using table f find the critical value for the t test for a two-tailed test with
ID: 3219877 • Letter: U
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using table f find the critical value for the t test for a two-tailed test with n=11 and a=0.02 Previous 11 12 1 14 15 16 17 18 19 20 Next 8.2 Section Exercise 16 Question 13 of 26 (4 points) View problem in a popuR Aresearcher claims that the average yearly consumption of soft drinks per person is 52 gallons. In a sample of 51 randomly selected people, the mean of the yearly consumption was 53.7 gallons. The standard deviation of the population is 3.5 gallons. On the basis of the P-value, is the researcher's claim valid at a 0.01? Guic Source: US Department of Agriculture. Ask M Part 1 out of 5 State the hypotheses and identify the claim with the correct hypothesis. Link t Ho: H (select) (select) H1: H (select) (select) This hypothesis test is a (select) test. Save for Submit Ass MacBook AirExplanation / Answer
Data:
n = 51
= 52
s = 3.5
x-bar = 53.7
Hypotheses:
Ho: = 52
Ha: 52
Decision Rule:
= 0.01
Lower Critical z- score = -2.575829304
Upper Critical z- score = 2.575829304
Reject Ho if |z| > 2.575829304
Test Statistic:
SE = s/n = 3.5/51 = 0.490098029
z = (x-bar - )/SE = (53.7 - 52)/0.490098029409803 = 3.468693808
p- value = 0.000522995
Decision (in terms of the hypotheses):
Since 3.468693808 > 2.575829304 we reject Ho and accept Ha
Conclusion (in terms of the problem):
The researcher's claim that = 52 is not valid.
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