1. A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than20 miles per hour
(mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. To determine whether the site meets the organization’s requirements, consider the
test,H0:µ=20 vs.Ha:µ>20, whereµ is the true mean wind speed at the site and alpha=.01. Suppose the observed significance level (p-value) of the test is calculated to be p=0.4418. Interpret this result.
A)We are 55.82% confident thatµ=20.
B)Since the p-value greatly exceeds alpha=.01, there is strong evidence to reject the null hypothesis.
C)The probability of rejecting the null hypothesis is 0.4418.
D)Since thep-value exceeds alpha=.01, there is insufficient evidence to reject the null hypothesis.
2.If a hypothesis test were conducted using alpha=0.10, to which of the following p-values would cause the null hypothesis to be rejected.
A) 0.110
B) 0.105
C) 0.150
D) 0.090
3.A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 38 minutes. The owner has randomly selected15 customers and delivered pizzas to their homes in order to test whether the mean delivery time actually exceeds38 minutes. Suppose thep-value for the test was found to be .0274. State the correct conclusion.
A)At alpha= .02, we rejectH0.
B)At alpha= .05, we fail to rejectH0.
C)At alpha= .025, we fail to rejectH0.
D)At alpha= .03, we fail to rejectH0.
4.An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is in excess of the 12 ounces printed on each cartridge. To check this claim, a sample of n=21 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are:x=12.17 ounces,s= .21 ounce. To determine whether the supplier’s claim is true, consider the test,H0:µ=12 vs.Ha:µ>12, whereµ is the true mean weight of the cartridges. Calculate the value of the test statistic.
A) 0.810
B) 17.000
C) 3.710
D) 1.700
5.The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion differs from30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the p-value for a two-tailed test of hypothesis.
A) .4876
B) .0124
C) .4938
D) .0062
I just want an input to what you guys know and if you can explain it, it would be nice as well. I’m not confident if I did those problems right. Thanks a lot math geeks.
1. D
The answer basically explains itself. When the p-value is greater than the alpha-value, you can’t reject Ho
2. D
Again, to reject Ho, the p-value must be less than alpha. Since alpha is .1, choice D is the only p-value less than alpha
3. C
Same concept. If p<alpha, we reject Ho. If p>alpha, we fail to reject
4. C
First you need to find the standard error, which is equal to the square root of (s^2/n) = square root of (.21^2/21) = .046. This acts as the standard deviation of the sampling distribution. The mean of the sampling distribution is equal to Ho which is 12. The test statistic (or t) equals (x-µ)/SE = (12.17 – 12)/.046 = 3.71.
5. B
I didn’t fully understand this one, but if the test statistic is 2.5, then the p-value is 2 x normalcdf(2.5,1000) = .124
By the way, how do you type µ on the keyboard?
RFID R and D Opportunities and the Supply Chain (cont.)
Healthcare and Life Sciences Requirements for RFID
R and D Opportunities and the Future of RFID Frequencies
Aero-Astro Technology and Research – Active RFID Standardization Pathway
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