KillerSteamcar
20.02.2020 •
Mathematics
On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans and find the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a test of the null hypothesis that the population average is 10? Can you reject the null at the 5% significance level?
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Ответ:
The test statistic is -2.5
Yes, I can reject the null hypothesis at 5% significance level.
Step-by-step explanation:
Null hypothesis: The average number of sardines in a can is 9.75
Alternate hypothesis: The average number of sardines in a can is greater than 9.75
Test statistic (z) = (sample mean - population mean) ÷ sd/√n
sample mean = 9.75
population mean = 10
sd = 1
n = 100
z = (9.75 - 10) ÷ 1/√100 = -0.25 ÷ 0.1 = -2.5
The test is a one-tailed test. At 5% significance level, the critical value is 1.645
Conclusion:
Reject the null hypothesis because the test statistic -2.5 is less than the critical value 1.645
Ответ:
I can answer, but - shouldn't it say how much an apple watch costs?
Step-by-step explanation: