Could you solve the questions please? THANK YOU VERY MUCH!!!
(i) What is sampling variability? Why do we care? We sampling distribution? Why do we care? '- ' ' ________________ A father has four sons, with heights of 68, 71, 72, and 75 inches. the sample mean height 2' for samples of size n = 2. \"'75 ' ' Detmine the sampling distribution of . Sampling Variability - As we saw in the hvena problem, the various samples for any given population produced different sample proportions. This basic fact is called sampling variability. In the hvena experiment, we: . Took repeated samples from the same population, 0 Calculated the sample proportion p for each sample, - Made a graph of the values of the statistic, - Examined the distribution displayed in the graph for shape, center, and spread, as well as outliers and other deviations. Suppose one group in the hvena experiment took 35 samples of size 20 and their results are shown in the dotpiot below. a e o a 01 0.2 . 0.3 0.4 0.5 0.6 0.7 0.8 0.9 D630" lag : f, q. shape: It... 0.....- 00! to... O... Suppose one group in the hyena experiment took 35 samples of size 20 and their results are shown in the dotplot below. 0...... 60... .... 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Describe : a . Shape: b. Center: C . Spread: - Outliers: A large pet store that specializes in tropical fish has several thousand guppies. The store claims that the guppies have a mean length of 5 cm and a standard deviation of 0.5 cm. You come to the store and buy 10 randomly-selected puppies and nd that the mean length of your 10 gupples Is iii-cm. This makes you suspect that the mean sh length is not what the store says it is. To explore this further, you assume that the length of guppies is Normally distributed and use a computer to simulate 200 samples of 10 guppies from the store's claimed population. Below is a dotplot of the means from these 200 samples. {a} What is the population in this situation, and what population parameters have we been given? (b) The distribution of one sample is described in the opening paragraph. What Information have we been given about this sample? [cl Is the dotplot above a sampling distribution? Explain. id} Do you think the store is being honest about the length of its guppies? Justify your answer. ____________________ 9 Suppose that in a certain community, 40% of the residents would answer \"Yes" to the question, \"Do you know the names of' at least ve other people who live on your block?\" Suppose you plan to take a random sample of 100 people from this community and calculate the proportion of people in your sample whose response to this question is \"Yes". (a) What are the parameter and the statistic in this situation? (b) What does the sampling distribution of this statistic describe? {c} What does it mean to say that the statistic in this case is a unbiased glimmer of the parameter? {d} Suppose that in a much larger community, 40% of the residents would also answer "Yes" to the question. Ifyou took a sample of lull individuals 'orn this much larger community, would the sampling distribution of the statistic be different? In what way? (e) If you took a sample of 50 individuals instead of 130 item the original conununity, would the sampling distribution of the statistic change? In what way
