In: Statistics and Probability
1. A null and alternative hypothesis is given. determine whether the hypothesis test is left tailed, right-tailed, or two-tailed. Ho: u=37, H1: u>37
2. True or False. The t value for the area in the right tail is 0.02 and n=10 is 2.359
3. write the null and alternative hypothesis. according to a magazine, the mean donation per household in 1998 was $1623. a researcher claims that it has increased since then.
4.the following data are prices for a 4 GB flash memory card at different stores. 12.25, 14.99, 13.49, 16.38, 13.63, 14.95, 14.75, 20.88, 14.21, 20.38. construct a 99% confidence interval to estimate the mean price of a $ GB memory card. use t table
4.
1:
Alternative hypothesis shows that test is right tailed.
Correct option is right tailed.
2:
Degree of freedom:
df = 10-1= 9
The critical value using excel function "=TINV(2 * 0.02, 9)" is 2.398.
Hence, it is false.
3:
4:
Following table shows the calculations for mean and SD:
X | (X-mean)^2 | |
12.25 | 11.162281 | |
14.99 | 0.361201 | |
13.49 | 4.414201 | |
16.38 | 0.622521 | |
13.63 | 3.845521 | |
14.95 | 0.410881 | |
14.75 | 0.707281 | |
20.88 | 27.973521 | |
14.21 | 1.907161 | |
20.38 | 22.934521 | |
Total | 155.91 | 74.33909 |
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