1. A biologist hypothesizes that the mean life expectancy of a fly is 10.5 days.
ID: 3375779 • Letter: 1
Question
1.
A biologist hypothesizes that the mean life expectancy of a fly is 10.5 days. Researchers believe the true mean is more than 10.5 days and they plan a hypothesis test at the 5% significance level on a random sample of 70 of these flies. If the alternative hypothesis is correct, for which of the following values of ? is the power of the test greatest?
? = 9
? = 10.5
? = 19
? = 20
? = 21
2.
Automobile tires can have a symmetric tread or an asymmetric tread. An experiment is to be conducted to determine whether the stopping distance is the same for both types of tire treads. In previous studies, it was determined that automobile size (small, medium, large) is associated with stopping distance, but automobile type (van, truck, SUV, and so on) is not associated with stopping distance. How could the experiment BEST be conducted?
By blocking on stopping distance
By blocking on tire tread type
By blocking on automobile type
By blocking on automobile size
Without blocking
3.
The number of apps a developer sells daily has the probability distribution represented in the table.
If each app sells for $5.99, what is the expected daily total dollar amount taken in by the developer from the sale of apps?
$5.99
$53.40
$59.90
$314.22
$319.87
Number of Apps, x 0 20 40 60 80 100 P(x) 0.05 0.25 0.18 0.12 0.3 0.1Explanation / Answer
Ans 1:
Larger the value of test statistic,lower the p-value and we will be more likely to reject the null hypothesis i.e. lower the probbaility of type II error and higher the power.
So,? = 21 will give the greater power.
So,correct option is ? = 21
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