Miriam is using a one-sample t-test on the following group:Subject #15: 6.5 hoursSubject #27: 5 hoursSubject #48: 6 hoursSubject #80: 7.5 hoursSubject #91: 5.5 hoursWhich of the following statements is true?a.)Miriam needs to use a t-test when the standard deviation is known.b.)The value for the degrees of freedom for Miriam's sample population is five.c.)The value for the degrees of freedom for Miriam's sample population is four.d.)The t-distribution that Miriam uses is taller and has thinner tails than a normal distribution.
Question
Miriam is using a one-sample t-test on the following group:Subject #15: 6.5 hoursSubject #27: 5 hoursSubject #48: 6 hoursSubject #80: 7.5 hoursSubject #91: 5.5 hoursWhich of the following statements is true?a.)Miriam needs to use a t-test when the standard deviation is known.b.)The value for the degrees of freedom for Miriam's sample population is five.c.)The value for the degrees of freedom for Miriam's sample population is four.d.)The t-distribution that Miriam uses is taller and has thinner tails than a normal distribution.
Solution
The correct answer is c.) The value for the degrees of freedom for Miriam's sample population is four.
Here's the step-by-step explanation:
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The degrees of freedom for a one-sample t-test is calculated by subtracting 1 from the total number of observations (or sample size). In this case, Miriam has 5 subjects, so the degrees of freedom is 5 - 1 = 4.
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Option a is incorrect because a t-test is used when the population standard deviation is unknown, not known.
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Option b is incorrect because, as explained in step 1, the degrees of freedom is 4, not 5.
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Option d is incorrect because a t-distribution is shorter and has fatter tails than a normal distribution, not taller and thinner. This allows for more variability in smaller sample sizes.
Similar Questions
Miriam is using a one-sample t-test on the following group:Subject #15: 6.5 hoursSubject #27: 5 hoursSubject #48: 6 hoursSubject #80: 7.5 hoursSubject #91: 5.5 hoursWhich of the following statements is true?a.)Miriam needs to use a t-test when the standard deviation is known.b.)The value for the degrees of freedom for Miriam's sample population is five.c.)The value for the degrees of freedom for Miriam's sample population is four.d.)The t-distribution that Miriam uses is taller and has thinner tails than a normal distribution.
What is the alternative hypothesis for a one-sample t-test?
When conducting a one-sample t-test, what is the null hypothesis comparing?*1 pointa. Two independent samplesb. Two paired samplesc. One sample to a known population parameterd. The means of three or more groups
With a one-sample t-test, the value of t isGroup of answer choicesalways positivepositive if the sample mean is too smallnegative whenever the sample standard deviation is negativepositive if the sample mean is larger than the hypothesised population mean
The degrees of freedom for a two-sample t-test is
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