The average lactation (nursing) period of all earless seals is 21 days. Grey seals are one of several types of earless seals. A sample of 48 female grey seals had the following lactation periods, in days:   17.6 19.4 15.6 14.9 15 16.1 17.9 16.9 19.7 20.5 16.4 19.5 18 16 17.7 23.4 20.9 19.8 21.3 15.2 18.1 18.7 15.3 15 21.3 15.2 18.6 16.3 17.7 18.8 15.8 18.9 21.2 15.5 17.4 19.8 15.4 20.4 20.7 19 21 21 18.3 18.7 19.6 19.2 16.8 17.6       At the 1% significance level, do the data provide sufficient evidence to conclude that average lactation (nursing) period of grey seals is less than 21 days? Assume that the population standard deviation is 2.6 days. (Note: The average and the standard deviation of the data are respectively 18.19 days and 2.15 days.) Procedure:       Assumptions: (select everything that applies) The number of positive and negative responses are both greater than 10 Population standard deviation is known Simple random sample Population standard deviation is unknown Normal population Sample size is greater than 30

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The average lactation (nursing) period of all earless seals is 21 days. Grey seals are one of several types of earless seals. A sample of 48 female grey seals had the following lactation periods, in days:

 

17.6 19.4 15.6 14.9 15
16.1 17.9 16.9 19.7 20.5
16.4 19.5 18 16 17.7
23.4 20.9 19.8 21.3 15.2
18.1 18.7 15.3 15 21.3
15.2 18.6 16.3 17.7 18.8
15.8 18.9 21.2 15.5 17.4
19.8 15.4 20.4 20.7 19
21 21 18.3 18.7 19.6
19.2 16.8 17.6    

 

At the 1% significance level, do the data provide sufficient evidence to conclude that average lactation (nursing) period of grey seals is less than 21 days? Assume that the population standard deviation is 2.6 days. (Note: The average and the standard deviation of the data are respectively 18.19 days and 2.15 days.)

Procedure:      

Assumptions: (select everything that applies)

  • The number of positive and negative responses are both greater than 10
  • Population standard deviation is known
  • Simple random sample
  • Population standard deviation is unknown
  • Normal population
  • Sample size is greater than 30
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