Question: Based on the given condition identify the alternative hypothesis. also either identify the sampling distribution (normal, t, chi-square) of the test statistic.

1. claim: the mean annual income of full time college students is below $10,000. sample data: for 750 randomly selected college students, the mean is $3662$ and the standard deviation is $2996. the sample data suggest that the population has a distribution that is normal.
2. claim: the majority of college students have at least one credit card, sample data: of 500 randomly selected college students, \(82 \%\) have at least one credit card
3. claim: the mean IQ of adults is equal to 100. sample data \(n=150\) and \(\bar{x}=98.8\) it is reasonable to assume that \(\sigma=15\)
4. claim: with manual assembly of telephone parts, the assembly times vary more than the times for automated assembly, which are known to have a mean of 27.6 sec and a standard deviation of 1.8 sec. sample data for 24 randomly selected times, the mean is \(25.4 \mathrm{sec}\), the standard deviation is \(2.5 \mathrm{sec}\) and the sample data suggest that the population has a distribution that is far from normal.
5. claim: statistic professors have IQ scores that vary less than IQ scores from the adult population, which has a standards deviation of 15 . sample data: for 24 randomly selected statistics professors, the standard deviation is 10.2, and the sample data suggest that the population has a distribution that is very close to a normal distribution.

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