If we use a t-test with SPSS, at an alpha level of .01, and the "sig" value provided by SPSS is .03 we would: Reject H1 Fail to Reject H₁ Support H₁ Fail to Support H1
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- A dentist wanted to determine if a relationship existed between childhood fluoride exposure and cavities. She took a sample of adults in her practice and counted how many cavities each person had in his or her permanent teeth. She also determined how many years of childhood each person was exposed to tap water with fluoride. The minimum value on this variable was 0 and the maximum was 18. Using the data below, an alpha of .05 and a two-tailed test, was there a significant relationship? Years of fluoride Number of cavities 0 10 18 1 2 7 12 3 3 4 10 5 M = 7.5s =6.98 M = 5.00s = 3.16A school bus driver records the time (in minutes) it takes to commute to school for six days.Those results are: 25, 22, 17, 20, 15, and 10. Using an alpha value of ? = 0.10, test if the meantime is significantly different than 20 minutes.The average wind speed in Casper Wyoming has been found to 12.7 miles per hour and in Phoenix Arizona it is 6.2 mph. To test the relationship between the averages, the average wind speed has calculated for a sample of 31 days for each city. The results are reported below. Is there sufficient evidence at alpha = 0.05 to conclude that the average wind speed is greater in Casper or Phoenix ? Sample size Casper 31 Phoneix 31 Sample mean 12.85mph 7.9mph Sample standard deviation 3.3mph 2.8mph
- Sal knows that parties of people on average spend 75 minutes at their restaurant. They wonder if this average is significantly different on the weekends. They found the average time spent by the 30 parties which dined there this weekend was 82 minutes with a SD of 17 minutes. Assume an alpha of .05. What is the test statistic?You obtain a t comp of .975 in a two sample independent t test with alpha at .05. Is it significant?The Consumer Reports customer satisfaction survey is based upon 148,599 visits to full service restaurant chains. Assume this data set is representative of the results reported. The variable restaurant “type” indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount a person paid for dinner and drinks minus the tip. Score reflects overall customer satisfaction and a score of 80 can be interpreted as very satisfied. Assume alpha = 0.05 for all parts of this question. First, develop a dummy variable to indicate the restaurant’s “type”. Use a dummy variable code of ‘0’ to indicate an Italian restaurant and a ‘1’ to indicate a seafood/steakhouse. Develop a regression equation predicting the customer satisfaction score based upon both price and restaurant type. What is the predicted satisfaction score for an Italian restaurant when average meal price spent is $20? Which restaurant comes "closest" to being an "outlier" in a…
- Bo is buying some nails for a project. They are interested in whether the boxes are significantly lower than advertised. The company says the box of nails should weigh 10 lbs but Bo finds the average weight of 8 boxes id 9.8 lbs with a SD of .4 lbs. assume alpha of .10. What is the test statistic?Two researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 226 observations in the category of interest, and p= 6=226/400=0.565. Researcher B gets 225 in the category of interest, and p = 225/400=0.5625. Complete parts (a) through (d) below. a. Find the z-scores and P-values for both researchers. Researcher A Z = Researcher B Z = P-value = P-value = (Round the z-scores to two decimal places as needed. Round the P-values to three decimal places as needed.) The result in case A is The result in case B is b. Using α = 0.01, indicate in each case whether the result is "statistically significant." Interpret. What does the statistical significance of the results above imply? OA. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically…. Differences of electric potential occur naturally from point to point on a body’s skin. Researchers used newts to determine if changing the electric field reduces the mean healing rate for all newts. The researchers found in a sample of 14 newts the following data results: ?̅= −5.714 with sd = 10.564. Conduct a paired t-test at α = .01 to determine if there is sufficient evidence to conclude that changing the electric field reduces the mean healing rate for all newts.
- Is it more conservative to use an alpha level of .01 or an alpha level of .05? Would beta be higher for an alpha of .05 or for an alpha of .01?Assume that ρxy = .30 between weight and exercise for the population of normal adults. However, a researcher believes the relationship is stronger for children. The researcher tests a sample of 28 children and obtains an rxy = .47. Does this result support the researcher’s belief? Conduct an appropriate statistical test using an alpha level of .05.Cindy is a server at a local restaurant who makes, on average, $58 in tips per daytime shift. Cindy thinks she will make more if she moves to the nighttime shift. Her manager will choose five random nighttime shifts for Cindy to work. Cindy plans to conduct a significance test on the hypotheses H0: mu = 58; Ha: mu > 58 at the alpha = 0.05 level, where is the true mean amount of tips Cindy will make working nighttime shifts. Are the conditions for performing the test met? No, the 10% condition is not met. No, the sample size is too small, and a Normal distribution cannot be assumed. Yes, all conditions are met for performing a significance test about the mean. Yes, only the random condition must be met in order to perform a significance test. No, there is no way the manager could choose a random sample of shifts to work.
