Akhil Choudhary

Numerade Educator

Biography

Hello, Myself Nidhi Singhi, I am a 2nd year student at IIT Delhi, I had secured 94.8% in class 12th (CBSE) with 95/100 marks in mathematics, and 10 CGPA in class 10th(CBSE) with grade A in Mathematics. I would be so pleased if you can provide me an opportunity to join numerade.

Education

Akhil has not yet added their education credentials.

Educator Statistics

Numerade tutor for 5 years
170 Students Helped

Topics Covered

Functions
Discover the Basics of Trigonometry: Your Introduction to Triangles
Maximizing Accuracy with Effective Sampling and Data Analysis
Unlocking Insights with Descriptive Statistics: A Comprehensive Guide
Unlocking the Power of Confidence Intervals: A Comprehensive Guide
The Normal Distribution
Exploring Probability Topics: From Basics to Advanced Strategies
Testing Differences: Means, Proportions & Variances

Akhil's Textbook Answer Videos

00:36
Fundamentals of Statistics

Explain why using the smaller of $n_{1}-1$ or $n_{2}-1$ degrees of freedom to determine the critical $t$ instead of Formula (2) is conservative.

Chapter 11: Inferences on Two Samples
Section 2: Inference about Two Means: Independent Samples
Akhil Choudhary
01:32
Fundamentals of Statistics

Assume that the populations are normally distributed.
(a) Test whether $\mu_{1} \neq \mu_{2}$ at the $\alpha=0.05$ level of significance for the given sample data.
(b) Construct a $95 \%$ confidence interval about $\mu_{1}-\mu_{2}$

Chapter 11: Inferences on Two Samples
Section 2: Inference about Two Means: Independent Samples
Akhil Choudhary
01:32
Fundamentals of Statistics

Assume that the populations are normally distributed.
(a) Test whether $\mu_{1} \neq \mu_{2}$ at the $\alpha=0.05$ level of significance for the given sample data.
(b) Construct a $95 \%$ confidence interval about $\mu_{1}-\mu_{2}$

Chapter 11: Inferences on Two Samples
Section 2: Inference about Two Means: Independent Samples
Akhil Choudhary
01:30
Fundamentals of Statistics

The confidence intervals in the back of the text were computed using the smaller of $n_{1}-1$ or $n_{2}-1$ degrees of freedom. These intervals will be wider than those obtained using technology.
(a) Test whether $\mu_{1}>\mu_{2}$ at the $\alpha=0.1$ level of significance for the given sample data.
(b) Construct a $90 \%$ confidence interval about $\mu_{1}-\mu_{2}.$

Chapter 11: Inferences on Two Samples
Section 2: Inference about Two Means: Independent Samples
Akhil Choudhary
01:17
Fundamentals of Statistics

The confidence intervals in the back of the text were computed using the smaller of $n_{1}-1$ or $n_{2}-1$ degrees of freedom. These intervals will be wider than those obtained using technology.
(a) Test whether $\mu_{1}<\mu_{2}$ at the $\alpha=0.02$ level of significance for the given sample data.
(b) Construct a $90 \%$ confidence interval about $\mu_{1}-\mu_{2}.$

Chapter 11: Inferences on Two Samples
Section 2: Inference about Two Means: Independent Samples
Akhil Choudhary
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Akhil's Quick Ask Videos

03:37
Physics 101 Mechanics

Engineers designed two steel pipes to join by placing the smaller pipe into the larger one. To do this, the larger pipe (I.D. = inner diameter = 2.495 inches) must be heated in a large furnace and the smaller pipe (O.D. = Outer Diameter = 2.504 inches) must be cooled in liquid nitrogen. Steel pipe thermal expansion or contraction must not exceed 0.005 inches (5 thousandths of an inch in diameter) to ensure structural integrity of the steel. The thermal expansion coefficient, α, for steel is 12.000 x 10^-6 K^-1.

What is the circumference of each pipe in inches (Ï€ = 3.14159)?
What is the maximum expansion circumference for the larger pipe in inches?
What is the minimum contraction circumference for the smaller pipe in inches?
What change in temperature in Kelvin is needed to expand the larger pipe to the correct diameter?
What change in temperature in Kelvin is needed to contract the smaller pipe to the correct diameter?

Akhil Choudhary
02:49
Physics 101 Mechanics

3. NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's mean radius. The mass of the satellite is 480 kg. (Assume the Earth's mass is 5.97 x 10^24 kg and its radius is 6.38 x 10^6 m.)

(a) How long does it take the satellite to go around the Earth once?
(b) What is the orbital speed of the satellite?
(c) How much gravitational force does the satellite experience?
4. Determine the minimum amount of energy needed to move a satellite from its orbit around the Earth to an infinite distance from the Earth. The mass of the satellite is 8.3 x 10^3 kg and its orbital radius is 8.00 x 10^6 m. Take the mass of the Earth to be 5.97 x 10^24 kg and use 6.37 x 10^6 m for the radius of the Earth.

Akhil Choudhary
02:19
Intro Stats / AP Statistics

DESCRIBING DATA: FREQUENCY TABLES, DISTRIBUTIONS, AND GRAPHIC PRESENTATIONS (10 POINTS)
Please answer the following questions and show graphs if needed.
The hourly wages of the 15 employees of Matt's Tire and Auto Repair are organized into the following table.

Hourly Wages
Number of Employees
$8 up to $10 3
$10 up to $12 7
$12 up to $14 4
$14 up to $16 1

(a) What is the table called?
(b) Develop a cumulative frequency distribution and portray the distribution in a cumulative frequency polygon.
(c) On the basis of the cumulative frequency polygon, how many employees earn less than $11 per hour?

Akhil Choudhary
02:34
Intro Stats / AP Statistics

The Global Business Travel Association reported the domestic
airfare for business travel for the current year and the previous
year. Below is a sample of 12 flights with their domestic airfares
shown for both years. Do not round intermediate calculations.
Current Year
Previous Year
Current Year
Previous Year
615
489
474
591
399
294
243
309
342
336
543
573
393
288
246
234
429
258
624
354
513
408
435
285
a. Formulate the hypotheses and test for a
significant increase in the mean domestic airfare for business
travel for the one-year period.
- Select your answer -Item 1
- Select your answer -Item 2
What is the p-value?
t-value
(to 3 decimals)
Degrees of freedom
p-value is - Select your answer -lower than
0.005between 0.005 and 0.01between 0.01 and 0.025between 0.025 and
0.05between 0.05 and 0.10between 0.10 and 0.20greater than 0.20Item
5
Using a 0.05 level of significance, what is your
conclusion?
We - Select your answer -can concludecannot concludeItem
6 that there has been a significance increase in business
travel airfares over the one-year period.
b. What is the sample mean domestic
airfare for business travel for each year?
Current Year
$ (to 2 decimals)
Previous Year
$ (to 2 decimals)
c. What is the percentage change in the
airfare for the one-year period?
% (to 2 decimals)

Akhil Choudhary
02:29
Intro Stats / AP Statistics

A recent 10-year study conducted by a research team at the Great
Falls Medical School was conducted to assess how age, systolic
blood pressure, and smoking relate to the risk of strokes. Assume
that the following data are from a portion of this study. Risk is
interpreted as the probability (times 100) that the patient will
have a stroke over the next 10-year period. For the smoking
variable, define a dummy variable with 1 indicating a smoker and 0
indicating a nonsmoker.
Risk
Age
Systolic
Blood
Pressure
Smoker
12
57
152
No
24
67
163
No
13
58
155
No
56
86
177
Yes
28
59
196
No
51
76
189
Yes
18
56
155
Yes
31
78
120
No
37
80
135
Yes
15
78
98
No
22
71
152
No
36
70
173
Yes
15
67
135
Yes
48
77
209
Yes
15
60
199
No
36
82
119
Yes
8
66
166
No
34
80
125
Yes
3
62
117
No
37
59
207
Yes
A) Develop an estimated regression equation that relates risk of
a stroke to the person's age, blood pressure, and whether the
person is a smoker. (Let x1 represent
age, x2 represent blood
pressure, x3 represent whether the
person is a smoker, and y represent risk. Round
your numerical values to four decimal places.)
D. An insurance company will only sell its Select policy to
people for whom the probability of a stroke in the next 10 years is
less than 0.01. If a smoker with a systolic blood pressure
of 220 applies for a Select policy, under what condition
will the company sell him the policy if it adheres to this
standard? (Round your answer to two decimal places.)
This person must be no more than______________________ old
to qualify for the Select policy.

Akhil Choudhary
04:31
Intro Stats / AP Statistics

The developer of a new filter for filter-tipped cigarettes claims that it leaves less nicotine in the smoke than does the current filter. Because cigarette brands differ in a number of ways, he tests each filter on one cigarette of each of nine brands and records the difference in nicotine content. His results are given in the table below.

Brand | Old Filter nicotine, mg | New Filter nicotine, mg
--------|------------------------|------------------------
A | 0.7 | 0.6
B | 0.8 | 0.6
C | 0.8 | 0.7
D | 0.9 | 0.8
E | 0.9 | 0.7
F | 1.0 | 1.0
G | 1.2 | 0.8
H | 1.2 | 0.9
J | 1.8 | 1.5

Akhil Choudhary
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