women with different natural hair colors – light blonde, dark blonde, light brunette, and dark brunette – using a one-way analysis of variance. The alternative hypothesis for this ANOVA test is:  (a) HA: The average pain threshold is greater than average for at least one hair color group.  (b) HA: The average pain threshold is the same for all hair color groups. (c) HA: The average pain threshold is less than average for at least one hair color group. (d) HA: The average pain threshold is different for at least one hair color group

A factor in determining the usefulness of an examination as a measure of demonstrated ability is the amount of spread that occurs in the grades. If the spread or variation of examination scores is very small, it usually means that the examination was either too hard or too easy. However, if the variance of scores is moderately large, then there is a definite difference in scores between "better," "average," and "poorer" students. A group of attorneys in a Midwest state has been given the task of making up this year's bar examination for the state. The examination has 500 total possible points, and from the history of past examinations, it is known that a standard deviation of around 60 points is desirable. Of course, too large or too small a standard deviation is not good. The attorneys want to test their examination to see how good it is. A preliminary version of the examination (with slight modifications to protect the integrity of the real examination) is given to a random sample of…

A research poll was conducted to investigate opinions about global warming. The respondent who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results for two age brackets are given in the table below. Human Activity Natural Patterns Don't know Under 30 108 41 7 65 and over 121 71 43 a. At the 1% significance level, test the claim that age bracket is independent of the choice for global warming. State the null and alternate hypothesis, find the test statistic and p-value, and state the decision. b. Do respondents from both age brackets appearto agree, or is there a substantial difference? What distribution is used to do the hypothesis testing? What is different about this C. distribution?

A large company that produces allergy medications claims that Americans lose an average of 40 hours of work to problems related to seasonal allergies. A consumer advocacy group believes that company's claim exhibits self-interest bias. In other words, the advocacy group believes that the actual mean number of missed hours is less than claimed. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 American workers. They find that these 100 people lost and average of 38 hours due to seasonal allergy symptoms. The standard deviation is 9.5 hours. (c) Based on your selection from part (b), what is the value of the standardized test statistic for this significance test?         (d) Based on your selection from part (b), what is the P-value for this significance test?         (e) What is the correct decision for this test, using a 0.05 level of signifcance?           A) Reject the null hypothesis      B) Do not reject the null…

"A large candy manufacturer produces, packages and sells packs of candy targeted to weigh 52 grams. A quality control manager working for the company was concerned that the variation in the actual weights of the targeted 52-gram packs was larger than acceptable. That is, he was concerned that some packs weighed significantly less than 52-grams and some weighed significantly more than 52 grams. In an attempt to estimate the variance of the weights of all of the 52-gram packs the manufacturer makes, he took a random sample of n = 20 packs off of the factory line. The random sample yielded a sample variance of 3.5 grams. Use 90% confidence level. What is the confidence interval for the variance of the weight of the candy?"

The grams of carbohydrates for cereals made by three popular cereal manufacturers (Kellogg, General Mills, and Post) were collected and a one-way ANOVA was performed, as displayed in the table below. Analysis of Variance results: Where: mfr="General Mills" or mfr="Kellogg" or mfr="Post" Responses: carbo Factors: mfr Response statistics by factor mfr="General Mills" or mfr="Kellogg" or mfr="P Carbohydrates 20 mir General Mills 22 14.727273 no Means Std. Dev. Std. Error + 3.3478041 0.71375423 15 Kellogg Post 23 15.130435 4.4650598 0.93102933 9 13.222222 1.9220938 0.64069792 ANOVA table Source DF mi SS MS F-Stat P-value 2 23.786927 11.893464 0.86217854 0.4283 51 703.52789 13.794664 10 Total 153 727.31481 General Mills Kellogg Manufacturer Post Which manufacturer has the highest median grams of carbohydrates? Post O Cannot be determined. O General Mills Kellogg myhip

A factor in determining the usefulness of an examination as a measure of demonstrated ability is the amount of spread that occurs in the grades. If the spread or variation of examination scores is very small, it usually means that the examination was either too hard or too easy. However, if the variance of scores is moderately large, then there is a definite difference in scores between "better," "average," and "poorer" students. A group of attorneys in a Midwest state has been given the task of making up this year's bar examination for the state. The examination has 500 total possible points, and from the history of past examinations, it is known that a standard deviation of around 60 points is desirable. Of course, too large or too small a standard deviation is not good. The attorneys want to test their examination to see how good it is. A preliminary version of the examination (with slight modifications to protect the integrity of the real examination) is given to a random sample of…

describe the difference between a one-sample t-test, a two-sample (independent-samples) t-test, a repeated measures (related-samples) t-test, and the analysis of variance (ANOVA).