NO.PZ2023040502000012
问题如下:
Dennehy believe that the number of defective
assemblies per hour is a function of the outside air temperature and the speed
(production rate) of the assembly lines.
Using the data
provided in Exhibit 1, Dennehy tests the hypothesis that the coefficients for
outside air temperature and assembly line speed are significantly different
from zero, using a significance level of 5%.
Based on Exhibit 1 and statistical tests, the best conclusion
Dennehy can make is that the regression coefficient is significantly different
from zero with respect to the coefficient(s) for:
选项:
A.assembly line speed (b2) only.
outside air temperature (b1) only.
both outside air temperature (b1)
and assembly line speed (b2).
解释:
The null
hypotheses are that the coefficients equal zero. The alternative hypotheses are
that the coefficients do not equal zero (two-tailed tests). The appropriate
test statistics, t, are calculated by dividing the estimates of the
coefficients by their respective standard error.
tb1 = 0.0006/0.0010 = 0.60
tb2 = 0.5984/0.30 = 1.9947
The test statistic for outside air temperature is less
than the critical value of 1.96. The test statistic for assembly line speed
exceeds the critical value of 1.96. Dennehy cannot reject the null hypothesis
that the population regression coefficient for outside air temperature,b1,
is zero. Dennehy can reject the null hypothesis that b2 is zero at
the 5% level of significance.
Dennehy tests the hypothesis that the coefficients for outside air temperature and assembly line speed are significantly different from zero, using a significance level of 5% 这句话的意思不能理解成,他已经做了假设检验,结果是这俩都是显著的?