of mass m=2.20 kg slides down a 30 degree incline which is 3.60 m high. At the bottom, it strikes a block of mass=7.00 kg which is at rest on a horizontal surface in the picture. If the collision is elastic, and friction can be ignored, determine (a)the speeds of the two blocks after the collision, and (b) how far back up the incline the smaller mass will go.
image

asked 2021-12-11

Let x,wRn
How to show that: (wtx)x=(xxt)w (t denotes transpose)
Attempt at proof:
α=(wtx)x
αt=xt(wtx)t=xt(xtw)
(αt)t=(xt)t(xtw) (treating xt w as a scalar here)
α=x(xtw)=(xxt)w (associativity)

asked 2020-10-18

Find the exact length of the parametric curve 0<t<π
x=coset
y=sinet

asked 2022-01-16
Assume that if the shear stress in steel exceeds about 4.00 108Nm2, the steel ruptures.
a) Determine the shearing force necessary to shear a steel bolt 1.45 cm in diameter.
b) Determine the shearing force necessary to punch a 1.05-cm-diameter hole in a steel plate 0.870 cm thick.

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question