iv. For a significant level of 0.05, what is the critical value (or critical region)?

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: A researcher wants to assess if the average age when women first marry has increased from
1960 to 1990. Let µz= average age of first marriage for women in 1990 and µ2 = average age of first marriage
for women in 1960. A random sample of 10 women married in 1990 showed an average age at marriage of
24.95 years, with a sample standard deviation of 2 years. A random sample of 20 women married in 1960
showed an average age at marriage of 23.1 years, with a sample standard deviation of 1.5 years. Assume that
age of first marriage for women is normally distributed, and assume the population variances are equal.
iv.
For a significant level of 0.05, what is the critical value (or critical region)?
Transcribed Image Text:: A researcher wants to assess if the average age when women first marry has increased from 1960 to 1990. Let µz= average age of first marriage for women in 1990 and µ2 = average age of first marriage for women in 1960. A random sample of 10 women married in 1990 showed an average age at marriage of 24.95 years, with a sample standard deviation of 2 years. A random sample of 20 women married in 1960 showed an average age at marriage of 23.1 years, with a sample standard deviation of 1.5 years. Assume that age of first marriage for women is normally distributed, and assume the population variances are equal. iv. For a significant level of 0.05, what is the critical value (or critical region)?
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