A _________ is a statistical test used to compare the means of two groups
- ✓t-test
- Bp-test
- Ch-test
- Dg-test
Answer: A.
View full solution →Question types
Inferential Statistics question types
33 questions across 5 question groups — pick any mix to generate a Applied Maths paper with step-by-step answer keys.
33
Questions
5
Question groups
5
Question types
01
MCQ
10 Q→022 Marks Questions
15 Q→033 Marks Question
2 Q→045 Marks Questions
4 Q→05Case study (4 Marks)
2 Q→Sample Questions
Inferential Statistics questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Which of the following statements are true?
I: The mean of a population is denoted by overline x
II: The population mean is a statistic.
I: The mean of a population is denoted by overline x
II: The population mean is a statistic.
- AI only
- ✓II only
- CBoth I and II
- DNone
Answer: B.
View full solution →A simple random sample consist of four observation 1, 3, 5, 7. What is the point estimate of population standard deviation?
- A2.3
- ✓2.52
- C0.36
- D0.4
Answer: B.
View full solution →A sample of 50 pens is taken at random. Out of 50 pens we found 15 pens are of Cello, 17 are of Parker and 18 are of Reynolds. What is the point estimate of population proportion of Parker.
- A0.3
- ✓0.34
- C0.36
- D0.4
Answer: B.
View full solution →If we reject the null hypothesis, we might be making:
- ✓Type-I error
- BType-II error
- CA correct decision
- DA wrong decision
Answer: A.
View full solution →
Read the following text and answer the following questions on the basis of the same: Each sub-part carries 2 marks
are found to be 100, 104, 108, 110, 118, 120, 122, 124, 126, and 128 cms.
Q.1. Find the t-statistic for the given data, if mean height of the students is 110 cms.
Q.2. Discuss the suggestion that the mean height of the students of the college is 110 cms.[Given $t_9(0.05)=$2.262]
View full solution →are found to be 100, 104, 108, 110, 118, 120, 122, 124, 126, and 128 cms.
Q.1. Find the t-statistic for the given data, if mean height of the students is 110 cms.
Q.2. Discuss the suggestion that the mean height of the students of the college is 110 cms.[Given $t_9(0.05)=$2.262]
3. A machine which produces mica insulating washers of use in the electric devices is set to turn out washers having a thickness of 10 mils ( 1mil = 0.001 inch). A sample of 10 washers has an average thickness of 9.52 mils with a standard deviation of 0.60 mil. Find out t
In a sample of 400 population from a village 230 are found to be eaters of vegetarian items and the rest non-vegetarian items. Compute the standard error assuming that both vegetarian and non-vegetarian foods are equally popular in that village ?
A wholesaler in apples claims that only 4% of the apples supplied by him are defective. A random sample of 600 apples contained 36 defective apples. Calculate the standard error concerning good apples.
Ten individuals are chosen at random from the population and their heights are found to be in inches 63, 63, 64, 65, 66, 69, 69, 70, 70, 71. Discuss the freedom value of Student's-t and 5% level of significance is 2.62.
Find the student's -t for the following variable values in a sample of eight:
$-4,-2,-2,0,2,2,3,3$ taking the mean of the universe to be zero.
View full solution →$-4,-2,-2,0,2,2,3,3$ taking the mean of the universe to be zero.
The heights of six randomly chosen red roses are in $cm 63,65,68,69,71$ and 72 . Those of ten randomly chosen yellow roses are $61,62,65,66,69,70,71,72$ and 73. Find $t$-statistics for the given data.
View full solution →Read the following text and answer the following questions on the basis of the same:
Eight pots growing three barley plants each were exposed to high tension discharge, while nine similar pots were enclosed in an earthed wire cage. The numbers of tillers in each pot were as follows:
Two horse A and B were tested according to the time (in seconds) to run a particular track with the following results:
| Horse A | 28 | 30 | 32 | 33 | 33 | 29 | 34 |
| Horse B | 29 | 30 | 30 | 24 | 27 | 29 |
Test whether you can discriminate between two horses. You can use the fact that 5% value of t for 11 degrees of freedom is 2.20.
Read the following text and answer the following questions on the basis of the same:
A group of 7 weeks old chickens, reared on a high protein diet weight 12, 15, 11, 16, 14, 14, 16 ounces; a second group of 5 chickens, similarly treated except that they receive a low protein diet, weight 8, 10, 14, 10, 13 ounces. Given that the value of t for 10 degree of freedom at 5% level of significance is 2.23.
Q.1. Mean weight of old chickens, reared on a high protein diet is:
(A) 14 (B) 11 (C) 98 (D) 55
Q.2. Sum of the deviations of old chickens is:
(A) 23 (C) 22 (B) 18 (D) 14
Q.3. Mean weight chickens, receive a low protein diet is:
(A) 14 (B) 11 (C) 98 (D) 55
Q.4. The standard error for given two samples is:
(A) 2.14 (B) 2.41 (C) 2.93 (D) 2.55
A group of 7 weeks old chickens, reared on a high protein diet weight 12, 15, 11, 16, 14, 14, 16 ounces; a second group of 5 chickens, similarly treated except that they receive a low protein diet, weight 8, 10, 14, 10, 13 ounces. Given that the value of t for 10 degree of freedom at 5% level of significance is 2.23.
Q.1. Mean weight of old chickens, reared on a high protein diet is:
(A) 14 (B) 11 (C) 98 (D) 55
Q.2. Sum of the deviations of old chickens is:
(A) 23 (C) 22 (B) 18 (D) 14
Q.3. Mean weight chickens, receive a low protein diet is:
(A) 14 (B) 11 (C) 98 (D) 55
Q.4. The standard error for given two samples is:
(A) 2.14 (B) 2.41 (C) 2.93 (D) 2.55
Read the following text and answer the following questions on the basis of the same:
For a random sample of 10 pigs fed on diet A, the increases in weight in pounds in a certain period were 10, 6, 16, 17, 13, 12, 8, 14, 15, 9 lbs for another random sample of 12 pigs fed on diet B, the increases in the same period were 7, 13, 22, 15, 12, 14, 18, 8, 21, 23, 10, 17 lbs
Q.1. Mean of increases in weight on diet A is
(A) 12 pounds (B) 15 pounds (C) 20 pounds (D) 27 pounds
Q.2. Sum of square of deviation for diet B is:
(A) 120 (B) 314 (C) 150 (D) 214
Q.3. The number of degrees of freedom is:
(A) 10 (B) 12 (C) 15 (D) 20
Q.4. The standard error of this is:
(A) 4.65 (B) 4.55 (C) 46.5 (D) 4.10
For a random sample of 10 pigs fed on diet A, the increases in weight in pounds in a certain period were 10, 6, 16, 17, 13, 12, 8, 14, 15, 9 lbs for another random sample of 12 pigs fed on diet B, the increases in the same period were 7, 13, 22, 15, 12, 14, 18, 8, 21, 23, 10, 17 lbs
Q.1. Mean of increases in weight on diet A is
(A) 12 pounds (B) 15 pounds (C) 20 pounds (D) 27 pounds
Q.2. Sum of square of deviation for diet B is:
(A) 120 (B) 314 (C) 150 (D) 214
Q.3. The number of degrees of freedom is:
(A) 10 (B) 12 (C) 15 (D) 20
Q.4. The standard error of this is:
(A) 4.65 (B) 4.55 (C) 46.5 (D) 4.10
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