A) Formulate the hypotheses using the appropriate notation. B) Calculate the test statistic showing 3 places after the decimal. C) Find the p-value from the theoretical distribution area in Stat Key D) Write your conclusion in the language of the problem. 1. A food company claims its frozen dinner lasagna has a mean of 690 calories per serving. The quality control department wants to test to see if the mean is actually more than 690 calories. In a sample of 70 of the entrees the mean number of calories was 698 with a standard deviation of 11 calories. At the 5% significance level is there sufficient evidence to claim the mean calories in an entrée is more than 690? The mean time it took a customer service department to process a customer complaint in 2014 was 11.4 minutes. A new process was incorporated that required less work. Before fully adopting the new process the company wanted to see if there was evidence that the mean time to process the complaints had changed under the new process. In a sample of 51 complaints handled with the new process the mean time was 13.1 minutes with a standard deviation of 4.2 minutes. At the 5% significance level can we claim that the mean time to process a complaint has changed.

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Both of these problems are to be based on A B C D. Can you please show me detailed explanation to solve these two problems please?

A) Formulate the hypotheses using the appropriate notation.
B) Calculate the test statistic showing 3 places after the decimal.
C) Find the p-value from the theoretical distribution area in Stat Key
D) Write your conclusion in the language of the problem.
1. A food company claims its frozen dinner lasagna has a mean of 690 calories per serving. The quality control
department wants to test to see if the mean is actually more than 690 calories. In a sample of 70 of the
entrees the mean number of calories was 698 with a standard deviation of 11 calories. At the 5% significance
level is there sufficient evidence to claim the mean calories in an entrée is more than 690?
Transcribed Image Text:A) Formulate the hypotheses using the appropriate notation. B) Calculate the test statistic showing 3 places after the decimal. C) Find the p-value from the theoretical distribution area in Stat Key D) Write your conclusion in the language of the problem. 1. A food company claims its frozen dinner lasagna has a mean of 690 calories per serving. The quality control department wants to test to see if the mean is actually more than 690 calories. In a sample of 70 of the entrees the mean number of calories was 698 with a standard deviation of 11 calories. At the 5% significance level is there sufficient evidence to claim the mean calories in an entrée is more than 690?
The mean time it took a customer service department to process a customer complaint in 2014 was 11.4
minutes. A new process was incorporated that required less work. Before fully adopting the new process the
company wanted to see if there was evidence that the mean time to process the complaints had changed under
the new process. In a sample of 51 complaints handled with the new process the mean time was 13.1 minutes
with a standard deviation of 4.2 minutes. At the 5% significance level can we claim that the mean time to
process a complaint has changed.
Transcribed Image Text:The mean time it took a customer service department to process a customer complaint in 2014 was 11.4 minutes. A new process was incorporated that required less work. Before fully adopting the new process the company wanted to see if there was evidence that the mean time to process the complaints had changed under the new process. In a sample of 51 complaints handled with the new process the mean time was 13.1 minutes with a standard deviation of 4.2 minutes. At the 5% significance level can we claim that the mean time to process a complaint has changed.
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