A researcher developing scanners to search for hidden weapons at airports has concluded that a new scanner is significantly better than the current scanner. He made his decision based on a test using α=0.025. Would he have made the same decision at α=0.10? How about α=0.005? Please Explain.
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A researcher developing scanners to search for hidden weapons at airports has concluded that a new scanner is significantly better than the current scanner. He made his decision based on a test using α=0.025. Would he have made the same decision at α=0.10? How about α=0.005?
Please Explain.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.A nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusionThe critical value of F for an alpha level of 0.05 and 2 and 12 degrees of freedom is 3.88. if the observed F value of 6.67 is greater than 3.88. what happens to the null hypothesis and explain your position?
- A certain training device measures reaction times of users by illuminating lights, one at a time, and measuring the time it takes the user to press each light to turn it off. The makers of the device are marketing it for high-level training, saying that even among professional athletes, the proportion who can score the top ranking of "light speed" is less than 22% . As a fitness trainer who wants to buy the device to attract more customers, you want to feel comfortable that the claim made by the makers is correct. To test the claim, you decide to perform a hypothesis test. To do so, you rent the device and have a random sample of 130 professional athletes use it; 26 score a ranking of "light speed." You confirm that it is appropriate to perform a Z -test. Why is a Z -test appropriate? Find z , the value of the test statistic for your Z -test. Round your answer to three or more decimal places. =zA physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rate in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The test statistic is t≈5.627, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the heart rate in the 75∘F room and the heart rate in the 50∘F room is significantly not equal to…A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.
- A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rates in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The physician uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is computed as t≈5.627, which has 10 degrees of freedom. What range contains the p-value?At 0.05 level of significance, test the hypothesis that the new procedure is much better than theexisting one.1. Per the CDC article, men have higher blood pressure than women. Is this also true for this wholesale distribution center population? Use 0.05. Determine whether your (NEW) sample provides statistical evidence that this company’s population of adults has men with a higher blood pressure than women. Set alpha at 0.05 just focus on the Systolic number.
- What proportions of males and females wear a facemask while in a large parking lot? There is some evidence that the proportion of females wearing facemasks, pf , is different from the proportion of males wearing face masks, pm . We are going to examine this question by randomly selecting n=900 males and m=800 females walking in parking lots and observing how many of the selected people are wearing masks. Let XM equal the number of males in our sample who wear masks. Let XF equal the number of females in our sample who wear masks. Suppose XM = 494 and XF = 494. Let pmhat be the sample proportion of males in our sample who wear masks. Let pfhat be the sample proportion of females in our sample who wear masks. Let pm be the (unknown) true proportion of males who wear masks in large parking lots. Let pf be the (unknown) true proportion of females who wear masks in large parking lots.a)Calculate an unbiased point estimate of pm . b) We wish to construct a 90 % classical confidence…A researcher obtains t=2.25 for a repeated measures study using a sample of n=10 participants. Based on this t value, what is the correct decision for a two- tail test at .05 and .01 alpha level?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.
