Can you please give me a step and step solution to these problems. I do not understand them. Thank you for your time and help.
1) The following data represent the scores of 50 students on a statistics exam. The mean score is 80.02. and the standard deviation is 11.9. 39 71 79 85 90 What percentage of the scores lies within one standard deviation of the mean? two standard deviations of the mean? three standard deviations of the mean? Based on these percentages. do you believe that the distribution of scores is mound-shaped and 51 T] 79 86 90 59 73 79 86 91 63 74 80 88 91 symmetric? Explain. 66 76 80 88 92 68 76 82 88 95 68 76 83 88 96 69 77 83 89 97 70 78 83 89 97 TI 79 85 89 98 1) 5) Farmers often sell fruits and vegetables at roadside stands during the summer. One such 5) roadside stand has a daily demand for tomatoes that is approximately normally distributed with a mean of 128 tomatoes and a standard deviation of 30 tomatoes. How many tomatoes must be available on any given day so that there is only a 1.5% chance that all tomatoes will be sold? 8) The overnight shipping business has skyrocketed in the last ten years. The single greatest 8) predictor of a company's success is customer service. A study was conducted to determine the customer satisfaction levels for one overnight shipping business. In addition to the customer's satisfaction level, the customers were asked how often they used overnight shipping. The results are shown below in the following table: Satisfaction level Frequency of Use High Medium Low TOTAL 5 per month 70 25 5 100 TOTAL 460 220 20 700 A customer is chosen at random. Given that the customer uses the company two to five times per month, what is the probability that the customer expressed low satisfaction with the company? 9) A local newspaper claims that 70% of the items advertised in its classifieds section are sold 9) within 1 week of the first appearance of the ad. To check the validity of the claim, the newspaper randomly selected n = 25 advertisements from last year's classifieds and contacted the people who placed the ads. They found that 14 of the 25 items sold within a week. Based on the newspaper's claim, is it likely to observe x s 14 who sold their item within a week? 10) A random sample of 50 employees of a large company was asked the question, "Do you 10) participate in the company's stock purchase plan?" The answers are shown below. yes no no yes no no yes yes no no no yes yes yes no Yes no no yes yes no yes yes no yes yes no yes yes yes yes no no yes yes yes yes yes no yes no yes yes no yes yes yes yes yes yes Use a 90% confidence interval to estimate the proportion of employees who participate in the company's stock purchase plan. 16) Sales of a new line of athletic footwear are crucial to the success of a newly formed 16) company. The company wishes to estimate the average weekly sales of the new footwear to within $150 with 99% reliability. The initial sales indicate that the standard deviation of the weekly sales figures is approximately $1550. How many weeks of data must be sampled for the company to get the information it desires
