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BUSI 230 HW 9.1 Basic Principles of Hypothesis Testing Assignment solutions complete answers
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The hypothesis states that a parameter is equal to a certain value while the hypothesis states that the parameter differs from this value.
Rejecting when it is true is called a error, and failing to reject when it is false is called a error.
Determine whether the alternate hypothesis is left-tailed, right-tailed, or two-tailed.
Determine whether the outcome is a Type I error, a Type II error, or a correct decision.
Big fish: A sample of 500 flounder of a certain species have sample mean weight 46.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight differs from 45 grams. State the appropriate null and alternate hypotheses.
Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 403 pounds. Agriculture scientists believe that the new fertilizer may decrease the yield. State the appropriate null and alternate hypotheses.
PC Gaming: A computer magazine editor claims that the mean cost of a gaming computer is $1,250. A test is made of versus . The null hypothesis is rejected. State an appropriate conclusion.
Testing, testing: An instructor believes that the mean time that students will spend on the take home test is 8 hours. A test is made of versus . The null hypothesis is not rejected. State an appropriate conclusion.
Coffee: The mean caffeine content per cup of regular coffee served at a certain coffee shop is supposed to be less than 100 milligrams. A test is made of versus . The null hypothesis is not rejected. State an appropriate conclusion.
Wedding bells: A wedding planner reports that the mean wedding cost is different than $28,000. A test is made of versus . The null hypothesis is not rejected. State an appropriate conclusion.
Social networking: Facebook reports that the mean number of friends of adult Facebook users is 338. A test is made of versus . The null hypothesis is not rejected. State an appropriate conclusion.
Check, please: A restaurant owner claims that the mean amount spent by diners at his restaurant is more than $30. A test is made of versus . The null hypothesis is not rejected. State an appropriate conclusion.
On the road again: An automobile researcher claims that the mean age of automobiles in the U.S. is . A test is made of versus . The null hypothesis is not rejected. State an appropriate conclusion.
Big dogs: A veterinarian claims that the mean weight of adult German shepherd dogs is 75 pounds. A test is made of versus . The null hypothesis is rejected. State an appropriate conclusion.
Air handling: The mean lifetime of a handheld leaf blower is reported to be 250 hours. A lawncare technician believes the actual lifetime to be less than hours. A test is made of versus . The null hypothesis is rejected. State an appropriate conclusion.
Type I error: A company that manufactures steel wires guarantees that the mean breaking strength (in kilonewtons) of the wires is greater than 50. They measure the strengths for a sample of wires and test versus .
If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength?
If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength?
This test uses a one-tailed alternative hypothesis. Explain why a one-tailed hypothesis is more appropriate than a two-tailed hypothesis in this situation.