1.) Given the data set \ 50,5,12,13,15,18,22,6\ Determine the 90th percentile. 2.)Given the data set \ 50,5,12,13,15,18,22,6\ Determine the interquartile range. 3.)A manufacturer estimates that 0.25% of his outputs of a component are defective. The components are marked in a packet of 200. Using Poisson's distribution, determine the probability of a packet contains only 2 defective components.
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- In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05 level of significance.What is the hypothesized population proportion for this test?suggest a statistical tool given that sample size is 40, and non parametric significant difference between the set of factors identified by the 3rd year management students that would affect their choice of a minor degree and the set of factors identified by the 4th year management students that affected their choice of a minor degreeAn officer was appointed by the Malaysia Energy Commission to study thedifference between old and new electricity meter for Malaysia households. Hecollected the electric usage before and after changing the electricity meterfrom 2000 households in Perak and Selangor. The summary of the data isshown by the histograms and box plats below. State the population of the above study. Hence, comment on the errorof the above sample.
- In a certain school district, it was observed that 34% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 148 out of 391 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.02 level of significance. a. What is the hypothesized population proportion for this test? p=(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) b. Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion? z=z=(Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal…In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 119 out of 346 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05 level of significance.What is the hypothesized population proportion for this test? p=(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test? or two-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) H0:p=0.29Ha:p<0.29 H0:p=0.29Ha:p≠0.29 H0:p=0.29Ha:p>0.29 (D) (E) (F) H0:p=0.344Ha:p<0.344 H0:p=0.344Ha:p≠0.344 H0:p=0.344Ha:p>0.344…In a certain school district, it was observed that 32% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 154 out of 437 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05 level of significance.What is the hypothesized population proportion for this test? p= (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) H0:p=0.32 Ha:p<0.32 H0:p=0.32 Ha:p≠0.32 H0:p=0.32 Ha:p>0.32 (D) (E) (F) H0:p=0.352 Ha:p<0.352 H0:p=0.352…
- In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 92 out of 265 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05α=0.05 level of significance.What is the hypothesized population proportion for this test?p=___________(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion?z=___________(Report answer as a decimal accurate to 3 decimal places.)You are now ready to calculate the P-value for this sample.P-value = _____________(Report answer as a…In a certain school district, it was observed that 33% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 140 out of 354 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01 level of significance.What is the hypothesized population proportion for this test?p=(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) H0:p=0.33H0:p=0.33Ha:p<0.33Ha:p<0.33 H0:p=0.33H0:p=0.33Ha:p≠0.33Ha:p≠0.33 H0:p=0.33H0:p=0.33Ha:p>0.33Ha:p>0.33 (D) (E) (F)…In a certain school district, it was observed that 25% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 124 out of 428 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.02 level of significance.What is the hypothesized population proportion for this test?p=(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) H0:p=0.25H0:p=0.25Ha:p<0.25Ha:p<0.25 H0:p=0.25H0:p=0.25Ha:p≠0.25Ha:p≠0.25 H0:p=0.25H0:p=0.25Ha:p>0.25Ha:p>0.25 (D) (E) (F)…
- The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study, the department needs to estimate the average number of vehicles that pass an intersection each day. One of the department’s officer (Officer A) claims that on average, more than 15,000 cars passing the intersection. On the other hand, Officer B claims that on average, 18,000 cars passing the intersection. Meanwhile, a random sample of 64 days gives a sample mean of 14,205 cars and a sample standard deviation of 1,010 cars. Test both claim at 0.05 level of significance. Use the critical value approach and show the complete calculation steps for each testing. Whose claim is true? a)Testing Officer A’s claim State the hypotheses, find critical value and state the decision rule, compute the test value, make decision, conclusion. b) Testing Officer B’s claim State the hypotheses, find critical value and state the decision rule, compute the test value, make decision,…In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 119 out of 336 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01level of significance. a. What is the hypothesized population proportion for this test? p=(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) b. Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for this sample based on the sample proportion? z=(Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal places.)Construct a sample (with at least two different values in the set) of 3 measurements whose mean is 16. If this is not possible, indicate "Cannot create sample"
