In: Statistics and Probability
1) The distribution of the amount of money spent by college students for school supplies in a semester is normally distributed with a mean of $275 and a standard deviation of $20.
Using the Standard Deviation Rule, there is a 99.7% probability that students spent between:
Group of answer choices
$255 and $295
$215 and $315
$235 and $315
$235 and $335
$215 and $335
2) The distribution of the amount of money spent by college students for school supplies in a semester is normally distributed with a mean of $275 and a standard deviation of $20.
Using the Standard Deviation Rule, there is a 95% probability that students spent between:
Group of answer choices
$215 and $335
$235 and $315
$215 and $315
$255 and $295
$235 and $335
3) Based on national data, the amount of sleep per night of all U.S. adults follows a normal distribution with a mean of 7.5 hours and a standard deviation of 1.2 hours.
Using the Standard Deviation Rule, there is a 68% probability that U.S adults get between:
Group of answer choices
5.1 and 8.7 hours of sleep
3.9 and 11.1 hours of sleep
6.3 and 8.7 hours of sleep
6.3 and 9.9 hours of sleep
5.1 and 9.9 hours of sleep
4) According to national data, 70% of all credit card users in the U.S. do not pay their card bill in full every month (p = .70). Suppose that a random sample of size n = 500 credit cards users is chosen.
Use the Standard Deviation Rule and the properties of the sampling distribution of p-hat. There is a 95% chance that, in any random sample of 500 credit card users, the proportion of those who do not pay their bills in full every month will be between:
Group of answer choices
.60 and .80
.55 and .85
.64 and .76
.66 and .74
5) According to national data on the sleeping habits of adults, the amount of sleep per night of all U.S. adults follows a normal distribution with a mean of 7.5 hours and a standard deviation of 1.2 hours. A study surveyed a random sample of 700 U.S. adults and found that their average amount of sleep per night was 6.85 hours with a standard deviation of 1.88 hours.
Fill in the blank below with the appropriate number corresponding to the provided symbol.
6)
According to national data on the sleeping habits of adults, the amount of sleep per night of all U.S. adults follows a normal distribution with a mean of 7.5 hours and a standard deviation of 1.2 hours. A study surveyed a random sample of 700 U.S. adults and found that their average amount of sleep per night was 6.85 hours with a standard deviation of 1.88 hours.
Fill in the blank below with the appropriate number corresponding to the provided symbol.
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