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greater than 3 2 people For a random sample of 29 households in the city the households had a sample mean size of 3 5 people with a sample standard deviation of 0 6 people Assume that the population of household sizes in the city is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support that the mean household size in the city is greater than 3 2 people a State the null hypothesis H and the alternative hypothesis that you would use for the test H 0 Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed O Two tailed Step 3 Enter the critical value s Round to 3 decimal places Step 4 Enter the test statistic Round to 3 decimal places b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test 10 10 is the value that cuts off an area of 0 10 in the right tail The value of the test statistic is given by t 0 4 03 02 01 Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean household size in the city is greater than 3 2 people H S n Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean household size in the city is greater than 3 2 people Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean household size in the city is greater than 3 2 people O Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean household size in the city is greater than 22 people X 0 0 OSO 0 0 020 0 0 PO X c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by Deshaun 5

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