--%>
Assignment Help - homework help

State the hypotheses

At Western University the historical mean of scholarship examination score for freshman applications is 900. Population standard deviation is assumed to be known as 180. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.

a) State the hypotheses.

b) What is the 95% confidence interval estimate of the population mean examination score if a

sample of 100 applications provided a sample mean 935?

c) Use the confidence interval approach to conduct a hypothesis test. What is your conclusion?

d) Assuming α = .05, conduct p-value based and critical-value based hypothesis tests. How do the results compare in all the three cases?

 

E

Expert

Verified

(a)

Null Hypothesis H0: µ =900

Alternative Hypothesis H1: µ ≠ 900

(b)

C.I for mean = [X-bar - Z*SD/  < µ < X-bar + Z*SD/  ]

                       = [935 - 1.96*180/10 < µ < 935 + 1.96*180/10]

                       = [899.72, 970.28]

(c)

900 is just within the interval at lower end, so we can't reject null hypothesis.

(d)

Z-statistic = (935-900)/180/

                   = 1.94

1.94 is neither greater than 1.96 nor smaller than -1.96 so we can not reject null hypothesis. P-value will be slightly greater than level of significance α.

 

   Related Questions in Basic Statistics

  • Q : Spss in Business and Management Please

    Please tell me the cost of this current assignment. Note : I do not want the Solutions but please tell me the price as the assignment is .. Is the cost 3 euro? Do you sell those questions?

    		•
  • Q : Get Solved LP Problems Solve Linear

    Solve Linear Programming Questions A producer manufactures 3 models (I, II and III) of a particular product. He uses 2 raw materials A and B of which 4000 and 6000 units respectively are obtainable. The raw materials per unit of 3

    		•
  • Q : State the hypotheses At Western

    At Western University the historical mean of scholarship examination score for freshman applications is 900. Population standard deviation is assumed to be known as 180. Each year, the assistant dean uses a sample of applications to determine whether the mean ex

    		•
  • Q : Calculate the p- value Medical tests

    Medical tests were conducted to learn about drug-resistant tuberculosis. Of 284 cases tested in New Jersey, 18 were found to be drug- resistant. Of 536 cases tested in Texas, 10 were found to be drugresistant. Do these data indicate that New Jersey has a statisti

    		•
  • Q : Problems on ANOVA We are going to

    We are going to simulate an experiment where we are trying to see whether any of the four automated systems (labeled A, B, C, and D) that we use to produce our root beer result in a different specific gravity than any of the other systems. For this example, we would l

    		•
  • Q : OIL I need to product when oil will

    I need to product when oil will finish time (by years) for 6 countries if the keep their production (per day) in the same level. So, the 6 countries have fixed reserves and production 1. statistics for Bahrain Crude oil reserves (million barrels) = 124.6 be careful in million Crude oil producti

    		•
  • Q : Explain Service times Service times: A)

    Service times:A) In most cases, servicing a request takes a “short” time, but in a few occasions requests take much longer.B) The probability of completing a service request by time t, is independent of how much tim

    		•
  • Q : Assumptions in Queuing system

    Assumptions in Queuing system: • Flow balance implies that the number of arrivals in an observation period is equal to the

    		•
  • Q : What is your conclusion The following

    The following data were collected on the number of emergency ambulance calls for an urban county and a rural county in Florida. Is County type independent of the day of the week in receiving the emergency ambulance calls? Use α = 0.005. What is your conclusion? Day of the Week<

    		•
  • Q : State Kendalls notation

    Kendall’s notation:  A/B/C/K/m/Z A, Inter-arrival distribution M exponential D constant or determ

    		•