In: Math
3. A recent study showed that the average number of sticks of gum a person chews in a week is 15. A college student believes that the guys in his dormitory chew less gum in a week. He conducts a study and samples 14 of the guys in his dorm and finds that on average they chew 13 sticks of gum in a week with a standard deviation of 3.6. Test the college student's claim at αα=0.01.
Since the level of significance is 0.01 the critical value is -2.65
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)
4. A recent publication states that the average closing cost for purchasing a new home is $8859. A real estate agent believes the average closing cost is more than $8859. She selects 22 new home purchases and finds that the average closing costs are $8747 with a standard deviation of $107. Help her decide if she is correct by testing her claim at αα=0.05.
Since the level of significance is 0.05 the critical value is 1.721
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)
5. A new baker is trying to decide if he has an appropriate price set for his 3 tier wedding cakes which he sells for $81.85. He is particullarly interested in seeing if his wedding cakes sell for less than the average price. He searches online and finds that out of 43 of the competitors in his area they sell their 3 tier wedding cakes for $82.38. From a previous study he knows the standard deviation is $6.98. Help the new baker by testing this with a 0.01 level of significance.
Since the level of significance is 0.01 the critical value is 2.326
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)
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