A study conducted by the research department of a pharmaceutical company claims that the annual spending (per person) for prescription drugs for allergy relief, μ1, is greater than or equal to the annual spending (per person) for nonprescription allergy relief medicine, μ2. A health insurance company conducted an independent study and collected data from a random sample of 295 individuals for prescription allergy relief medicine. The sample mean is found to be 17.8 dollars/year, with a sample standard deviation of 5.4 dollars/year. They have also collected data for nonprescription allergy relief medicine. An independent random sample of 300 individuals yielded a sample mean of 18.2 dollars/year, and a sample standard deviation of 4.2 dollars/year. Since the sample size is quite large, it is assumed that the population standard deviation of the sales (per person) for prescription and nonprescription allergy relief medicine can be estimated by using the sample standard deviation values given above. Is there sufficient evidence to reject the claim made by the research department of the company, at the 0.1 level of significance? Perform a onetailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis: H0: μ 1 = μ 2
The alternative hypothesis: H1: μ 1 > μ 2
The type of test statistic: : it is two sample t test .
The value of the test statistic: 1. 007
The critical value at the 0.1 level of significance: = 1.282
Can we reject the claim that the mean spending on prescription allergy relief medication is greater than or equal to the mean spending on nonprescription allergy relief medication?
Answer : NO
here we accept Ho ie our claim is not satisfy .
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