A nutritionist claims on the mean tuna consumption

  . A nutritionist claims that the mean tuna consumption by a person is 3.7 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.04 pounds. At α=0.1​, can you reject the​ claim? A. ​(a) Identify the null hypothesis and alternative hypothesis. b. ​(b) Identify the standardized test statistic. C. Find the P-value.(Round three decimal places) D. Decide whether to reject or fail to reject the null hypothesis. 8. A politician claims that the mean salary for managers in his state is more than the national​ mean, ​$81,000. Assume the the population is normally distributed and the population standard deviation is ​$9700. The salaries​ (in dollars) for a random sample of 30 managers in the state are listed. At α=0.04​, is there enough evidence to support the​ claim? Use technology. 99,762 98,089 84,437 73,166 71,971 94,866 71,104 80,791 87,953 78,764 93,610 71,713 89,548 76,385 79,070 96,585 76,672 74,212 99,474 98,950 86,059 76,705 86,761 92,223 76,693 79,997 98,683 76,778 82,752 81,839 a. ​Identify the null hypothesis and alternative hypothesis. b. Identify the standardized test statistic. c. Find the P-Value d. Decide whether to reject or fail to reject the null hypothesis 9. Use technology and a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. ​Claim: μ>74​; α=0.01    Sample​ statistics: x=74.2​, s=3.6​, n=27 What are the null and alternative​ hypotheses? Choose the correct answer below. a. What is the value of the standardized test​ statistic? b. What is the standardized test statistic is? c.The P-Value is? d. Do we reject the null hypothesis? 13. A research center claims that 25​% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that​ country, 28​% say that they would travel into space on a commercial flight if they could afford it. At α=0.01​, is there enough evidence to reject the research​ center's claim? a. Z= b. P= C. Tell whether it rejects or fails d. Calculate Test Statistic. e. Determine level of significance of hypothesis test.   14. A humane society claims that less than 65​% of households in a certain country own a pet. In a random sample of 800 households in that​ country, 488 say they own a pet. At α=0.01​, is there enough evidence to support the​ society's claim? a. Z= b. P= c. Calculate Test Statistic. d. Determine level of significance of hypothesis test. e. Tell whether it rejects or fails