For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: µ1

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For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the
null hypothesis. The samples are random and independent.
Claim: µ1 <H2, a = 0.01. Sample statistics: x, = 1220, n, = 35, x2 = 1190, and n2 = 55. Population statistics: o, = 65 and o, = 115.
(a) The test statistic for µ, -H, is
(b) The standardized test statistic for µ, - H2 is
(Round to two decimal places as needed.)
(c) Is the standardized test statistic in the rejection region?
Yes
No
(d) Should you reject or fail to reject the null hypothesis?
Ho:H1ZH2; Ha: H1 <H2•
V Ho. At the 1% significance level, there is
v evidence to support the claim.
Transcribed Image Text:For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: µ1 <H2, a = 0.01. Sample statistics: x, = 1220, n, = 35, x2 = 1190, and n2 = 55. Population statistics: o, = 65 and o, = 115. (a) The test statistic for µ, -H, is (b) The standardized test statistic for µ, - H2 is (Round to two decimal places as needed.) (c) Is the standardized test statistic in the rejection region? Yes No (d) Should you reject or fail to reject the null hypothesis? Ho:H1ZH2; Ha: H1 <H2• V Ho. At the 1% significance level, there is v evidence to support the claim.
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