A soda-dispensing machine fills cups with amounts of soda that are normally distributed with population standard deviation 0.5 ounces. In a sample of 17 cups, the mean amount of soda per cup was found to be 12.24 ounces. A hypothesis test is conducted at the $alpha = 0.01$ significance level to determine whether the mean amount of cola in all cups filled by the machine is greater than 12 ounces. Find the P-value for this hypothesis test. Round your answer to four decimal places. Answer: P-value =
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- Null hypothesis (H0): μ ≤ 12 - Alternative hypothesis (H1): μ > 12 Show more…
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Assume that the variables are normally or approximately normally distributed. Use the traditional method of hypothesis testing unless otherwise specified. A machine fills 12 -ounce bottles with soda. For the machine to function properly, the standard deviation of the population must be less than or equal to 0.03 ounce. A random sample of 8 bottles is selected, and the number of ounces of soda in each bottle is given. At $\alpha=0.05,$ can we reject the claim that the machine is functioning properly? Use the $P$ -value method. $\begin{array}{llll}12.03 & 12.10 & 12.02 & 11.98 \\ 12.00 & 12.05 & 11.97 & 11.99\end{array}$
Hypothesis Testing
????2 Test for a Variance or Standard Deviation
A random sample of 25 cups from a certain coffee dispensing machine yields mean = 6.9 ounces per cup. Use a = 0.05 level of significance to test, on the average, the machine dispense p = 7.0 ounce against the null hypothesis that, on the average, the machine dispenses p 7.0 ounces. Assume that the distribution of ounces per cup is normal and that the standard deviation of the sample is 0.1 ounces.
Madhur L.
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