Test the following claim. identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. a manual states that in order to be a hit, a song must be no longer than three minutes and twenty seconds (or 200 seconds). a simple random sample of 40 current hit songs results in a mean length of 245.0 sec. assume the population standard deviation of song lengths is 53.5 sec. use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 200 sec. what do these result suggest about the advice given in the manual? what are the null and alternative hypotheses? a. h0: muequals200 sec h1: mugreater than200 sec b. h0: mugreater than200 sec h1: muless than200 sec c. h0: mugreater than200 sec h1: muequals200 sec d. h0: muless than200 sec h1: mugreater than200 sec what is the value of the test statistic? zequals nothing (round to two decimal places as needed.) identify the critical value(s) of z. zequals nothing (round to three decimal places as needed. use a comma to separate answers as needed.) ▼ reject fail to reject h0. there ▼ is is not sufficient evidence to support the claim that the sample is from a population of songs with a mean greater than 200 sec. this result suggest that the advice given in the manual ▼ is is not sound.

What is the length of the segment, endpoints of which are intersections of parabolas y=x2? 11 4 x? 7 4 and y=? 7 8 x2+x+ 31 8 ?

If you apply the changes below to the linear parent function f(x)=x what is the equation of the new function vertically stretched by a factor of 3 flip over the x axis

In january 2010, you began a one-year study of tuberculosis (tb) in a subsidized housing community in the lower east side of new york city. you enrolled 500 residents in your study and checked on their tb status on a monthly basis. at the start of your study on january 1st, you screened all 500 residents. upon screening, you found that 30 of the healthy residents had been vaccinated for tb and therefore were not at risk. another 20 residents already had existing cases of tb on january 1st. on february 1st, 5 residents developed tb. on april 1st, 10 more residents developed tb. on june 1st, 10 healthy residents moved away from new york city and were lost to follow-up. on july 1st, 10 of the residents who had existing tb on january 1st died from their disease. the study ended on december 31, 2010. assume that once a person gets tb, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up. is the subsidized housing community in the lower east side of new york city a dynamic or fixed population? briefly explain the rationale for your answer. dynamic population it can changeable people can move out and move in into the population of a subsidized housing what was the prevalence of tb in the screened community on january 1st? prevalence = 30/500 0.06= 6% what was the prevalence of tb on june 30th? prevalence= 40/450=0.08= 8.88% what was the cumulative incidence of tb over the year? cumulative incidence = number of new cases/number in candidate population)over specified time period 10/450 = 2.2% suppose that you wanted to calculate the incidence rate of tb in the study population. calculate the amount of person-time that would go in the denominator of this incidence rate. be sure to show your work.