The statistic was calculated and reported as 12.98. Using a = .05, should the null hypothesis be rejected?
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- A researcher tests whether listening to music while taking an exam has any effect. The population mean of people taking an exam while not listening to music is 50, with a standard deviation of 12. The researcher tests a sample of 57 people who listen to music while taking an exam and they produce a mean of 54.36. 1. State the null and research hypotheses. 2. . Calculate the z STATISTIC: 3. Using a two tailed test with a p value of .05, the critical value is -1.96 and 1.96. Make a decision about your hypothesis.Q10. A Random Variable X has an unknown distribution, a known mean of 10 and an unknown variance, oʻ. To test a claim that the distribution is no longer 10, a random sample of 100 of X was collected which gave a sample mean, x of 9.8 and a sample variance, s? = 16. What is the hypothesis testing decision based on this data? A. Reject the Null: x = 10. C. Don’t Reject the Null: µ = 10. B. Don't reject the Null: x = 10 %3D D. Reject the Null: µ = 10. O A. A В. В ОС. С O D. DThe mean number of eggs per person eaten in the United States is 244. Do college students eat a different number of eggs than the average American? The 60 college students surveyed averaged 255 eggs per person and their standard deviation was 64.4. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v Н: Select an answer V c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest that the populaton mean is significantly different from 244 at a = 0.10, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 244. O The data suggest…
- According to a University Center for Logistics Management, 8% of all merchandise sold in the United States gets returned. Seattle department store sampled 88 items sold in January and found that 8 of the items were returned. If you have the following null and alternative hypotheses for a test you are running: Ho:p = 0.08 Ha:p < 0.08 Calculate the test statistic, rounded to 3 decimal places. Submit Question Ce %23 24 % 4. 7 80 e r u SI d b. 60 65The following hypotheses are given to determine an One-Tail testing. H0: p≤0 Ha: p >0 A random sample of 10 paired observations indicated a correlation (r) of .35. Can we conclude that the correlation in the population is greater than zero by performing the t-statistic? By using the .05 significance level, what is the p-value or critial value?____________ What is your decision regarding Ho or the null hypothosis? The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables? H0: p≤0 Ha: p >0 Use the 5%…Suppose are running a study/poll about the proportion of men over 50 who regularly have their prostate examined. You randomly sample 102 people and find that 87 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running: Ho:p = 0.86 Ha:p < 0.86 Calculate the test statistic, rounded to 3 decimal places. Z = Question Help: D Video Submit Question hp % & 3 4 7 8 5
- Consumer Reports did a survey of 1100 adults and found that 565 were unhappy that their food did not look like the picture in the menu. Use a 0.05 significance level to test the claim that the majority of adults are annoyed by food that does not look like the picture in the menu. Identify the null and alternate hypotheses. TTTArial 3 (12pt) v T- = - E·Va hospital claims that the proportion, p, of full-term babies born in their hospital that weigh more than 7 pounds is 41%. In a random sample of 210 babies born in the hospital, 102 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.5 level of significance? a. State the null hypothesis H0 and the alternative hypothesis H1.b.Determine the type of test statistic to use c. Find the value of the test statistic. Round to three or more decimals.d. Find the p-value (round to three decimal places)e. Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 41%?Suppose a baker claims that her bread height is more than 13 cm, on average. Several of her customers do not believe her, so the baker decides to do a hypothesis test, at a 10% significance level, to persuade them. She bakes 25 loaves of bread. The mean height of the sample loaves is 13.8 cm. The baker knows from experience that the standard deviation for her bread height is 0.9 cm. H0: μ≤13; Ha: μ>13 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
- the head of public safety notices that the average driving speed in a parking structure averages 2.55 mph with a standard deviation of 0.5 mph. after a school speed limit sign of 5 mph is placed at an intersection, the first 30 cars travel past at an average speed of 2.76 mph. a. using the five steps of hypothesis testing, was the group of 30 cars' mph different from the driving speed of cars in general in this parking lot? (use the .05 significance level.) be sure to sketch the distributions involved. be sure to fully state the five steps and show all calculations/work. b. additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (be sure your explanation includes a discussion of the distribution of means--what it is, what it is made of, the concept of how it is created, how it's characteristics…The following hypotheses are given to determine an One-Tail testing. H0: p≤0 Ha: p >0 A random sample of 10 paired observations indicated a correlation (r) of .35. Can we conclude that the correlation in the population is greater than zero by performing the t-statistic? By using the .05 significance level, what is the p-value or critial value?____________ What is your decision regarding Ho or the null hypothosis? The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables? H0: p≤0 Ha: p >0 The…Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23. Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. Values for right-tail areas under the t-distribution curve Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652…