In pennsylvania the average iq score is 101.5 the variable is normally distributed and the population standard deviation is known to be 15. a school superintendent claims that students in her school district have an iq that is significantly greater than the state average. a random sample of 30 students from her district are selected and the sample mean iq score was 106.4 find the p-value for the test and round to 3 decimal places.

a. 0.0736
b. 0.0465
c. 0.0368
d. 0.05
e. 0.963

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.

Which container holds more,a half gallon milk jug or a 2 liter juice bottle

The motion of a weight that hangs from a spring is represented by the equation h=8sin(2pi/3t). it models the weight’s height above or below the rest position as a function of time. approximately when will the object be 3 inches above the rest position?