1. A normal distribution has a mean of 50 and a standard deviation of 4. Determi
ID: 2960405 • Letter: 1
Question
1. A normal distribution has a mean of 50 and a standard deviation of 4. Determine the value below which 95% of the observations will occur.a. X=60.00
b. X=56.60
c. X=50.00
d. X=none of the above
2. The American Sugar Producers Association wants to estimate the yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds. What is the best estimate of the population mean?
a. X=60.00
b. X=0
c. X=50.00
d. X=none of the above
3. A normal distribution has a mean of 80 and a standard deviation of 14. Compute the probability of a value between 75.0 and 90.0.
a. .2022
b. .3595
c. .4017
d. None of the above
4. The amounts of money requested small business loan applications at GetBuckets Fantake Commercial Savings Bank follows the normal distribution, with a mean of $70,000 and a standard deviation of $20,000. What is the probability that the amount requested is $80,000 or more?
a. .3500
b. .3085
c. .2902
d. .5987
5. Using Problem #4, what is the probability the amount requested is between $65,000 and $80,000?
a. .4500
b. .2902
c. .5987
d. None of the above
6. True or False. The standard normal distribution is unique because it has a mean of 0 and a standard deviation of 1.
a. True
b. False
7. In 1000 samples, assuming that the null hypothesis is true, how many times would you expect to commit Type I error if alpha=.05?
a. 95 times
b. 10 times
c. 50 times
d. Not enough information given to provide an answer
8. True or false: the smaller the p-value, the more likely we will accept the alternative hypothesis and reject the null hypothesis.
a. True
b. False
c. This depends on the data and no blanket rule can be stated about the p-value
d. The p-value is a constant Table value set at .05, .01 , or .001.
Explanation / Answer
Cramster Rules says one question per post, but you have 8, dude! I'll be nice and do the last three. 6. T 7. c. (1000*0.05 = 50) 8. b. False. We never accept the alternative hypothesis, we just reject the null hypothesis.
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