A bakery charges two different prices for desserts. The table shows the number of cupcakes and the number of cookies sold in the
past
3
hours. The total earnings for hours
1
and
2
are given. Each cupcake costs the same price, and each cookie costs the same price. The system of equations can be used to represent the situation.
3
hours. The total earnings for hours
1
and
2
are given. Each cupcake costs the same price, and each cookie costs the same price. The system of equations can be used to represent the situation.
1 answer:
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Answer:
The decision rule for rejecting the null hypothesis is
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.
At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:
At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:
Type of test:
As we test if the mean is less than a value, we have a left-tailed test.
We have the standard deviation for the sample, which means that the t-distribution is used.
We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.
Using a calculator, the critical value is
Determine the decision rule for rejecting the null hypothesis.
We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is