10. The label on a bag of potato chips claims that there are 4mg of sodium per serving. Suppos an agency is going to test this claim. The agency will only pursue a case if the mean sodium per serving is too high. A sample of 256 bags produced a sample average of 4.400. Th standard deviation of sodium per serving is known to be 4. We want to know whether ther is a problem with the label. (a) What is the null hypothesis and what is the alternative hypothesis? (b) What is the value of the test statistic? (c) What is the p-value of the test? (Compute to 4 digits after the decimal point). (d) Do we reject Ho at the .05 level of significance? Reject or Not Reject (e) Do we reject Ho at the .01 level of significance? Reject or Not Reject

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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10. The label on a bag of potato chips claims that there are 4mg of sodium per serving. Suppose
an agency is going to test this claim. The agency will only pursue a case if the mean sodium
per serving is too high. A sample of 256 bags produced a sample average of 4.400. The
standard deviation of sodium per serving is known to be 4. We want to know whether there
is a problem with the label.
(a) What is the null hypothesis and what is the alternative hypothesis?
(b) What is the value of the test statistic?
(c) What is the p-value of the test? (Compute to 4 digits after the decimal point).
(d) Do we reject Ho at the .05 level of significance?
Reject or Not Reject
(e) Do we reject Ho at the .01 level of significance?
Reject or Not Reject
11. Using the current system, the mean wait time for people who call for technical support is 4
minutes. A new system was designed to reduce the mean wait time. A random sample of 225
calls produced a sample average of 3.730. The standard deviation of wait times is known to
be 3. We want to know whether the new system reduces wait times.
(a) What is the null hypothesis and what is the alternative hypothesis?
(b) What is the value of the test statistic?
(e) What is the p-value of the test? (Compute to 4 digits after the decimal point).
(d) Do we reject. Ho at the .05 level of significance?
Reject or Not Reject
(e) Do we reject Ho at the .01 level of significance?
Reject or Not Reject
Transcribed Image Text:10. The label on a bag of potato chips claims that there are 4mg of sodium per serving. Suppose an agency is going to test this claim. The agency will only pursue a case if the mean sodium per serving is too high. A sample of 256 bags produced a sample average of 4.400. The standard deviation of sodium per serving is known to be 4. We want to know whether there is a problem with the label. (a) What is the null hypothesis and what is the alternative hypothesis? (b) What is the value of the test statistic? (c) What is the p-value of the test? (Compute to 4 digits after the decimal point). (d) Do we reject Ho at the .05 level of significance? Reject or Not Reject (e) Do we reject Ho at the .01 level of significance? Reject or Not Reject 11. Using the current system, the mean wait time for people who call for technical support is 4 minutes. A new system was designed to reduce the mean wait time. A random sample of 225 calls produced a sample average of 3.730. The standard deviation of wait times is known to be 3. We want to know whether the new system reduces wait times. (a) What is the null hypothesis and what is the alternative hypothesis? (b) What is the value of the test statistic? (e) What is the p-value of the test? (Compute to 4 digits after the decimal point). (d) Do we reject. Ho at the .05 level of significance? Reject or Not Reject (e) Do we reject Ho at the .01 level of significance? Reject or Not Reject
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