random sample of 100 observations from a population with standard deviation 19.09 yielded a sample mean of 93.4 Given that the null hypothesis is μ=90 and the alternative hypothesis is μ≠90 using α=.05, find the following: (a) Test statistic = (b) P - value
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A random sample of 100 observations from a population with standard deviation 19.09 yielded a sample
Given that the null hypothesis is μ=90 and the alternative hypothesis is μ≠90 using α=.05, find the following:
(a) Test statistic =
(b) P - value
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- A company claims that the mean monthly salary for their managers is 8 thousand dollars.A sample of 100 managers has a mean monthly salary of 7.5 thousand dollars with a standard deviation of 1.9 thousand dollars. You want to perform a hypothesis test challenge the validity of the claim made by the company, at a significance level of α=0.10α=0.10. Your hypotheses are:Ho:μ=8,000Ho:μ=8,000Ha:μ<8,000Ha:μ<8,000 (a) Find the test statistic, rounded to 4 decimal places.Test Statistic = (b) FInd the p-value, rounded to 4 decimal places.p-value =A random sample of 23 bags of apples (marked as 10 pounds each) received by a large grocery chain tested out as having a mean of 9.2 pounds with a variance of 2.56 pounds. Test whether the true mean of all bags is under 10 pounds. Set up hypotheses. Perform the appropriate test by showing your formula. Interpret the results using a Type I (alpha) error of .05. Also provide the p value here. Also construct a 95% confidence interval around your sample mean (X bar) that should contain the true mean (mu). Also interpret this interval.Assuming that the two populations are normally distributed with unequal and unknown population standard deviations, construct a 95% confidence interval for µ1- µ2 for the following. N1=14 X1 =109.43 s1 =2.26 N2=15 x2 =113.88 s2=5.84
- A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use μ1 for the mean number of families with no children. At α=0.10, is there a difference between the means? Use the P-value method and tables. (a) State the hypothesis and identify the claim with the correct hypothesis. H0: ▼(Choose one) H1: ▼(Choose one) This hypothesis test is a ▼(Choose one) test. (b)Find the critical value(s). Round the answer to 3decimal places, if necessary. If there ismore than one critical value, Critical values: (c)Compute the test value. Round the answer to at least 3 decimal places, if necessary. z= Compute the P -value. Round the answer to four decimal places. P-value= (d)Make the decision. What's the null hypothesis? (e)Summarize the…The braking ability was compared for two car models. Random samples of two cars were selected. The first random sample of size 64 cars yield a mean of 36 and a standard deviation of 8. The second sample of size 64 yield a sample mean of 33 and a standard deviation of 8. Do the data provide sufficient evidence to indicate a difference between the mean stopping distances for the two models? Use Alpha= 0.01. Ho: µ1 – µ2 = 0 vs. Ha: µ1 – µ2 + 0 .p-value = 0.0017. Reject Ho Но: Д, — м2 — 0 vs. Ha:M1 — M2 + 0. p-value — 0.034. Ассеpt Ho O Ho:µ1 – Hz Но: И — 2 — 0 vs. Ha:M, — нz + 0. p-value —D 0.0017. Ассept Ho Ho: H1 – U2 = 0 vs. Ha: µ1 – µ2 + 0. p-value = 0.034. Reject Ho
