Comfort Food Magazine states the average calories of a medium size hot dog is 209. The number of calories for a medium size hot dog is normally distributed. A random sample of 15 different brands of medium size hot dogs resulted in the following calorie count provided below. Can it be concluded that the average calories of a medium size hot dog will be 209 based on level significance of 0.01?

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x=100.74​, y=103.1​, r=0.906​, ​P-value=​0.000, and y=12.63+0.9x​, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 105​? Use a significance level of 0.05.

​Cadmium, a heavy​ metal, is toxic to animals.​ Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. A government set a safety limit for cadmium in dry vegetables at 0.5 parts per million​ (ppm). The cadmium levels in a random sample of one species of edible mushroom are in the accompanying data set. At the 10​% significance​ level, do the data provide sufficient evidence to conclude that the mean cadmium level in this species of mushroom is greater than the​ government's recommended limit of 0.5ppm? Assume that the population standard deviation of cadmium levels in this species of mushroom is 0.45 ppm. Preliminary data analyses indicate that applying the​ z-test is reasonable.​ (Note: The sum of the data is 6.57 ppm.) 0.32 0.44 0.17 0.23 0.79 1.21 0.84 0.24 0.46 0.41 0.92 0.54 State the hypotheses for the​ one-mean z-test.H0​: μ (≠, >, <, =) ________ppmHa​: μ (≠, >, <, =) _________ppmCompute the value of the test…

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 ​adults, how many consume at least 320 mg of caffeine​ daily?

An ANOVA is used to evaluate the mean difference among three treatment conditions with a sample of n= 12 particpantsin each treatment. For study, what is df total?

When dragons on planet Dathomir lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 19% of the eggs are yellow, and the rest green. Next spring, the lead scientist has permission to randomly select 57 of the dragon eggs to incubate. Consider all the possible samples of 57 dragon eggs. What is the mean (μ) number of yellow eggs in samples of 57 eggs?(Please show your answer to 1 decimal place) What is the standard deviation (σ) in the number of yellow eggs in samples of size 57? (Please show your answer to 1 decimal place)

Find the proportion of N.d. observations with a zz-score between z_1 =z1​= -2.45 and z_2 =z2​= 2.71. Give your answer to four decimal places.

An Allied Health instructor at IVC was interested in comparing systolic blood pressure for vegetarian and nonvegetarian faculty and staff at IVC. Independent simple random samples of 85 vegetarians and 75 nonvegetarians resulted were collected. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean systolic blood pressure for vegetarians is lower than the mean systolic blood pressure for nonvegetarians? Use a significance value of 0.05. Two-Sample T-Test Standard Deviation Sample Mean Vegetarian Non- Vegetarian 85 124 39 75 139 40 Null Hypothesis, HO レ Alternative Hypothesis, H1 Test Statistic, t P-value く Significance level く Conclusion

In intaglio printing, a design or figure is carved beneath the surface of hard metal or stone. Suppose that an experiment is designed to compare differences in mean surface hardness of steel plates used in intaglio printing (measured in indentation numbers), based on two different surface conditions-untreated and treated by lightly polishing with emery paper. In the experiment, 40 steel plates are randomly assigned-20 that are untreated, and 20 that are treated. The results of the experiment are in the “Intaglio” data in Chapter 10_HW_Data.xls.   Assuming that the population variances from both conditions are equal, is there evidence of a difference in the mean surface hardness between untreated and treated steel plates? (use α = 0.05)  Determine the p-value in (a) and interpret its meaning.  In addition to equal variances, what other assumption is necessary in (a)?  Repeat Problem (a), assuming that the population variances from untreated and treated steel plates are not…

Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?