C) Z> 1.96 Q13. If n = 32,0 = 5.15, = 26.2, a = 0.1. In t A) Z> 1.645 B) Z<-1.645 or Z> 1.645 D) Z<-1.96 or Z> 1.96
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- A random sample of 663 teens who said they did not typically eat fast food reported an average daily calorie intake of 2258, with standard deviation 1519. A random sample of 413 teens who said they did typically eat fast food reported an average daily calorie intake of 2637, with standard deviation 1138. The two populations are not terribly skewed. Based on the above description, which of the following conditions are met for conducting a hypothesis test for the equality of two means? Choose one or more that apply. Select one or more: a. Both samples are random b. Samples are independent of one another c. Both samples are normal enough given the sample size d. Two population means need to be the sameSuppose it was found that in a random sample of 200 individuals who were underweight (defined as having a BMI of under 18.5), 8 of them were hospitalized with COVID-19. Of a corresponding group of 400 individuals who were classified as severely obese (defined as having a BMI of at least 45.0), 32 were hospitalized with COVID-19. (a) What is the 95% confidence interval for the difference between proportions (to 4 decimal places)? (b) Based on your result in (a), would you reject or fail to reject the null hypothesis? Why do you conclude this?A national opinion poll found that 44% of all American adults agree that parents should be given vouchers that are good for education at any public or private school of their choice. The result was based on a small sample. How large of a sample is required to obtain a margin of error of 0.03 in a 99% confidence interval? a. Use the national opinion poll from a previous study to find the sample size: b. Use the conservative guess of p = 0.5 to calculate the sample size:
- 14) The bottlers of a new fruit juice daily select a random sample of 12 bottles of the drink to estimatethe mean quantity of juice in the bottles filled that day. On one such day, a sample was taken witha sample mean of 12.03 and a sample standard deviation of 0.12. Based on this information, whatis the margin of error associated with a 90 percent confidence interval estimate for the populationmean, if the population standard deviation has historically been 0.07?Suppose it was found that in a random sample of 200 individuals who were underweight (defined as having a BMI of under 18.5), 8 of them were hospitalized with COVID-19. Of a corresponding group of 400 individuals who were classified as severely obese (defined as having a BMI of at least 45.0), 32 were hospitalized with COVID-19. (a) What is the 95% confidence interval for the difference between proportions (to 4 decimal places)?A random sample of 40 Northern California households yields an average size of 3.21 persons with a s.d. of 0.61 persons. (a)Construct a 95% c.i. for the overall average size of Northern California households.(b)If 600 such confidence intervals are constructed, how many of them are expected to contain the true value of the overall average size of Northern California households?
- The security department of a factory wants to knowwhether the true average time required by the night guard to walk his round is 30 minutes. If, in a ran-dom sample of 32 rounds, the night guard averaged 30.8 minutes with a standard deviation of 1.5 minutes, deter-mine whether this is sufficient evidence to reject the null hypothesis μ = 30 minutes in favor of the alternative hypothesis μ Z 30 minutes. Use the four steps in the ini-tial part of Section 1 and the 0.01 level of significance.From a large number of actuarial exam scores, a random sample of 275 scores is selected, and it is found that 206 of these 275 are passing scores. Based on this sample, find a 90% confidence interval for the proportion of all scores that are passing. Then complete the table below. Carry the intermediate computations to at least three decimal places. Round the answers to two decimal places. (a) What is the lower limit of the 90% confidence interval? (b) What is the upper limit of the 90% confidence interval?4. The EPA wants to test a randomly selected sample of n water specimens and estimate the mean daily rate of pollution produced by a mining operation. If the EPA wants a 95% confidence interval with a bound of error of 2 milligram per liter (mg/L), how many water specimens are required in the sample? Assume prior knowledge indicates that pollution readings in water samples taken during a day have been approximately normally distributed with a standard deviation of 5.3 (mg/L). n=
- On the Navajo Reservation, a random sample of 214 permanent dwellings in the Fort Defiance region showed that 58 were traditional Navajo hogans. In the Indian Wells region, a random sample of 151 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 90% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit upper limitA survey at a certain university found that 21 out of a random sample of 350 students had over $6,000 in credit card debt with a 90% confidence level of 0.04 to 0.08 If we would like the margin of error to be within 0.01, how large should the sample size be? ( Use P=0.5 for a conservative estimate.)In a previous study, it was found that p hat=.73 for a particular sample. Suppose we would like to repeat this study. Give the sample size n, required to have the margin of error equal to .01, at the 98% confidence level.