The manufacturer of a popular soft drink claims that cans of this drink contain 12 ounces.  A consumer group is suspicious of this claim and believes the amount in each can is less than 12 ounces.  A random sample of 18 cans is selected and the amount in each can is measured.  The results are as follows: 11.9     11.9     12.0     11.9     12.0     11.7     11.6     11.5     11.6    12.0     11.8     11.7     12.2     11.5     12.1     11.8     12.1     11.8 Calculate the sample standard deviation s. Round its value to two decimal places.____________

A researcher collected how many grams of fat people on a specific diet consumed at breakfast and at lunch.  The data for a sample of 8 people is shown in the table below.   xx 11.3 8.2 7.2 3.6 2.3 2.5 2.7 0.4 yy 13.7 10.7 10.2 7.2 6.3 6.5 6.1 4.1   xx = grams of fat in breakfastyy = grams of fat in lunchThis data can be modeled by the equation ˆy=0.84x+4.07.y^=0.84x+4.07.Given this, how many grams of fat in lunch would be expected for a person who consumed 1.2 grams of fat at breakfast? Round to 1 decimal place.Answer =

Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is  = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use ? = 0.10. (a) What is the level of significance? (Enter a number.) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.3 g; H1: μ > 4.3 g; right-tailed H0: μ < 4.3 g; H1: μ = 4.3 g; left-tailed…

2) Now read the following data into R. Use R for all statistical procedures. Use R studio for the test.Sample Sample A            B0.7969 1.4731 1.2669 3.2137 1.5856 2.2486 0.4959 1.1156 0.5022 10.6207 0.5524 1.983510.3060 31.2243 0.6244 3.7984 1.9789 1.4710 1.6788 9.0351(a) Make q-q plots of both samples. (b) Perform a t-test (Welch's test). (c) Perform a MWU test. (d) Which test gave you the better p-value now? Why? (e) What is a “better” p-value? Why? (f) This is two sided - why?

Random samples of students at 107 four-year colleges were interviewed several times since 1998. Of the students who reported drinking alcohol, the percentage who reported bingeing at least three times within the past two weeks was 41.1% of 336 students in 1998 and 21.6% of 843 students in 2004. a. Estimate the difference between the proportions in 2004 and 1998, and interpret. b. Find the standard error for this difference. Interpret it. c. Define the two relevant population parameters to compare in the context of this exercise. d. Construct and interpret a 90% confidence interval to estimate the true difference. e. State the assumptions for the confidence interval in part d to be valid. ... A. The number of students in the population in 2004 who reported drinking alcohol that binged at least three times within the past two weeks. B. The proportion of the student population in 1998 who reported drinking alcohol that binged at least three times within the past two weeks. C. The number…

A coffee machine dispenses coffee into paper cups. You're supposed to get 10 ounces of coffee, but the amount varies slightly from cup to cup. Here are the amounts measured in a random sample of 20 cups. 9.9 9.7 10.0 10.1 9.9 9.6 9.8 9.8 10.0 9.5 9.7 10.1 9.9 9.6 10.2 9.8 10.0 9.9 9.5 9.9 f. What is the critical value needed to use if we want to construct a 95% confidence interval? DU tis type your answer...

Several studies showed that after eating a low-fat cereal for two meals a day​, subjects had lost some weight.A cereal companyfinanced this research. Identify what is wrong. Choose the correct answer below.     A. Since the research is composed of voluntary response​ samples, there may be key data points missing.   B. The data used in the studies is not reliable because it was not measured by the administrator.   C. It is questionable that the sponsor is a cereal company because this sponsor can be greatly affected by the conclusion.   D. It is not possible to take accurate measurements.

The average spent nationally on Christmas gifts in 2020 was reported to be $650 per person. Below is a random sample of gift givers from Iowa and what they spent in 2020.    Is there sufficient evidence to conclude that Iowans spend less than the national average?         Estimate the average amount spent by Iowans on Christmas gifts in 2020 with a 90%-CI.     700 450 400 525 550 550 600 575 650 625 500