Confidence intervals - true/false - Numbas at mathcentre.ac.uk

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Mario Orsi

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5 years, 1 month ago

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Mario Orsi 5 years, 1 month ago

Gave some feedback: Ready to use

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Mario Orsi 5 years, 1 month ago

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Mario Orsi 5 years, 1 month ago

Created this as a copy of Multiple regression - true/false.

Name	Status	Author	Last Modified
Bonding - true/false	Ready to use	Mario Orsi	02/05/2023 19:37
Inference for proportions - true/false	Ready to use	Mario Orsi	15/05/2023 11:12
Chi-square: true/false	Ready to use	Mario Orsi	08/12/2021 10:54
Paired data - true/false	Ready to use	Mario Orsi	31/01/2020 13:19
ANOVA - true/false	Ready to use	Mario Orsi	29/09/2021 09:29
Linear regression - true/false	Ready to use	Mario Orsi	28/04/2021 15:45
Multiple regression - true/false	Ready to use	Mario Orsi	17/05/2023 10:18
Confidence intervals - true/false	Ready to use	Mario Orsi	27/03/2020 16:48

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Question statement

Identify each of the following statements as true or false in relation to confidence intervals (CIs):

Give any introductory information the student needs.

			Name	Type	Generated Value

t_statements	list	List of 8 items
f_statements	list	List of 8 items
statements	list	List of 16 items
statement_marks	list	Nested 16×2 list
choices	list	[ 8, 10, 5, 0, 11, 12 ]
n	integer	15
df	integer	14

			Name	Type	Generated Value

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Generated value: `list`

[ "The central limit theorem states that the distribution of sample means is normally distributed when the sample size is greater than 30.", "We typically don’t know the true standard deviation $\\sigma$, so we use the sample standard deviation $s$ instead.", "With small samples (size less than 30), we use the Student $t$-distribution instead of the normal distribution.", "A 95% CI is a numerical interval within which we are 95% confident that the true mean $\\mu$ lies.", "For a sample size $n=\\var{n}$, the number of degrees of freedom is $n=\\var{df}$.", "The true mean $\\mu$ may be outside the corresponding confidence interval.", "If we repeat an experiment 100 times (using 100 different samples) and construct a 95% CI each time, then approximately 5 of those 100 CIs would $not$ contain the true mean 𝜇.", "If we repeat an experiment 100 times (using 100 different samples) and construct a 95% CI each time, then approximately 95 of those 100 CIs would contain the true mean 𝜇." ]

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