Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6 inches, with a standard deviation of 1.0 inches.
Using the alternative hypothesis (µ < µ0), Rachel found that a z-test statistic was equal to -1.25.
What is the p-value of the test statistic? Answer choices are rounded to the thousandths place.
Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6...
A random sample of 35 rabbits of a particular species was collected. The lengths of the rabbit tails were measured. From the sample, the mean tail length was found to be 3.3 cm. Assume that the population tail length has a Normal distribution with a standard deviation of 1.2 cm. From a reference book, it was stated that the mean tail length for rabbits of this particular species is 2.6 cm. A hypothesis test for the mean µ was conducted....
Kristy randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $20,876 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Kristy found a z test statistic of -1.66. Given the data provided, what is the p-value of the z-test statistic? Answer choices are rounded to the thousandths place.
Spencer randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $21,032 with a standard deviation of $2,494. Using the alternative hypothesis that u < $21,706, Spencer found a z test statistic of -1.35. Given the data provided, what is the p-value of the z-test statistic? Answer choices are rounded to the thousandths place. a.) 0.089 b.) 0.911 c.) 0.171 d.) 0.829
(Lengths of leaves) The length (cm) of leaves of a particular plant species follows the normal distribution expectation µ and standard deviation σ = 4.0. Botanist thinks that the unknown expectation value would be 16.0. Test the validity of this hypothesis when the botanist measured five species plant leaves and got an average of 19.0. Use the Normalized average as the Test Size z(x)=m(x)-µ0/(σ/) ,where m ( x) is the mean of the observed data points and µ0 is the...
A steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control...
A steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control...
A random sample of 50 students is selected and it is found that the mean of daily internet usage is 70.8 minutes with standard deviation of 13.8 minutes. A hypothesis test was performed to determine whether the true mean usage, µ equal to 72.0 minutes or not. What is the p-value of the test?
A random sample of 10 funnel-eared bats yields a mean length of 4.8 cm. Lengths of these bats are known to be Normally distributed with standard deviation 1.2 cm. The upper end of the 90% confidence interval for the mean length of all funnel-eared bats is: (round to 1 decimal place)
Find the p -value for the hypothesis test. A random sample of size 51 is taken. The sample has a mean of 392 and a standard deviation of 83. H 0 : µ = 400 H a : µ< 400 The p -value for the hypothesis test is . Your answer should be rounded to 4 decimal places.
Lazarus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed, and they vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to .035 inch. The...