4. The amount of juice from a dispenser has a normal distribution with a mean of 240ml. A random sample of 10 glasses of juice dispensed from the machine had a mean of 200ml and a standard deviation of 130 ml. A test was carried out at the 5% level of significance to determine if on average the machine does not dispense 240ml of juice. a) State, in symbols, appropriate null and alternative hypothesis for the test. b) Calculate the critical value for the test. c) Calculate the test statistic. d) State, with reason, your decision and conclusion for this test.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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4. The amount of juice from a dispenser has a normal distribution with a mean of 240ml. A
random sample of 10 glasses of juice dispensed from the machine had a mean of 200ml
and a standard deviation of 130 ml.
A test was carried out at the 5% level of significance to determine if on average the
machine does not dispense 240ml of juice.
a) State, in symbols, appropriate null and alternative hypothesis for the test.
b) Calculate the critical value for the test.
c) Calculate the test statistic.
d) State, with reason, your decision and conclusion for this test.
Transcribed Image Text:4. The amount of juice from a dispenser has a normal distribution with a mean of 240ml. A random sample of 10 glasses of juice dispensed from the machine had a mean of 200ml and a standard deviation of 130 ml. A test was carried out at the 5% level of significance to determine if on average the machine does not dispense 240ml of juice. a) State, in symbols, appropriate null and alternative hypothesis for the test. b) Calculate the critical value for the test. c) Calculate the test statistic. d) State, with reason, your decision and conclusion for this test.
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