A certain hypothesis is tested by three similar experiments. These gave x² = 11-9 for v = 6, x² = 14-2 for v = 8 and x² = 18.3 for v = 11. Show that the three experiments together provide more justification for rejecting the hypothesis than any one experiment alone.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.I am most confused on how to know if you use less than or greater than for the alternative hypothesis??Based upon your answers to 1A and 1C, specify whether you would reject the null hypothesis or would fail to reject the null hypothesis. Then explain what could be concluded about binge drinking based upon this result.
- When the alternative hypothesis lies on their sides of the value specified by Ho, it is called a.T-test b.F-test c.One-tailed test d. Two-tailed testThe shop floor manager in a dairy company believes that the milk packaging process unit for 1 liter packs is not working fine and needs calibration. If the Null Hypothesis is framed to be µ = 1 liter, what would be the alternate hypothesis?FOR THIS, WE REJECT THE NULL FOR BOTH MODELS.
- Suppose an engineering firm is asked to check the safety of a dam. A) What kind of mistake would be made if the Ho (null hypothesis) that the dam is safe is wrongly rejected? B) What kind of mistake would be made if the Ho that the dam is safe is wrongly accepted?If the hypothesis test results in a p-value of 0.08, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.95, would we be able to reject the null hypothesis if we were using alpha=0.05? If the hypothesis test results in a p-value of 0.02, would we be able to reject the null hypothesis if we were using alpha=0.01?During our morning commute we encounter two traffic lights which are distant from one another and may be assumed to operate independently. There is a 50% chance that we will have to stop at thw first of the lights and there is a 30% chance that we'll be stopped by the second light. Find the probabilioty that we are stopped by at least one of the lights.
- A toy manufacturer claims that the meantime that its top-selling toy captures children's attention is at least 20 minutes. Suppose that we doubt this claim and we carry out a hypothesis test to see if we can refute the claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.Researchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee. What does each dot represent? Choose the best answer. Choice 1:A difference in time to flee for a single lizard from Alabama, and a single lizard from Arkansas, assuming the null hypothesis is true. Choice 2:A difference in mean response times for one sample of lizards from Alabama, and one sample of lizards from Arkansas, which was likely to occur if the null hypothesis is true. Choice 3:A difference in response times for two lizards in our sample. Choice 4:The proportion of all lizards who will free from fire ants. Which Choice is most correct and why?If the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?