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Assignment 4 QUESTIONS WITH
CORRECT ANSWER 2025.
Parameter - ANSWERS Average household income for all houses in the US, using data from the US Census. (a) State whether the quantity described is a parameter or a statistic μ - ANSWERS Average household income for all houses in the US, using data from the US Census. (b) Give the correct notation. Statistic - ANSWERS Proportion of people who use an electric toothbrush, using data from a sample of 400 adults. (a) State whether the quantity described is a parameter or a statistic. p̂ (p-hat) - ANSWERS Proportion of people who use an electric toothbrush, using data from a sample of 400 adults. (b) Give the correct notation. p - ANSWERS Proportion of families in the US who were homeless in 2010. The number of homeless families in 2010 was about 170,000 while the total number of families is given in the 2010 Census at 78 million. (a) Give the correct notation for the quantity described. .00218 - ANSWERS Proportion of families in the US who were homeless in 2010. The number of homeless families in 2010 was about 170,000 while the total number of families is given in the 2010 Census at 78 million.
(b) Give the value of the quantity described. Round your answer to five decimal places. μ = 85, SE = 20 - ANSWERS Figure 1 shows sample means from 500 samples of size n equals 30 from a population. Estimate the value of the population parameter and estimate the standard error for the sample statistic. Round your answers to the nearest integer. (See: https://imgur.com/djfsbzx) x ̄= 70: reasonably likely to occur x ̄= 100: reasonably likely to occur x ̄= 140: unusual but might occur occasionally - ANSWERS Using the sampling distribution shown in Figure 1, indicate whether each sample proportion is (i) reasonably likely to occur from a sample of n equals 30, (ii) unusual but might occur occasionally, or (iii) extremely unlikely to ever occur. (See: https://imgur.com/djfsbzx) n = 20: Graph A n = 100: Graph B n = 500: Graph C - ANSWERS The US Census indicates that 35 % of US residents are less than 25 years old. Figure 1 shows possible sampling distributions for the proportion of a sample less than 25 years old, for samples of size n = 20, n = 100, and n = 500. (See: https://imgur.com/WkerzRP) (a) Which distribution goes with which sample size? No, Yes, Yes - ANSWERS The US Census indicates that 35 % of US residents are less than 25 years old. Figure 1 shows possible sampling distributions for the proportion of a sample less than 25 years old, for samples of size n = 20, n = 100, and n = 500. (See: https://imgur.com/WkerzRP)
- 4 to 14 - ANSWERS Construct an interval estimate for the given parameter using the given sample statistic and margin of error. For μ 1 minus μ2, using x1̄ minus x2̄ equals 5 with margin of error 9. p - ANSWERS Information about a sample is given. Assume that the sampling distribution is symmetric and bell-shaped. p̂ equals 0.31 and the standard error is 0.03. (a) Indicate the parameter being estimated. .25 to .37 - ANSWERS Information about a sample is given. Assume that the sampling distribution is symmetric and bell-shaped. p̂ equals 0.31 and the standard error is 0.03. (b) Use the information to give a 95% confidence interval. 0.7 - ANSWERS Use the bootstrap distributions in Figure 1 to estimate the point estimate and standard error, and then use this information to give a 95 % confidence interval. In addition, give notation for the parameter being estimated. The bootstrap distribution in Figure 1, generated for a sample proportion. (See: https://imgur.com/OinPnJy) (a) Give the point estimate for the parameter being estimated. Round your answer to one decimal place. 0.1 - ANSWERS Use the bootstrap distributions in Figure 1 to estimate the point estimate and standard error, and then use this information to give a 95 % confidence interval. In addition, give notation for the parameter being estimated. The bootstrap distribution in Figure 1, generated for a sample proportion. (See: https://imgur.com/OinPnJy) (b) Estimate the standard error. Round your answer to one decimal place. .5 to .9 - ANSWERS Use the bootstrap distributions in Figure 1 to estimate the point estimate and standard error, and then use this information to give a 95 % confidence interval. In addition, give notation for the parameter being estimated. The bootstrap distribution in Figure 1, generated for a sample proportion.
(See: https://imgur.com/OinPnJy) (c) Give the 95 % confidence interval. Round your answers to one decimal place. p - ANSWERS Use the bootstrap distributions in Figure 1 to estimate the point estimate and standard error, and then use this information to give a 95 % confidence interval. In addition, give notation for the parameter being estimated. The bootstrap distribution in Figure 1, generated for a sample proportion. (See: https://imgur.com/OinPnJy) (d) Give notation for the parameter being estimated. standard error = 0. The confidence interval is 0.662 to 0.778 - ANSWERS Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then use the standard error to give a 95 % confidence interval for the proportion of the population to agree with the statement. StatKey tip: Use ''CI for Single Proportion" and then ''Edit Data" to enter the sample information. In a random sample of 250 people, 180 agree. Estimate the standard error. Round your answer to three decimal places. Find the 95 % confidence interval. Round your answers to three decimal places. 461 to 751 - ANSWERS Saab, a Swedish car manufacturer, is interested in estimating average monthly sales in the US, using the following sales figures from a sample of five months: 658, 456, 830, 696, 385. Use StatKey or other technology to construct a bootstrap distribution and then find a 95 % confidence interval to estimate the average monthly sales in the United States. Round your answers to the nearest integer. 17.12 - ANSWERS Researchers suspect that drinking tea might enhance the production of interferon gamma, a molecule that helps the immune system fight bacteria, viruses, and tumors. A recent study involved 21 healthy people who did not normally drink tea or coffee. Eleven of the participants were randomly assigned to drink five or six cups of tea a day, while 10 were asked to drink the same amount of coffee. After two weeks, blood samples were exposed to an antigen and production of interferon gamma was measured. The results are shown in Table 1 and are available in ImmuneTea. We are interested in estimating the effect size, the increase in average interferon gamma production for drinking tea when compared to coffee.
5% - ANSWERS To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail. Indicate what percent of values must be chopped off from each tail for each confidence level given. Enter the exact answers to all parts. (b) 90% 1% - ANSWERS To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail. Indicate what percent of values must be chopped off from each tail for each confidence level given. Enter the exact answers to all parts. (c) 98% .5% - ANSWERS To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail. Indicate what percent of values must be chopped off from each tail for each confidence level given. Enter the exact answers to all parts. (d) 99% .234 to .312 - ANSWERS The following gives information about the proportion of a sample that agree with a certain statement. Use StatKey or other technology to find a confidence interval at the given confidence level for the proportion of the population to agree, using percentiles from a bootstrap distribution. StatKey tip: Use ''CI for Single Proportion" and then ''Edit Data" to enter the sample information. Find a 90 % confidence interval if 112 agree and 288 disagree in a random sample of 400 people. Round your answers to three decimal places. Use 1000 samples. 100 - ANSWERS A sample of 10 IQ scores was used to create the bootstrap distribution of sample means in Figure 1. (See: https://imgur.com/5sqt3Tv) (a) Estimate the mean of the original sample of IQ scores. Round your answer to the nearest integer.
87 to 113 - ANSWERS A sample of 10 IQ scores was used to create the bootstrap distribution of sample means in Figure 1. (See: https://imgur.com/5sqt3Tv) (b) The distribution was created using 1000 bootstrap statistics. Use the distribution to estimate a 99 % confidence interval for the mean IQ score for the population. Round your answers to the nearest integer. 27.4 and 81.1 - ANSWERS An interval estimate was constructed for mean penalty minutes given to NHL players in a season using data from players on the Ottawa Senators as our sample. Some percentiles from a bootstrap distribution of 1000 sample means are shown below. Use this information to find a 99 % confidence interval for the mean penalty minutes of NHL players. Assume that the players on this team are a reasonable sample from the population of all players. Enter the exact answers. (See: https://imgur.com/JNPlIt4)
