A researcher did a one-tailed one-sample t-test to test the hypothesis that babies prefer the color blue over the color red. He collected a sample of 26 babies and presented them with a red plastic star and a blue plastic start for 12 seconds. The researcher measured the amount of time each baby spent watching the blue star out of the 12 seconds. What is the critical t value, assuming the alpha level used was .05?
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- 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…A researcher is looking at a new marketing campaign for a product. After 200 people watched the marketing campaign about 60 percent liked the product. Prior to the marketing campaign the product was liked by about 50 percent of people. What is the chi-square cutoff for an alpha of 0.05 for this research project?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 = 3.16
- 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…Milk has a pH of 6.7, which is slightly acidic. Cheese makers add a culture to milk to lower the pH, making it more acidic and turning it into cheese. A manufacturer is experimenting with a new culture that claims to produce a pH of 5.2, which is perfect for cheddar cheese. A set of 50 test batches resulted in an average pH of 5.11. A one-sample tt-test was conducted to investigate whether there is evidence that the mean pH is different from 5.2. The test resulted in a pp-value of 0.018. Which of the following is a correct interpretation of the p-value? a)The probability that the true pH is equal to 5.2 is 0.018. b)The probability that the true pH is different from 5.2 is 0.018. c)The probability of observing a sample mean of 5.11 or less is 0.018 if the true mean is 5.2. d)The probability of observing a sample mean of 5.11 or more is 0.018 if the true mean is 5.2. e)The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true…Alexa hypothesizes that consuming whole-grain cereal for breakfast will cause students to take part in more exercise throughout the day. Assuming that she chooses an alpha level of .05, what is the critical z of her test?
- A study of the effect of caffeine on muscle metabolism used eighteen male volunteers who each underwent arm exercise tests. Nine of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to O2 consumed and is an indicator of whether energy is being obtained from carbohydrates or fats). Does the data provide evidence that caffeine does, on average, reduce RER? Placebo Caffeine 104 96 119 100 100 94 97 89 98 96 103 93 94 89 95 105 98 88 Mean 100.89 94.44 Variance 57.11 31.28A study of the effect of caffeine on muscle metabolism used eighteen male volunteers who each underwent arm exercise tests. Nine of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to O2 consumed and is an indicator of whether energy is being obtained from carbohydrates or fats). The question of interest to the experimenter was whether, on average, caffeine changes RER. The two populations being compared are “men who have not taken caffeine” and “men who have taken caffeine” the results were as follows: Develop the hypothesis, Do the test Write the result of the hypothesisA study was conducted to examine the effect of diet cola consumption on calcium levels in women. A sample of 16 healthy women aged 18 to 40 were randomly assigned to drink 24 ounces of either diet cola or water. Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg) was measured. The data are stored in ColaCalcium.
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