Question

5 more questions from the first post that I made. Posting questions I don't quite understand or need some help with.

Suppose we want a 93% confidence interval for the average amount spent on books by freshmen in their first year at a major university. The interval is to have a margin of error of $2, and the amount spent has a Normal distribution with a standard deviation σ = $30. The number of observations required is CLOSEST to:
	28. 738. 865. 30.

	In a statistical test of hypotheses, we say the data are statistically significant at level α if:
	the P-value is larger than α. α is small. α = 0.05. the P-value is less than α.

A test statistic in a one-sample t test is described as t(15). From this, we know that the:
	sample size used is 15. sample size used is 16. mean of the t distribution is 15. degrees of freedom are 14.

An SRS of 16 items taken from a Normal population yields the average 27.6 and the standard deviation 1.88. To calculate a 95% confidence interval estimate of the population mean, the critical value used in the margin of error is:
	z* = 1.96. t* = 1.746. z* = 1.645. t* = 2.131.

	The one-sample t statistic from a sample of n = 21 observations for the two-sided test of H0: μ = 60, Ha: μ ≠ 60 has the value t = –1.98. Based on this information:
	All of the answers are correct. we would reject the null hypothesis at α = 0.10. we would reject the null hypothesis at α = 0.05. 0.025 < P-value < 0.05.

Answer 1

Hence it is closest to 738.

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	In a statistical test of hypotheses, we say the data are statistically significant at level α if:
	the P-value is less than α.

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Degree of freedom is df= 15

The sample size is n = 15+1 = 16

A test statistic in a one-sample t test is described as t(15). From this, we know that the:
	sample size used is 16.

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Answer: t* = 2.131

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Test is two tailed so p-value of the test using excel function "=TDIST(1.98,21-1,2)" is 0.0616.

Since p-value is less than α = 0.10 so we reject the null hypothesis at α = 0.10.

Correct option is

we would reject the null hypothesis at α = 0.10.