You are a senior in the agricultural sciences department of NCSU doing an internship at a local dairy farm. Farmer Bill is an expert dairy farmer but has no background in quantitative decision making. Bill claims that the milk produced by his grass-fed Jersey cattle has higher protein content than the milk made by his grain-fed Jersey cattle. His evidence? He says he can taste the difference. You decide to put Bill's claim to the test. You randomly sample 21 grass-fed Jersey cattle and 18 grain- fed Jersey cattle, independently of one another, and obtain a sample of milk from each cow. Both histograms appear approximately normal. You test Ho : 41 = Hz VS. HA : 1 > Hz, where i is the true mean protein content of milk produced by grass-fed Jersey cattle and µz is that for the grain-fed cattle. Your test statistic is 1.98. Based on this information, which of the following is true ? Select one or more: O a. The sample mean protein content for the milk samples from the grass-fed cattle you collected was greater than the sample mean protein content for the milk samples from grain-fed cattle you collected. O b. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein content of milk from grass-fed cattle is greater than the population mean protein content of milk from grain-fed cattle, based on the collected sample. O c. A 90% confidence interval for 1 – H2 calculated based on the collected sample would contain 0. O d. The population mean protein content of milk from grass-fed cattle is greater than the population mean protein content of milk from grain-fed cattle. O e. There is sufficient evidence at an a = 0.05 level to suggest the population mean protein content of milk from grass-fed cattle is equal to the the population mean protein content of milk from grain-fed cattle, based on the collected sample.

A clinical psychologist is interested in the effect of a new treatment for treating depression. She randomly divides her clients into two groups. One group receives the new treatment and the other group receives the old treatment (control group).  At the end of treatment, she assesses the severity of their depression on a scale ranging from 0 to 20 (higher scores indicate greater depression). Was there a significant difference in depression scores between the two treatments?   New Treatment Old Treatment 2 7 5 10 3 6 8 8 11 4 4 8 6 10 4 4

Español An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to include a smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version of the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 250 patients who use the new version is selected by the researcher, and 143 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) An (a) State the null hypothesis Ho and the alternative hypothesis H. H : 区 H, : (b) Determine the type of test statistic to use. (Choose one) (c) Find…

2. A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago. Five years ago, a sample of 270 students showed that 120 considered themselves overweight. This year a poll of 300 students showed that 140 considered themselves overweight. At a 5% level of significance, test to see if there is any difference in the proportion of college students who consider themselves overweight between the two polls. What is your conclusion?

Beer and blood alcohol content. Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood. The scatterplot and regression table summarize the findings.   (a) Describe the relationship between the number of cans of beer and BAC.(b) Write the equation of the regression line. Interpret the slope and intercept in context.(c) Do the data provide strong evidence that drinking more cans of beer is associated with an increase inblood alcohol? State the null and alternative…

Are these samples independent or paired? Part 1 of 2 A group of eight individuals with high cholesterol had their cholesterol levels measured before the morning meal. Another group of eight individuals with high cholesterol had their cholesterol levels measured before the evening meal. The samples are (Choose one) ▼ Part 2 of 2 A group of eight individuals with high cholesterol had their cholesterol levels measured in the morning and in the evening for one week. The samples are (Choose one) ▼ X independent paired

You want to compare males and females in their use of coping strategies when engaged in conflict in relationships. You send surveys to couples obtained from marriage license application at the county clerk's office. You identify several distinct coping strategies on the survey and have the respondents rate their use of each strategy on a 7-point scale. You then compare scores that come from the two members of each relationship. If testing hypotheses about the effects of gender on use of coping strategies, it would be most appropriate to calculate a ... 1) independent-samples t 2) one sample t 3) paired samples t 4) z test

There are many over-the-counter pain relievers. By the end of the semester, you have a tremendous headache and are looking for the most effective pain relief – too much statistics homework!  You conduct a study comparing the two most popular pain relievers and a placebo to see which works best. You use only subjects with headaches and record the amount of time (in minutes) it takes for their headache to go away after they receive medication. What statistical analysis should you perform? State the hypotheses. State the df and critical value. State the test statistic and value. State your conclusion – using the APA format

The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Italian Seafood Steakhouse $12 $16 $24 13 18 19 15 17 23 17 26 25 18 23 21 20 15 22 17 19 27 24 18 31 Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses. O Ho: ralian * lseafood * lsteakhouse H: talian = lSeafood = ASteakhouse O Ho: Not all the…

how do i solve for parts b, d, and e?