A random sample of n-35 observations from a quantitative population produced a m

Question

A random sample of n-35 observations from a quantitative population produced a mean x-bar=2.4 and a standard deviation s=0.29 Suppose your research objective is to show that the population mean mu exceeds 2.3. Give the null and alternative hypotheses tor the test Ho: mu = 2.3 Ha mu > 2.3 Ho:mu = 2.4 Ha: mu >2.4 Ho: mu > 2.3 Ha: mu = 2.3 Ho: mu =/= 2.4 Ha: mu = 2.4 For Exercise 9 14. a company was contemplating the installation of a flextime schedule in which a worker schedules he or her work hours or compresses work weeks The company estimates that it needs a minimum mean of 7 hours per day per assembly worker in order to operate effectively. Each of a random sample of 80 of the company's assemblers was asked to submit a tentative flextime schedule. If the mean number of hours per day for Monday was 6.7 hours and the standard deviation was 2.7 hours, do the data provide sufficient evidence to indicate that the mean number of hours worked per day on Mondays for all of the company's assemblers, will be less than 7 hours? Test using alpha = 0.05. Ho: mu = 7 Ha: mu

Explanation / Answer

3.

The objective is to show that the mean u is greater than 2.3, so that will be Ha,

OPTION A: Ho: u = 2.3
Ha: u > 2.3 [ANSWER]

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4.

Formulating the null and alternative hypotheses,              
              
Ho:   u   =   7  
Ha:    u   <   7  
              
As we can see, this is a    left   tailed test.      
              
Getting the test statistic, as              
              
X = sample mean =    6.7          
uo = hypothesized mean =    7          
n = sample size =    80          
s = standard deviation =    2.7          
              
Thus, t = (X - uo) * sqrt(n) / s =    -0.994 [ANSWER, C]          

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