Last year's mean hourly wage (in dollars) for all hospital clerical workers in a large state was 7. An administrator for the state believes that this year's mean hourly wage for hospital clerical workers is greater than last year's mean. She hires statisticians to sample a number of hospital clerical workers and to carry out a hypothesis test. State the null hypothesis Ho and the alternative hypothesis H, that would be used for this test. Ho: 0 H₁: 0 μ P 09 X O Р S □口

A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes. He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.61 minutes and the standard deviation was 0.75 minutes. Using this sample information, conduct the appropriate hypothesis test at the 0.05 level of significance. Assume normality. a) What are the appropriate null and alternative hypotheses? Но: х = 5 versus Ha: x # 5 5 versus Ha: H 5 Но: и Но: и 5 versus Ha: l # 5 b) What is the test statistic? Give your answer to four decimal places. -2.0140 c) What is the P-value for the test? Give your answer to four decimal places. 1.9560 X d) What is the appropriate conclusion? Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.05 Fail to reject the claim that the…

A magazine reported that at the top 50 business schools in a​ region, students studied an average of 12.5 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 12.5 hour benchmark. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. State the null and alternative hypotheses. Choose the correct answer below.     A. H0​: α=12.5 H1​: β≠12.5     B. H0​: α≠12.5 H1​: α=12.5     C. H0​: α=12.5 H1​: α≠12.5     D. H0​: μ=12.5 H1​: X≠12.5     E. H0​: μ≠12.5 H1​: X=12.5     F. H0​: β≠12.5 H1​: β=12.5     G. H0​: μ=12.5 H1​: μ≠12.5     H. H0​: X=12.5 H1​: X≠12.5     I. H0​: α≠12.5 H1​: β=12.5     J. H0​: X≠12.5 H1​: X=12.5     K. H0​: μ≠12.5 H1​: μ=12.5     L. H0​: β=12.5 H1​: β≠

State the null and alternative hypotheses. John, a restaurant owner, suspects that prices of tomatoes in Bury are higher than the rest of Manchester. He finds that the city average price of a certain type of premium tomatoes is £20.9 with standard deviation £0.95. He takes a sample of this type of tomato from 5 local Bury stores and obtains an average price of £22.46.