Q4-QUIZ-Statistics & Probability-Module 2

Quiz by Kimberly Mae Isaac

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10 questions
• Q1
Which of the following statements is correct?
The mean of the sampling distribution of the means is less than the population mean.
The mean of the sampling distribution of the sample means is greater than the population mean.
The means of the samples drawn from a population may be equal, greater than or less than the population mean.
The means of the samples drawn from a population are always equal to the population mean.
30s
• Q2
A certain population has a mean of 15.4 and a standard deviation of 5.6. If random samples of size 5 is taken this population, which of the following statements is correct?
The mean of the sampling distribution of the sample means is less than 15.4.
The standard deviation of the sampling distribution of the sample means 5.6.
The mean of the sampling distribution of the sample means is equal to 15.4.
The standard deviation of the sampling distribution of the sample means is 15.4
30s
• Q3
How many possible of size n = 3 can be drawn from a population of size 12?
220
36
144
1728
30s
• Q4
What is the shape of the sampling distribution of the means if random samples of size n become larger?
Normal
Right Skewed
Rectangular
Skewed
30s
• Q5
If the variance of the population is 10, what is the variance of the sampling distribution of the means of size 5 drawn from this population?
10
2.47
1.41
2.00
30s
• Q6
Which sample size will give a smaller standard error of the mean?
15
25
20
30
30s
• Q7
If random samples of size n are drawn from a population, then as n becomes larger, the sampling distribution of the means approaches the normal distribution, regardless of the shape of the population distribution. This is true according to which of the following theorem?
Central Limit Theorem
Gaussian Theorem
Sampling Distribution Theorem
Central Tendency Theorem
30s
• Q8
The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed. What is the probability of 5 randomly selected years will have an average precipitation greater than 18 inches for the first 7 months?
0.2587
0.8907
0.4156
0.1093
60s
• Q9
The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed. What is the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months?
0.2912
0.8523
4562
0.7088
60s
• Q10
The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed. What is the average precipitation of 5 randomly selected years for the first 7 months?
19.32 inches
22.4 inches
20.52 inches
15.56 inches
30s

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