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DL-Tutorial#1 (Stats Refresher )

Total questions: 12

Worksheet time: 56mins

Name
Class
Date
1.

Bank of Guna is trying to determine the number of tellers available during the lunch rush on Fridays. The bank has collected data on the number of people who entered the bank during the last 3 months on Friday from 11:00 A.M. to 1:00 P.M. Use the data (separated by comma) below to answer the following questions.

 242, 275, 289, 306, 342, 385, 279, 245, 269, 305, 294, 328

Find point estimates of the mean?

a)

296.583 people

b)

269.654 people

c)

345.545 people

d)

302.312 people

2.

For the same data as above: 242, 275, 289, 306, 342, 385, 279, 245, 269, 305, 294, 328

Find standard deviation of the population from which the sample was drawn.

a)

40.751 people

b)

49.675 people

c)

46.878 people

d)

47.878 people

3.

Priya Tendulkar, apartment manager for Green View Apartments, wants to inform potential renters about how much electricity they can expect to use during June. She randomly selects 61 residents and discovers their average electricity usage in June to be 894 kilowatt hours (kwh). Priya believes the variance in usage is about 131 (kwh)2. What would be an interval estimate for the average June electricity usage so Priya can be 68.3 percent certain the true population mean lies within this interval?

a)

(892.46, 895.46) kwh

b)

(879.23, 899,23) kwh

c)

(891,12, 897.12) kwh

d)

(880.12, 898.12) kwh

4.

What would be an interval estimate for the average June electricity usage so Priya can be 99.73 percent certain the true population mean lies within this interval?

a)

(889.62, 898.38) kwh

b)

(891,12, 897.12) kwh

c)

(880.12, 898.12) kwh

d)

(892.46, 895.46) kwh

5.

The administrator of a hospital surveyed the number of days for which 200 randomly chosen patients stayed in the hospital for the treatment of COVID-19. The data are given in the image with this question. What is the mean of the above distribution shown in the table?

a)

7.715

b)

6.715

c)

5.715

d)

8.715

6.

According to Chebyshev's theorem, how many stays should be between 0 and 17 days? Given that the standard deviation of the distribution is 4.69 days.

a)

150 stays

b)

50 stays

c)

90 stays

d)

200 stays

7.

Because the distribution is roughly bell-shaped, how many stays can we expect between 0 and 17 days?

a)

191

b)

151

c)

141

d)

171

8.

Here are the high temperature readings during June 2020 in Guna, MP. Find the 70th percentile:

84, 86, 78, 69, 94, 95, 94, 98, 89, 87, 88, 89, 92, 99, 102,

94, 92, 96, 89, 88, 87, 88, 84, 82, 88, 94, 97, 99, 102, 105

a)

84

b)

87

c)

94

d)

99

9.

Choose the correct statement(s) from the following:

a)

Central limit theorem says that 'Mean of the sampling distribution cannot estimate the population mean'

b)

Mean can work with open-ended classes, but mean shouldn't lie in the open-ended interval

c)

Sample Median is more popular estimator of the Population Mean than the Sample Mean

d)

None of the mentioned are correct

10.

Choose the correct statement(s) from the following:

a)

Median is a better measure of central tendency than mean if the data is normally distributed

b)

Mode is a better measure of central tendency than mean if the data is normally distributed

c)

Mean is a better measure of central tendency than median if the data is normally distributed

d)

None of the mentioned are correct

11.

Accepting a null hypothesis when it is false is called:

a)

Type-2 error

b)

Type-1 error

c)

Significance level (alpha)

d)

None of the mentioned is correct

12.

Choose the correct statement from the following:

a)

Data and Output is the input to the traditional programming, and program is the output

b)

LADARs are used for detecting distance from an object in Autonomous cars

c)

Supervised learning requires training data and a few desired outputs

d)

Association is a technique of Supervised learning