Problem 36. Suppose T is a normal operator on V. Suppose also that v, w e V satisfy the equations || = ||1|| = 2, Tv = 3v, Tw = 4w. Show that ||T (v + w)|| = 10.
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- A research center claims that at least 28% of adults in a certain country think that their taxes will be audited. In a random sample of1000 adults in that country in a recent year, 23%say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of adults in the country think that their taxes will be audited. B. Less than nothing% of adults in the country think that their taxes will be audited. C. At least nothing% of adults in the country think that their taxes will be audited. D. The percentage of adults in the country who think that their taxes will be audited is not nothing%. Let p be the population proportion of…Julia is a boutique shop owner in her town. Due to covid-19 pandemic, wearing a facemask of a person is required for their safety. Since there are limited stocks available, she decided to start another business by making a facemask. She started selling facemask from day 1 to day 10. The data she collected is shown in the table belowA municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.
- A research center claims that at least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who think that their taxes will be audited is not enter your response here%. B. enter your response here% of adults in the country think that their taxes will be audited. C. Less than enter your response here% of adults in the country think that their taxes will be audited. D. At least enter your response here% of adults in the country think…A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…A research center claims that at least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year, 28% say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. ______% of adults in the country think that their taxes will be audited. B. The percentage of adults in the country who think that their taxes will be audited is not ______%. C. Less than ______% of adults in the country think that their taxes will be audited. D. At least ______% of adults in the country think that their taxes will be audited. (b) Find the critical value(s) and identify the rejection region(s). (c)…
- It has been noted that the amount of time people spend shopping in supermarkets incountry X has decreased due to the discovery of a new strain of Covid19. Based onthis realization,the manager of Power Supermarket decided to collect data for thelength of time people spend in his supermarket during a one week period. He is aimingto use the data to help him decide if the supermarket should be converted to a virtualsupermarket/a delivery based one.a. Use the information below to construct two frequency polygons.b. Do you think that Power Supermarket should close their doors?Explain your answer.*Assume that a person who spends more time in a supermarket buys a lot of goods anda person who spends a short time in a supermarket,buys few goods Beforethepandemic: Time Frequency1-5 506-10 2511-15 2216-20 8021-25 6026-30 4531-35 3 After the pandemic:Time Frequency1-5…A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1100 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. B. 3030% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could…A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1100 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. B. enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial…
- A research center claims that at least 23% of adults in a certain country think that their taxes will be audited. In a random sample of 1000 adults in that country in a recent year, 19% say they are concerned that their taxes will be audited. At α=0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha.A research center claims that more than 25 % of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At alpha equals0.05 , is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0 and Upper H Subscript a . Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing % of employees in the country have changed jobs in the past four years. B. More than nothing % of employees in the country have changed jobs in the past four years. C. nothing % of employees in the country have changed jobs in the past four years. D. The percentage of employees in the country who have changed jobs…A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.