To test the volatility of two stocks (ABC Company and XYZ Company), a researcher collects data on stock prices for each company over the last 30 days. Data shows the variance (s^2) in stock price for ABC is $39.34, and for XYZ Company the variance is $20.18. Use this information to test the claim that the variance in ABC is greater than the variance in XYZ stock. Assume an alpha of 0.05.(Hint: make sure you designate the sample with the larger variance as sample1 and the other as sample2 in your calculations. Also, we are always only interested in the right F critical value)What is the right F critical value? [Fcv] (round to 2 decimals)What is the value of the F test statistic? [Fts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter “reject H0” or “fail to reject H0”)Is the hypothesis supported? [support] (enter “yes” or “no”)

The following data shows human body temperatures from random samples of three different age groups. Perform an ANOVA and answer the following questions.What is the average body temperature for 30+ year olds? [avg30] (round to 2 decimals)What is the variance in body temperature for 18-20 year olds? [var18] (round to 2 decimals)What is the p-value for this ANOVA? [pval] (note: round to 3 decimals)At an alpha of 0.05, is there a significant difference in mean body temperatures between the age groups? [sig] (enter yes or no)Without further analysis, is it possible to say for sure which specific group is, or is not, different from which other specific group(s)? [diff] (enter yes or no) 18-20yrs 21-29yrs 30+yrs 98.0 99.6 97.5 98.4 98.2 98.2 97.7 99.0 97.0 98.5 98.2 97.1 97.1 97.9 96.4

The table below shows data from a study comparing what people said their annual income was (in thousands of dollars), as opposed to what they reported on their tax return. Assuming alpha=0.01, use this data to test the claim that people say they have a greater annual income than what they actually report on their taxes. Said 50 48 43 39 35 33 28 for Tax 48 48 40 37 32 34 27 What is the mean of the difference in incomes (d-bar)? [dbar] (round to 1 decimal)What is the standard deviation of the difference (s-d)? [sd] (round to 2 decimals)What is the left critical value? [cvL] (round to 2 decimals – enter “na” if there is none)What is the right critical value? [cvR] (round to 2 decimals – enter “na” if there is none)What is the value of the test statistic? [ts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

A random sample of repair costs for BMW’s involved in crashes consisted of 5 BMW’s, with repair costs shown in the table below. Use an alpha=0.02 to answer the following questions related to a claim that the mean repair cost for all BMW crashes is $3,000. $2,797 $2,571 $2,904 $3,147 $2,418 H0: mu [c1] $3,000 (enter correct sign(s))H1: mu [c2] $3,000 (enter correct sign(s))The claim is [m1] (enter H0 or H1)The critical value on the left, if there is one = [cv1] (round to 3 decimals-if none, enter “na”)The critical value on the right, if there is one = [cv2] (round to 3 decimals-if none, enter “na”)The test statistic = [ts] (round to 3 decimals)The result of the hypothesis test of H0 is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter yes or no)

A large buyer of transportation services wants to compare the standard deviation in delivery lead times between standard Fedex and UPS shipments.100 Fedex shipments are randomly selected, and an analysis indicates a standard deviation of 4.6 days.150 UPS shipments are randomly selected, and an analysis indicates a standard deviation of 3.9 days.Using this information, answer the following questions and test the claim that the standard deviation in delivery lead times for Fedex is different than that of UPS, assuming alpha=0.10.(Hint: make sure you designate the sample with the larger variance as sample1 and the other as sample2 in your calculations. We are also always only interested in the right F critical value)What is the value of the F critical value? [Fcv] (round to 2 decimals)What is the value of the F test statistic? [Fts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

A study was done to compare the average repair cost of Toyotas and BMW’s involved in auto accidents. 25 incidents were randomly selected for each brand. Toyota repair costs averaged $3,717 with a standard deviation of $1,766. BMW repair costs averaged $4,299 with a standard deviation of $1,957. Use this information to answer the following questions and test the claim that the average repair cost for Toyotas is not the same as that for BMW’s. Use alpha=0.20.The left critical value = [left] (round to 2 decimals – if there is no left value, enter “na”)The right critical value = [right] (round to 2 decimals – if there is no right value, enter “na”)The test statistic = [ts] (round to 2 decimals)The result of the hypothesis test is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

A study is done to compare the average value of settlements negotiated by two competing law firms on behalf of individuals who were victims in automobile accidents. 15 cases were randomly selected from each firm. Firm A cases had an average settlement of $27,565 with a standard deviation of $10,880. Firm B cases had an average settlement of $22,322 with a standard deviation of $6,674. Use this information to answer the following questions and test the claim that the average settlement of Firm A is no more than the average settlement of Firm B. Use alpha=0.10.The left critical value = [left] (round to 2 decimals – if there is no left value, enter “na”)The right critical value = [right] (round to 2 decimals – if there is no right value, enter “na”)The test statistic = [ts] (round to 2 decimals)The result of the hypothesis test is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

Market researchers studying the demographics of soda drinkers claim that the average age of Coke drinkers is the same as that of Mountain Dew drinkers.To test their claim, the researchers randomly select 300 Coke drinkers and 300 Mountain Dew drinkers. The average age of the Coke drinkers is 31.7 with a standard deviation of 14.34 years, and the average age of Mountain Dew drinkers is 29.7 with a standard deviation of 12.76 years.Based on this data, and using an alpha=0.01, answer the following questions and test the claim.The left critical value = [left] (round to 2 decimals – if there is no left value, enter “na”)The right critical value = [right] (round to 2 decimals – if there is no right value, enter “na”)The test statistic = [ts] (round to 2 decimals)The result of the hypothesis test is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

Given the following descriptions determine H0 (the Null Hypothesis), H1 (the Alternative Hypothesis), and specify which is the Claim. A.  A researcher claims that more than 55% of voters are against gun control.    H0:  p [1c1] 55% (enter correct sign(s))   H1:  p [1c2] 55% (enter correct sign(s))   The claim is [m1] (enter “H0” or “H1”) B.  In a study of college students, a researcher claims that the average time a student spends studying in a statistics class is 3.5 hours per week.    H0:  mu [2c1] 3.5 (enter correct sign(s))   H1:  mu [2c2] 3.5 (enter correct sign(s))   The claim is [m2] (enter “H0” or “H1”) C.  Data was collected regarding income levels in Utah. A state senator claims that the standard deviation of annual income in Utah is at least $25,000.    H0:  sigma [3c1] $25,000 (enter correct sign(s))   H1:  sigma [3c2] $25,000 (enter correct sign(s))   The claim is [m3] (enter “H0” or “H1”) D.  You’re thinking that fewer than 5% of those infected with Covid-19 need medical assistance, and want to make that claim.    H0:  p [4c1] 5% (enter correct sign(s))   H1:  p [4c2] 5% (enter correct sign(s))   The claim is [m4] (enter “H0” or “H1”)  

The table below shows data from a study comparing what people said their annual income was (in thousands of dollars), as opposed to what they reported on their tax return. Assuming alpha=0.02, use this data to test the claim that people say they have a greater annual income than what they actually report on their taxes. Said 140 123 100 84 75 71 for Tax 139 118 99 84 72 70 What is the mean of the difference in incomes (d-bar)? [dbar] (round to 1 decimal)What is the standard deviation of the difference (s-d)? [sd] (round to 2 decimals)What is the left critical value? [cvL] (round to 2 decimals – enter “na” if there is none)What is the right critical value? [cvR] (round to 2 decimals – enter “na” if there is none)What is the value of the test statistic? [ts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)