In a sample of 186 men, the mean number of words spoken in a day is 15657.9 with a standard deviation of 8659.4 words. In a sample of 217 women, the mean number of words spoken in a day is 16209.3 with a standard deviation of 7294.1 words. Use a 0.01 significance level to test the claim that the mean number of words spoken in a day by men is less than that for women. If we let: Let μ1 be the population mean number of words spoken in a day by men, and μ2 be the population mean number of words spoken in a day by women. Let p1 be the population proportion of words spoken in a day by men, and p2 be the population proportion of words spoken in a day by women. Round to three decimal places if necessary. a) Null hypothesis H0 : . Alternate hypothesis H1 : . b) Type of test: -tailed test. c) significance level: α = d) Test statistic:
In a sample of 186 men, the
If we let:
Let μ1 be the population mean number of words spoken in a day by men, and μ2 be the population mean number of words spoken in a day by women.
Let p1 be the population proportion of words spoken in a day by men, and p2 be the population proportion of words spoken in a day by women.
Round to three decimal places if necessary.
a)
Null hypothesis H0 : .
Alternate hypothesis H1 : .
b) Type of test: -tailed test.
c) significance level: α =
d) Test statistic:
e) Compute p-value of the test statistic.
f) Decision:
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