Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. DietRegularμμ1mu 2μ2n41414141(overbar)x0.77984 lb0.82336 lbs0.00451 lb0.00739 lba. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, is ______ The P-value is _______ State the conclusion for the test. b. Construct a confidence interval appropriate for the hypothesis test in part (a)._____ lb < μ1 - μ2 <_____ lbDoes the confidence interval support the conclusion found with the hypothesis test?

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Description: Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distrib

State the hypotheses. That is, there is no evidence that the contents of cans of diet soda have…

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Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts.

	Diet	Regular
μ	μ1	mu 2μ2
n	4141	4141
(overbar)x	0.77984 lb	0.82336 lb
s	0.00451 lb	0.00739 lb

a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.

What are the null and alternative hypotheses?

The test statistic, t, is ______

The P-value is _______

State the conclusion for the test.

b. Construct a confidence interval appropriate for the hypothesis test in part (a).

_____ lb < μ1 - μ2 <_____ lb

Does the confidence interval support the conclusion found with the hypothesis test?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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