what is the critical value?
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11) In a sample of 41 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1544 with a standard deviation of $413. In a sample of 101 trips taken by the employees in the sales department is $1725 with a standard deviation of $677. When testing the hypothesis (at the 10% level of significance) that the variance of the amount spent on trips taken by the sales department is higher than those taken by the HR department what is the critical value?
*please round your answer to 2 decimal places*
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- A group of researchers is studying the relationship between cortisol (stress hormone) levels and memory, and they want to see if a sample of 100 adults that has been recruited is a good representation of the population it came from, before they conduct additional research. The population has been found to be normally distributed and have a mean cortisol level of 12 mcg/dL, with a standard deviation of 2 mcg/dL. The sample was found to have a mean cortisol level of 15 mcg/DL, with a standard deviation of 3 mcg/dL. For this assignment, construct a confidence interval to determine if this sample mean is significantly different from the population mean. Explain how you know, based on the confidence interval, and specify the confidence level you used. Be sure to show your work and calculations. This can be tricky with Word, so if necessary you may take a photo of your hand calculations and add it to the Word document.A new small business wants to know if its current radio advertising is effective. The owners decide to look at the mean number of customers who make a purchase in the store on days immediately following days when the radio ads are played as compared to the mean for those days following days when no radio advertisements are played. They found that for 7 days following no advertisements, the mean was 22.1 purchasing customers with a standard deviation of 1.2 customers. On 10 days following advertising, the mean was 24.1 purchasing customers with a standard deviation of 1.6 customers. Test the claim, at the 0.05 level, that the mean number of customers who make a purchase in the store is lower for days following no advertising compared to days following advertising. Assume that both populations are approximately normal and that the population variances are equal. Let days following no advertisements be Population 1 and let days following advertising be Population 2. Step 1 of 3: State the…A new small business wants to know if its current radio advertising is effective. The owners decide to look at the mean number of customers who make a purchase in the store on days immediately following days when the radio ads are played as compared to the mean for those days following days when no radio advertisements are played. They found that for 13 days following no advertisements, the mean was 23.9 purchasing customers with a standard deviation of 1.9 customers. On 6 days following advertising, the mean was 24.7 purchasing customers with a standard deviation of 1.6 customers. Test the claim, at the 0.01 level, that the mean number of customers who make a purchase in the store is lower for days following no advertising compared to days following advertising. Assume that both populations are approximately normal and that the population variances are equal. Let days following no advertisements be Population 1 and let days following advertising be Population 2. Step 3 of 3: Draw a…