There is a brother and sister, Jen and Betty, are among the 7 men and 5 women. (iii) Find how many different committees of four could be selected so that there are two male and two female members which must include either Jen or Betty but not both.

A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot.   Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other? Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective…

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A report just came out that stated that 21.3% of all Americans say that vanilla is their favorite ice cream, 23.1% say that chocolate is their favorite, 9.1% favor butter pecan, 10% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 905 of her patrons' ice cream selections. What can be concluded at the a = 0.05 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Ice Cream Frequency Expected Frequency Outcome Vanilla 172 Chocolate 195 Butter Pecan 75 Strawberry 86 Other 377 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Но: Favorite ice cream and where the ice cream is purchased are independent. Favorite ice cream and where the ice cream is purchased are dependent. The distribution of favorite ice…

Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis.   Research Question   Do the mean job satisfaction scores differ for men and women working in the hospital administration department?   Hypothesis- The mean job satisfaction scores do not differ for men and women working in the hospital administration department.   Write a Results section based on your analysis. Interpret results of…

You are to submit 2 real life examples of statistical statements and state if they are biased or unbiased Example: A toothpaste advertisement states that 3 or 4 people prefer their product. This could be a biased survey, one that is not based on a random sample. They could have asked exactly 4 people about their product. An unbiased sample accurately represents the population. Each member of the population is equally to be chosen Example: A person wants to find out how many people prefer chocolate of vanilla ice cream. To get an unbiased sample, she would pick out a few of the ice cream shops in her town and survey people leaving the establishment.

Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis.   Research Question   Do the mean job satisfaction scores differ for men and women working in the hospital administration department?   Hypothesis   The mean job satisfaction scores do not differ for men and women working in the hospital administration department.     Compute an independent sample t test on these data. Report…

We survey 200 students, and ask each whether they like donuts, pizza, and/or tacos. Every student liked at least one of them. - 100 students liked donuts - 80 students liked pizza - 100 students liked tacos - 10 students liked all three options How many students liked exactly two of the options? Type your answer.

Question 3 A company has 13 employees, and wants to create a team of 7 employees to work on a new project. The order of selection of the employees does not matter. How many different teams could be formed? You should show your work for this problem. > Next Question

PLEASE HELP SOLVE THE PROBLEM BELOW A candy manufacturer selects mints at random from the production line and weighs them. For one week, the day shift weighed n1 = 194 mints and the night shift weighed n2 = 162 mints. The numbers of these mints that weighed at most 21 grams was y1 = 28 for the day shift and y2 = 11 for the night shift. Let p1 and p2 denote the proportions of mints that weigh at most 21 grams for the day and night shifts, respectively. Give a point estimate of p1 Give the 95% confidence interval for p1 Give a point estimate of p1 − p2 Find the 95% confidence interval for p1 − p2