Which calculator function should be used to perform a hypothesis test for a population mean where the population standard deviation is unknown? O a. ZTest O b. TTest 1-PronZTest
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- The claim is that weights (grams) of pennies made after 1983 have a mean equal to 2.500 g as required by mint specifications. The sample size is n = 37 and the test statistic ist = -0.331. Find the P value. Answer: The P value is (Round to four decimal places.)Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure. Women Men Women Men69.0 71.0 63.0 63.095.0 65.0 73.0 81.079.0 68.0 57.0 92.065.0 61.0 59.0 80.071.0 65.0 79.0 89.080.0 71.0 72.0 63.059.0 58.0 70.0 72.051.0 40.0 64.0 79.072.0 66.0 66.0 76.087.0 65.0 84.0 57.067.0 81.0 55.0 67.059.0 75.0 76.0 84.073.0 53.0 74.0 71.063.0 77.0 51.0 69.066.0 51.0 91.0 68.087.0 91.0 58.0 71.057.0 78.0 82.0 73.085.0 81.0 83.0 72.071.0 59.0 77.0 68.062.0 73.0 66.0 77.071.0 80.0 72.0 67.072.0 103.0 61.0 51.089.0 61.0 88.0 66.070.0 79.0 57.0 71.067.0 73.0 77.0 66.067.0 84.0 77.0 76.071.0 64.0 90.0 51.081.0 67.0 64.0 55.073.0 55.0 70.0 65.089.0 84.0 79.0 85.063.0 78.0 42.0 84.069.0 56.0 73.0 72.077.0 62.0 71.0 80.091.0 65.0 46.0…The 0 in the numerator for the formula for the paired samples + test statistic represents the _____ hypothesis. a. mean difference score according to the alternative b. population standard deviation accordiing to the alternative c. population standard deviation according to the null d. mean difference score according to the null
- Consider two populations in the same state. Both populations are the same size (22,000). Population 1 consists of all students at the State university. Population 2 consists of all residents in a small town. Consider the variable Age. Which population would most likely have the largest standard deviation? They would likely have the same standard deviation(SD) for age because they have the same population size. O Population 2 would more likely have a higher standard deviation (SD) than Population 1. Population 1 would more likely have a higher standard deviation(SD) than Population 2 There is not enough information to tell.If a researcher wants to determine if one sample mean significantly differs from a population mean and she uses the standard deviation of the sample to estimate the standard deviation of the population, what statistic would she use? Group of answer choices z-test one sample t-test independent t-test dependent t-testThe manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 4.2 minutes. The population standard deviation is known to be 0.6 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 4 minutes. The test statistic is O a. 5.56 O b. 0.33 O c. 2.58 O d. 3.33
- Explain how each of the following influences the value of the z-score in a hypothesis test a. increasing the difference between the sample mean and the original population mean b. increasing the population standard deviation c. increasing the number of scores in the sampleAn experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₁: H₁ C a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? H₂ H₂ No candy Two candies B. Ho: M₁ = H₂ H₁: H₁ H₂ D. Ho: H₁ μ H₁ H₂ H₂ H₁: M₁I need help on my homeworkAssume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 131 batteries from each manufacturer were measured. The population standard deviations of the voltage for each manufacturer are known. The results are summarized in the following table. Manufacturer Sample mean voltage (millivolts) Population standard deviat A 116 3 115 4 What type of hypothesis test should be performed? Right-tailed z-test v What is the test statistic? Ex: 0.12 Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the a = 0.01 significance level? Select vWomen stereotypically talk more than men do and researchers wondered how much more. Suppose a study attempted to determine the difference in the mean number of words spoken by men or women per day. The results of the study are summarized in the table. Group Populationmean Samplesize Samplemean Sample standarddeviation Standard errorestimate women ?w (unknown) ?w= 36 ?⎯⎯⎯w= 14704 ?w=6215 SEw=1036 men ?m (unknown) ?m= 24 ?⎯⎯⎯m= 15022 ?m=7864 SEm=1605 df=41.4224 Assume the conditions are satisfied for a two‑sample ?‑confidence interval. First, determine the positive critical value, ?, for a 95% confidence interval to estimate how many more words women speak each day on average compared to men, ?w−?m. Give your answer precise to at least three decimal places. Determine lower and upper limits of a 95% confidence interval for how many more words speak each day on average compared to men. A negative number would indicate how many fewer words women speak each day on average…SEE MORE QUESTIONS