Question

11.12/16.66 points You may need to use the appropriate technology to answer this question Use α0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample appears to have been selected from a normal probability distribution. Previous Answers ASWSBE13 12 E.025. My Notes + - Note: x-69.2 and s-18.) 54 | 85 | 93 57 54 94 | 54 | 51 | 68 | 94 | 89 | 64 | 86 | 49 55 54 56 9757 78 91 6158 87 44 State the null and alternative hypotheses O Ho: The population does not have a normal probability distribution. Ha: The population has a normal probability distribution H: The population has a normal probability distribution. H: The population has a x* distribution. O Ho: The population has a normal probability distribution : The population does not have a normal probability distribution Ho: The population has a normal probability distribution Ha: The population has a sampling mean distribution Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value

Answer 1

Answer:

Question 6 answered:

Test statistic= 9.913

P value = 0.0070

However 75.17% of women prefer a slower pace compared to 67.65% of men and 25.88% of men prefer faster pace compared to 15.86% of women.

Excel Addon Megastat used.

$\chi^2 = \sum \frac{(O - E)^2}{E}$

		Male	female	Total
slower	Observed	230	218	448
	Expected	241.78	206.22
No preference	Observed	22	26	48
	Expected	25.90	22.10
faster	Observed	88	46	134
	Expected	72.32	61.68
Total	Observed	340	290	630
	Expected			630.00
		Male	female	Total
slower	Observed	230	218	448
	% of column	67.65%	75.17%	71.11%
No preference	Observed	22	26	48
	% of column	6.47%	8.97%	7.62%
faster	Observed	88	46	134
	% of column	25.88%	15.86%	21.27%
Total	Observed	340	290	630
	% of column	100.0%	100.0%	100.0%
		9.913	chi-square
		2	df
		.0070	p-value