Recent research indicates that a labor force with average education less than 12 years is insufficient to support the rapid growing economy. A survey randomly sampled 64 working-age adults from an underdeveloped urban city in South America and asked about the years of education they received. The mean is 11 years and standard deviation is 3.6. There are no extreme outliers. Based on this data, can we claim the working-age adults in this city have less than 12 years of education on average? (1) We need a hypothesis for ________ to test this claim. a) one-sample t-test b) one-proportion z-test c) two-sample t-test d) two-proportion z-test (2) The null hypothesis is all working-age adults have __________ years of education on average in this city. a) 12 b) less than c) more than (3) The CLT conditions are ____________ a) satisfied b) not Satisfied because _______________ . a) we have a random sample and n > 30 with no extreme outlier observed b) we have a random sample and n > 30 with at least one outlier. (4) This is a _________ test. a) one sided b) two sided The test statistics equals ____________ . a) -2.222 = (11-12) / (3.6 / sqrt(64)) b) -0.278 = (11-12) / 3.6 c) 2.222 = (12-11) / (3.6 / sqrt(64)) d) -4.216 = (11-12) / sqrt(3.6 / 64) (5)Under the null hypothesis, the test statistic approximately follows a a) t distribution with degrees of freedom 63. b) Binomial distribution c) standard normal distribution d) t distribution with degrees of freedom 64. (6)If p-value of the test statistics is 0.015, we could conclude with significance level of 5%, there is _____ evidence to claim working-age adults in this city have less than 12 years of education on average. a) enough b) Not enough
Recent research indicates that a labor force with average education less than 12 years is insufficient to support the rapid growing economy. A survey randomly sampled 64 working-age adults from an underdeveloped urban city in South America and asked about the years of education they received. The
(1) We need a hypothesis for ________ to test this claim.
a) one-sample t-test
b) one-proportion z-test
c) two-sample t-test
d) two-proportion z-test
(2) The null hypothesis is all working-age adults have __________ years of education on average in this city.
a) 12
b) less than
c) more than
(3) The CLT conditions are ____________
a) satisfied
b) not Satisfied
because _______________ .
a) we have a random sample and n > 30 with no extreme outlier observed
b) we have a random sample and n > 30 with at least one outlier.
(4) This is a _________ test.
a) one sided
b) two sided
The test statistics equals ____________ .
a) -2.222 = (11-12) / (3.6 / sqrt(64))
b) -0.278 = (11-12) / 3.6
c) 2.222 = (12-11) / (3.6 / sqrt(64))
d) -4.216 = (11-12) / sqrt(3.6 / 64)
(5)Under the null hypothesis, the test statistic approximately follows a
a) t distribution with degrees of freedom 63.
b) Binomial distribution
c) standard
d) t distribution with degrees of freedom 64.
(6)If p-value of the test statistics is 0.015, we could conclude with significance level of 5%, there is _____ evidence to claim working-age adults in this city have less than 12 years of education on average.
a) enough
b) Not enough
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